TY - JOUR A1 - Mardoukhi, Yousof A1 - Chechkin, Aleksei V. A1 - Metzler, Ralf T1 - Spurious ergodicity breaking in normal and fractional Ornstein–Uhlenbeck process JF - New Journal of Physics N2 - The Ornstein–Uhlenbeck process is a stationary and ergodic Gaussian process, that is fully determined by its covariance function and mean. We show here that the generic definitions of the ensemble- and time-averaged mean squared displacements fail to capture these properties consistently, leading to a spurious ergodicity breaking. We propose to remedy this failure by redefining the mean squared displacements such that they reflect unambiguously the statistical properties of any stochastic process. In particular we study the effect of the initial condition in the Ornstein–Uhlenbeck process and its fractional extension. For the fractional Ornstein–Uhlenbeck process representing typical experimental situations in crowded environments such as living biological cells, we show that the stationarity of the process delicately depends on the initial condition. KW - Ornstein–Uhlenbeck process KW - stationary stochastic process KW - ensemble and time averaged mean squared displacement Y1 - 2020 U6 - https://doi.org/10.1088/1367-2630/ab950b SN - 1367-2630 VL - 22 PB - IOP CY - London ER - TY - JOUR A1 - Ulmann, Bernd A1 - Wendt, Martin A1 - Klöckl, Ingo ED - Höltgen, Stefan T1 - Medientechnisches Wissen JF - Band 3: Mathematik, Physik, Chemie N2 - Das mehrbändige Lehrbuch vermittelt Studierenden und Medienwissenschaftlern eine Einführung aus den Naturwissenschaften, Ingenieurwissenschaften und Technik-Disziplinen. Dabei steht im Zentrum, die Lesekompetenz für die jeweilige Disziplin zu etablieren und zu verbessern, damit innerhalb medien- und kulturwissenschaftlicher Studienprogramme Fachtexte der einzelnen Disziplinen diskutiert werden können N2 - This multi-volume textbook provides media students and professionals an introduction to disciplines in the natural sciences, engineering, and technology. It focuses on establishing and improving scientific literacy to facilitate the discussion of technical disciplines in media and cultural studies Y1 - 2020 SN - 978-3-11-049626-0 SN - 978-3-11-049627-7 SN - 978-3-11-049359-7 U6 - https://doi.org/10.1515/9783110496277 PB - de Gruyter CY - Berlin ER - TY - JOUR A1 - Park, Jaeheung A1 - Stolle, Claudia A1 - Yamazaki, Yosuke A1 - Rauberg, Jan A1 - Michaelis, Ingo A1 - Olsen, Nils T1 - Diagnosing low-/mid-latitude ionospheric currents using platform magnetometers BT - CryoSat-2 and GRACE-FO JF - Earth, planets and space N2 - Electric currents flowing in the terrestrial ionosphere have conventionally been diagnosed by low-earth-orbit (LEO) satellites equipped with science-grade magnetometers and long booms on magnetically clean satellites. In recent years, there are a variety of endeavors to incorporate platform magnetometers, which are initially designed for navigation purposes, to study ionospheric currents. Because of the suboptimal resolution and significant noise of the platform magnetometers, however, most of the studies were confined to high-latitude auroral regions, where magnetic field deflections from ionospheric currents easily exceed 100 nT. This study aims to demonstrate the possibility of diagnosing weak low-/mid-latitude ionospheric currents based on platform magnetometers. We use navigation magnetometer data from two satellites, CryoSat-2 and the Gravity Recovery and Climate Experiment Follow-On (GRACE-FO), both of which have been intensively calibrated based on housekeeping data and a high-precision geomagnetic field model. Analyses based on 8 years of CryoSat-2 data as well as similar to 1.5 years of GRACE-FO data reproduce well-known climatology of inter-hemispheric field-aligned currents (IHFACs), as reported by previous satellite missions dedicated to precise magnetic observations. Also, our results show that C-shaped structures appearing in noontime IHFAC distributions conform to the shape of the South Atlantic Anomaly. The F-region dynamo currents are only partially identified in the platform magnetometer data, possibly because the currents are weaker than IHFACs in general and depend significantly on altitude and solar activity. Still, this study evidences noontime F-region dynamo currents at the highest altitude (717 km) ever reported. We expect that further data accumulation from continuously operating missions may reveal the dynamo currents more clearly during the next solar maximum. KW - Platform magnetometers KW - CryoSat-2 KW - GRACE-FO KW - Inter-hemispheric KW - field-aligned currents KW - F-region dynamo currents Y1 - 2020 U6 - https://doi.org/10.1186/s40623-020-01274-3 SN - 1343-8832 SN - 1880-5981 VL - 72 IS - 1 PB - Springer CY - New York ER - TY - JOUR A1 - Marschall, Raphael A1 - Skorov, Yuri A1 - Zakharov, Vladimir A1 - Rezac, Ladislav A1 - Gerig, Selina-Barbara A1 - Christou, Chariton A1 - Dadzie, S. Kokou A1 - Migliorini, Alessandra A1 - Rinaldi, Giovanna A1 - Agarwal, Jessica A1 - Vincent, Jean-Baptiste A1 - Kappel, David T1 - Cometary comae-surface links the physics of gas and dust from the surface to a spacecraft JF - Space science reviews N2 - A comet is a highly dynamic object, undergoing a permanent state of change. These changes have to be carefully classified and considered according to their intrinsic temporal and spatial scales. The Rosetta mission has, through its contiguous in-situ and remote sensing coverage of comet 67P/Churyumov-Gerasimenko (hereafter 67P) over the time span of August 2014 to September 2016, monitored the emergence, culmination, and winding down of the gas and dust comae. This provided an unprecedented data set and has spurred a large effort to connect in-situ and remote sensing measurements to the surface. In this review, we address our current understanding of cometary activity and the challenges involved when linking comae data to the surface. We give the current state of research by describing what we know about the physical processes involved from the surface to a few tens of kilometres above it with respect to the gas and dust emission from cometary nuclei. Further, we describe how complex multidimensional cometary gas and dust models have developed from the Halley encounter of 1986 to today. This includes the study of inhomogeneous outgassing and determination of the gas and dust production rates. Additionally, the different approaches used and results obtained to link coma data to the surface will be discussed. We discuss forward and inversion models and we describe the limitations of the respective approaches. The current literature suggests that there does not seem to be a single uniform process behind cometary activity. Rather, activity seems to be the consequence of a variety of erosion processes, including the sublimation of both water ice and more volatile material, but possibly also more exotic processes such as fracture and cliff erosion under thermal and mechanical stress, sub-surface heat storage, and a complex interplay of these processes. Seasons and the nucleus shape are key factors for the distribution and temporal evolution of activity and imply that the heliocentric evolution of activity can be highly individual for every comet, and generalisations can be misleading. KW - comets KW - coma KW - gas KW - dust KW - dynamics KW - modelling KW - inversion Y1 - 2020 U6 - https://doi.org/10.1007/s11214-020-00744-0 SN - 0038-6308 SN - 1572-9672 VL - 216 IS - 8 PB - Springer CY - Dordrecht ER - TY - JOUR A1 - Metzler, Ralf T1 - Superstatistics and non-Gaussian diffusion JF - The European physical journal special topics N2 - Brownian motion and viscoelastic anomalous diffusion in homogeneous environments are intrinsically Gaussian processes. In a growing number of systems, however, non-Gaussian displacement distributions of these processes are being reported. The physical cause of the non-Gaussianity is typically seen in different forms of disorder. These include, for instance, imperfect "ensembles" of tracer particles, the presence of local variations of the tracer mobility in heteroegenous environments, or cases in which the speed or persistence of moving nematodes or cells are distributed. From a theoretical point of view stochastic descriptions based on distributed ("superstatistical") transport coefficients as well as time-dependent generalisations based on stochastic transport parameters with built-in finite correlation time are invoked. After a brief review of the history of Brownian motion and the famed Gaussian displacement distribution, we here provide a brief introduction to the phenomenon of non-Gaussianity and the stochastic modelling in terms of superstatistical and diffusing-diffusivity approaches. KW - Brownian diffusion KW - anomalous diffusion KW - dynamics KW - kinetic-theory KW - models KW - motion KW - nanoparticles KW - nonergodicity KW - statistics KW - subdiffusion Y1 - 2020 U6 - https://doi.org/10.1140/epjst/e2020-900210-x SN - 1951-6355 SN - 1951-6401 VL - 229 IS - 5 SP - 711 EP - 728 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Abdalla, Hassan E. A1 - Adam, Remi A1 - Aharonian, Felix A. A1 - Benkhali, Faical Ait A1 - Angüner, Ekrem Oǧuzhan A1 - Arakawa, Masanori A1 - Arcaro, C A1 - Armand, Catherine A1 - Armstrong, T. A1 - Egberts, Kathrin T1 - Very high energy γ-ray emission from two blazars of unknown redshift and upper limits on their distance JF - Monthly Notices of the Royal Astronomical Society N2 - We report on the detection of very high energy (VHE; E > 100 GeV) gamma-ray emission from the BL Lac objects KUV 00311-1938 and PKS 1440-389 with the High Energy Stereoscopic System (H.E.S.S.). H.E.S.S. observations were accompanied or preceded by multiwavelength observations with Fermi/LAT, XRT and UVOT onboard the Swift satellite, and ATOM. Based on an extrapolation of the Fermi/LAT spectrum towards the VHE gamma-ray regime, we deduce a 95 per cent confidence level upper limit on the unknown redshift of KUV 00311-1938 of z < 0.98 and of PKS 1440-389 of z < 0.53. When combined with previous spectroscopy results, the redshift of KUV 00311-1938 is constrained to 0.51 <= z < 0.98 and of PKS 1440-389 to 0.14 (sic) z < 0.53. KW - BL Lacertae objects: individual KW - galaxies: high-redshift KW - gamma-rays: general KW - Resolved and unresolved sources as a function of wavelength Y1 - 2020 VL - 494 IS - 4 PB - Wiley-Blackwell CY - Oxford ER - TY - JOUR A1 - Geier, Stephan T1 - The population of hot subdwarf stars studied with Gaia BT - III. catalogue of known hot subdwarf stars : data release JF - Astronomy and astrophysics : an international weekly journal N2 - In light of substantial new discoveries of hot subdwarfs by ongoing spectroscopic surveys and the availability of new all-sky data from ground-based photometric surveys and the Gaia mission Data Release 2, we compiled an updated catalogue of the known hot subdwarf stars. The catalogue contains 5874 unique sources including 528 previously unknown hot subdwarfs and provides multi-band photometry, astrometry from Gaia, and classifications based on spectroscopy and colours. This new catalogue provides atmospheric parameters of 2187 stars and radial velocities of 2790 stars from the literature. Using colour, absolute magnitude, and reduced proper motion criteria, we identified 268 previously misclassified objects, most of which are less luminous white dwarfs or more luminous blue horizontal branch and main-sequence stars. KW - subdwarfs KW - stars: horizontal-branch KW - catalogs Y1 - 2020 U6 - https://doi.org/10.1051/0004-6361/202037526 SN - 0004-6361 SN - 1432-0746 VL - 635 PB - EDP Sciences CY - Les Ulis ER - TY - JOUR A1 - Schirdewahn, Daniel T1 - Stability of a parametric harmonic oscillator with dichotomic noise JF - Chaos : an interdisciplinary journal of nonlinear science N2 - The harmonic oscillator is a powerful model that can appear as a limit case when examining a nonlinear system. A well known fact is that, without driving, the inclusion of a friction term makes the origin of the phase space-which is a fixed point of the system-linearly stable. In this work, we include a telegraph process as perturbation of the oscillator's frequency, for example, to describe the motion of a particle with fluctuating charge gyrating in an external magnetic field. Increasing intensity of this colored noise is capable of changing the quality of the fixed point. To characterize the stability of the system, we use a stability measure that describes the growth of the displacement of the system's phase space position and express it in a closed form. We expand the respective exponent for light friction and low noise intensity and compare both the exact analytic solution and the expansion to numerical values. Our findings allow stability predictions for several physical systems. Y1 - 2020 U6 - https://doi.org/10.1063/5.0012946 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 9 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Rosenblum, Michael T1 - Controlling collective synchrony in oscillatory ensembles by precisely timed pulses JF - Chaos : an interdisciplinary journal of nonlinear science N2 - We present an efficient technique for control of synchrony in a globally coupled ensemble by pulsatile action. We assume that we can observe the collective oscillation and can stimulate all elements of the ensemble simultaneously. We pay special attention to the minimization of intervention into the system. The key idea is to stimulate only at the most sensitive phase. To find this phase, we implement an adaptive feedback control. Estimating the instantaneous phase of the collective mode on the fly, we achieve efficient suppression using a few pulses per oscillatory cycle. We discuss the possible relevance of the results for neuroscience, namely, for the development of advanced algorithms for deep brain stimulation, a medical technique used to treat Parkinson's disease. Y1 - 2020 U6 - https://doi.org/10.1063/5.0019823 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 9 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Xu, Pengbo A1 - Zhou, Tian A1 - Metzler, Ralf A1 - Deng, Weihua T1 - Lévy walk dynamics in an external harmonic potential JF - Physical review : E, Statistical, nonlinear, and soft matter physics N2 - Levy walks (LWs) are spatiotemporally coupled random-walk processes describing superdiffusive heat conduction in solids, propagation of light in disordered optical materials, motion of molecular motors in living cells, or motion of animals, humans, robots, and viruses. We here investigate a key feature of LWs-their response to an external harmonic potential. In this generic setting for confined motion we demonstrate that LWs equilibrate exponentially and may assume a bimodal stationary distribution. We also show that the stationary distribution has a horizontal slope next to a reflecting boundary placed at the origin, in contrast to correlated superdiffusive processes. Our results generalize LWs to confining forces and settle some longstanding puzzles around LWs. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.101.062127 SN - 2470-0045 SN - 2470-0053 SN - 1550-2376 SN - 1063-651X SN - 1539-3755 VL - 101 IS - 6 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Quade, Markus A1 - Isele, Thomas A1 - Abel, Markus T1 - Machine learning control BT - explainable and analyzable methods JF - Physica : D, Nonlinear phenomena N2 - Recently, the term explainable AI came into discussion as an approach to produce models from artificial intelligence which allow interpretation. For a long time, symbolic regression has been used to produce explainable and mathematically tractable models. In this contribution, we extend previous work on symbolic regression methods to infer the optimal control of a dynamical system given one or several optimization criteria, or cost functions. In earlier publications, network control was achieved by automated machine learning control using genetic programming. Here, we focus on the subsequent path continuation analysis of the mathematical expressions which result from the machine learning model. In particular, we use AUTO to analyze the solution properties of the controlled oscillator system which served as our model. As a result, we show that there is a considerable advantage of explainable symbolic regression models over less accessible neural networks. In particular, the roadmap of future works may be to integrate such analyses into the optimization loop itself to filter out robust solutions by construction. KW - Explainable AI KW - Machine learning control KW - Dynamical systems KW - Synchronization control KW - Genetic programming Y1 - 2020 U6 - https://doi.org/10.1016/j.physd.2020.132582 SN - 0167-2789 SN - 1872-8022 VL - 412 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Sangian, Danial T1 - Improving the performance of dielectric-elastomer actuators at elevated operating temperatures by means of thermal softening JF - Smart materials and structures N2 - Dielectric elastomer devices operate on the principle of Maxwell stress and their operating performance significantly rely on the elastomer and compliant electrode's electrical and mechanical properties. This paper reports that performing actuation tests at elevated temperatures resulted in an enhanced performance due to the reduction of Young's modulus and the increase of dielectric permittivity. As a result, considerably higher isometric forces and isotonic strains were achieved above the ambient operating temperature. For actuators made of silicone, polyurethane and acrylic elastomers, 166%, 70% and 266% higher isometric forces and 450%, 250% and 54% higher isotonic strains were observed, respectively, when tested at the temperature of 100 degrees C in comparison to ambient temperature values using the same operating voltages. Values of up to 0.4 J kg(-1) and 3.1 W kg(-1) were achieved for the work and power outputs per mass, respectively, on a silicone elastomer driven with a voltage of 1.5 kV at a temperature of 100 degrees C. KW - elevated-temperature effects on the operation of dielectric-elastomer KW - actuators KW - thermally enhanced actuators KW - thermal stimulation of KW - electro-electrets Y1 - 2020 U6 - https://doi.org/10.1088/1361-665X/ab6079 SN - 0964-1726 SN - 1361-665X VL - 29 IS - 2 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Fumani, F. Khastehdel A1 - Nemati, Somayyeh A1 - Mahdavifar, Saeed T1 - Quantum critical lines in the ground state phase diagram of spin-1/2 frustrated transverse-field ising chains JF - Annalen der Physik N2 - This paper focuses on the ground state phase diagram of a 1D spin-1/2 quantum Ising model with competing first and second nearest neighbour interactions known as the axial next nearest neighbour Ising model in the presence of a transverse magnetic field. Here, using quantum correlations, both numerically and analytically, some evidence is provided to clarify the identification of the ground state phase diagram. Local quantum correlations play a crucial role in detecting the critical lines either revealed or hidden by symmetry-breaking. A non-symmetry-breaking disorder transition line can be identified by the first derivative of both entanglement of formation and quantum discord between nearest neighbour spins. In addition, the quantum correlations between the second neighbour spins can also be used to reveal Kosterlitz-Thouless phase transition when their interaction strength grows and becomes closer to the first nearest neighbour one. The results obtained using the Jordan-Wigner transformation confirm the accuracy of the numerical case. KW - axial next nearest neighbour Ising chains KW - quantum correlations KW - quantum KW - phase transitions Y1 - 2020 U6 - https://doi.org/10.1002/andp.202000384 SN - 0003-3804 SN - 1521-3889 VL - 533 IS - 2 PB - Wiley-VCH CY - Weinheim ER - TY - JOUR A1 - Sparre, Martin A1 - Pfrommer, Christoph A1 - Ehlert, Kristian T1 - Interaction of a cold cloud with a hot wind BT - the regimes of cloud growth and destruction and the impact of magnetic fields JF - Monthly notices of the Royal Astronomical Society N2 - Multiphase galaxy winds, the accretion of cold gas through galaxy haloes, and gas stripping from jellyfish galaxies are examples of interactions between cold and hot gaseous phases. There are two important regimes in such systems. A sufficiently small cold cloud is destroyed by the hot wind as a result of Kelvin-Helmholtz instabilities, which shatter the cloud into small pieces that eventually mix and dissolve in the hot wind. In contrast, stripped cold gas from a large cloud mixes with the hot wind to intermediate temperatures, and then becomes thermally unstable and cools, causing a net accretion of hot gas to the cold tail. Using the magneto-hydrodynamical code AREPO, we perform cloud crushing simulations and test analytical criteria for the transition between the growth and destruction regimes to clarify a current debate in the literature. We find that the hot-wind cooling time sets the transition radius and not the cooling time of the mixed phase. Magnetic fields modify the wind-cloud interaction. Draping of wind magnetic field enhances the field upstream of the cloud, and fluid instabilities are suppressed by a turbulently magnetized wind beyond what is seen for a wind with a uniform magnetic field. We furthermore predict jellyfish galaxies to have ordered magnetic fields aligned with their tails. We finally discuss how the results of idealized simulations can be used to provide input to subgrid models in cosmological (magneto-)hydrodynamical simulations, which cannot resolve the detailed small-scale structure of cold gas clouds in the circumgalactic medium. KW - methods: numerical KW - ISM: jets and outflows KW - galaxies: formation Y1 - 2020 U6 - https://doi.org/10.1093/mnras/staa3177 SN - 0035-8711 SN - 1365-2966 VL - 499 IS - 3 SP - 4261 EP - 4281 PB - Oxford Univ. Press CY - Oxford ER - TY - JOUR A1 - Villatoro Leal, José Andrés A1 - Zühlke, Martin A1 - Riebe, Daniel A1 - Beitz, Toralf A1 - Weber, Marcus A1 - Löhmannsröben, Hans-Gerd T1 - Sub-ambient pressure IR-MALDI ion mobility spectrometer for the determination of low and high field mobilities JF - Analytical and bioanalytical chemistry : a merger of Fresenius' journal of analytical chemistry, Analusis and Quimica analitica N2 - A new ion mobility (IM) spectrometer, enabling mobility measurements in the pressure range between 5 and 500 mbar and in the reduced field strength range E/N of 5-90 Td, was developed and characterized. Reduced mobility (K-0) values were studied under low E/N (constant value) as well as high E/N (deviation from low field K-0) for a series of molecular ions in nitrogen. Infrared matrix-assisted laser desorption ionization (IR-MALDI) was used in two configurations: a source working at atmospheric pressure (AP) and, for the first time, an IR-MALDI source working with a liquid (aqueous) matrix at sub-ambient/reduced pressure (RP). The influence of RP on IR-MALDI was examined and new insights into the dispersion process were gained. This enabled the optimization of the IM spectrometer for best analytical performance. While ion desolvation is less efficient at RP, the transport of ions is more efficient, leading to intensity enhancement and an increased number of oligomer ions. When deciding between AP and RP IR-MALDI, a trade-off between intensity and resolving power has to be considered. Here, the low field mobility of peptide ions was first measured and compared with reference values from ESI-IM spectrometry (at AP) as well as collision cross sections obtained from molecular dynamics simulations. The second application was the determination of the reduced mobility of various substituted ammonium ions as a function of E/N in nitrogen. The mobility is constant up to a threshold at high E/N. Beyond this threshold, mobility increases were observed. This behavior can be explained by the loss of hydrated water molecules. KW - ion mobility spectrometry KW - IR-MALDI KW - high field mobility KW - dub-ambient KW - pressure KW - peptides Y1 - 2020 U6 - https://doi.org/10.1007/s00216-020-02735-0 SN - 1618-2642 SN - 1618-2650 VL - 412 IS - 22 SP - 5247 EP - 5260 PB - Springer CY - Heidelberg ER - TY - GEN A1 - Beta, Carsten A1 - Gov, Nir S. A1 - Yochelis, Arik T1 - Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - During the last decade, intracellular actin waves have attracted much attention due to their essential role in various cellular functions, ranging from motility to cytokinesis. Experimental methods have advanced significantly and can capture the dynamics of actin waves over a large range of spatio-temporal scales. However, the corresponding coarse-grained theory mostly avoids the full complexity of this multi-scale phenomenon. In this perspective, we focus on a minimal continuum model of activator–inhibitor type and highlight the qualitative role of mass conservation, which is typically overlooked. Specifically, our interest is to connect between the mathematical mechanisms of pattern formation in the presence of a large-scale mode, due to mass conservation, and distinct behaviors of actin waves. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 967 KW - nonlinear waves KW - actin polymerization KW - bifurcation theory KW - mass conservation KW - spatial localization KW - pattern formation KW - activator–inhibitor models Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-473588 SN - 1866-8372 IS - 967 ER - TY - GEN A1 - Mardoukhi, Yousof A1 - Chechkin, Aleksei V. A1 - Metzler, Ralf T1 - Spurious ergodicity breaking in normal and fractional Ornstein–Uhlenbeck process T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - The Ornstein–Uhlenbeck process is a stationary and ergodic Gaussian process, that is fully determined by its covariance function and mean. We show here that the generic definitions of the ensemble- and time-averaged mean squared displacements fail to capture these properties consistently, leading to a spurious ergodicity breaking. We propose to remedy this failure by redefining the mean squared displacements such that they reflect unambiguously the statistical properties of any stochastic process. In particular we study the effect of the initial condition in the Ornstein–Uhlenbeck process and its fractional extension. For the fractional Ornstein–Uhlenbeck process representing typical experimental situations in crowded environments such as living biological cells, we show that the stationarity of the process delicately depends on the initial condition. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 981 KW - Ornstein–Uhlenbeck process KW - stationary stochastic process KW - ensemble and time averaged mean squared displacement Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-474875 SN - 1866-8372 IS - 981 ER - TY - THES A1 - Dahlke, Sandro T1 - Rapid climate changes in the arctic region of Svalbard T1 - Aktuelle Klimaänderungen in der Svalbard-Region BT - processes, implications and representativeness for the broader Arctic BT - Prozesse, Auswirkungen und Repräsentativität für die Arktis N2 - Over the last decades, the Arctic regions of the earth have warmed at a rate 2–3 times faster than the global average– a phenomenon called Arctic Amplification. A complex, non-linear interplay of physical processes and unique pecularities in the Arctic climate system is responsible for this, but the relative role of individual processes remains to be debated. This thesis focuses on the climate change and related processes on Svalbard, an archipelago in the North Atlantic sector of the Arctic, which is shown to be a "hotspot" for the amplified recent warming during winter. In this highly dynamical region, both oceanic and atmospheric large-scale transports of heat and moisture interfere with spatially inhomogenous surface conditions, and the corresponding energy exchange strongly shapes the atmospheric boundary layer. In the first part, Pan-Svalbard gradients in the surface air temperature (SAT) and sea ice extent (SIE) in the fjords are quantified and characterized. This analysis is based on observational data from meteorological stations, operational sea ice charts, and hydrographic observations from the adjacent ocean, which cover the 1980–2016 period. It is revealed that typical estimates of SIE during late winter range from 40–50% (80–90%) in the western (eastern) parts of Svalbard. However, strong SAT warming during winter of the order of 2–3K per decade dictates excessive ice loss, leaving fjords in the western parts essentially ice-free in recent winters. It is further demostrated that warm water currents on the west coast of Svalbard, as well as meridional winds contribute to regional differences in the SIE evolution. In particular, the proximity to warm water masses of the West Spitsbergen Current can explain 20–37% of SIE variability in fjords on west Svalbard, while meridional winds and associated ice drift may regionally explain 20–50% of SIE variability in the north and northeast. Strong SAT warming has overruled these impacts in recent years, though. In the next part of the analysis, the contribution of large-scale atmospheric circulation changes to the Svalbard temperature development over the last 20 years is investigated. A study employing kinematic air-back trajectories for Ny-Ålesund reveals a shift in the source regions of lower-troposheric air over time for both the winter and the summer season. In winter, air in the recent decade is more often of lower-latitude Atlantic origin, and less frequent of Arctic origin. This affects heat- and moisture advection towards Svalbard, potentially manipulating clouds and longwave downward radiation in that region. A closer investigation indicates that this shift during winter is associated with a strengthened Ural blocking high and Icelandic low, and contributes about 25% to the observed winter warming on Svalbard over the last 20 years. Conversely, circulation changes during summer include a strengthened Greenland blocking high which leads to more frequent cold air advection from the central Arctic towards Svalbard, and less frequent air mass origins in the lower latitudes of the North Atlantic. Hence, circulation changes during winter are shown to have an amplifying effect on the recent warming on Svalbard, while summer circulation changes tend to mask warming. An observational case study using upper air soundings from the AWIPEV research station in Ny-Ålesund during May–June 2017 underlines that such circulation changes during summer are associated with tropospheric anomalies in temperature, humidity and boundary layer height. In the last part of the analysis, the regional representativeness of the above described changes around Svalbard for the broader Arctic is investigated. Therefore, the terms in the diagnostic temperature equation in the Arctic-wide lower troposphere are examined for the Era-Interim atmospheric reanalysis product. Significant positive trends in diabatic heating rates, consistent with latent heat transfer to the atmosphere over regions of increasing ice melt, are found for all seasons over the Barents/Kara Seas, and in individual months in the vicinity of Svalbard. The above introduced warm (cold) advection trends during winter (summer) on Svalbard are successfully reproduced. Regarding winter, they are regionally confined to the Barents Sea and Fram Strait, between 70°–80°N, resembling a unique feature in the whole Arctic. Summer cold advection trends are confined to the area between eastern Greenland and Franz Josef Land, enclosing Svalbard. N2 - Die Arktis hast sich über die letzten Jahrzehnte etwa 2–3 mal so schnell erwärmt wie die globale Mitteltemperatur der Erde, wofür der Begriff Arktische Verstärkung geprägt wurde. Eine komplexe Kaskade nichtlinear miteinander interagierender Prozesse und lokaler Bedingungen ist für das Auftreten dieses Phänomens verantwortlich, jedoch bleibt ein wissenschaftlicher Konsens zur Quantifizierung einzelner beteiligter Prozesse noch aus. Diese Arbeit befasst sich mit den Klimaänderungen und assoziierten Prozessen in der Svalbard-Region, einem arktischen Archipel im Nordatlantik. Svalbard kann als Brennpunkt der arktischen Veränderungen bezeichnet werden, vor allem während des Winters. In dieser ausgesprochen dynamischen Region interagieren die Energieflüsse durch großskalige atmosphärische und ozeanische Wärme- und Feuchtetransporte mit der heteorogenen Oberfläche, die sich aus Eis-, Wasser-, oder Landflächen zusammensetzt. Die daraus resultierenden horizontalen und vertikalen Energieflüsse stehen in engem Zusammenhang mit der Beschaffenheit der atmosphärischen Grenzschicht. Im ersten Teil dieser Arbeit werden laterale Unterschiede in der Oberflächentemperatur (SAT), sowie der Meereisbedeckung (SIE) in den Fjorden und Sunden des Archipels quantifiziert und klassifiziert. Dies geschieht auf der Grundlage von meteorologischen Stationsmessdaten und operationellen Eisbedeckungskarten der Jahe 1980–2016. Es zeigt sich, dass prozentuale Eisbedeckungen im Osten des Studiengebietes typischerweise 80–90% im Winter erreichen, während diese Werte in Fjorden der Westküste mit 40–50% deutlich niedriger liegen. Allerdings bedingt eine starke, winterliche SAT Erwärmung von 2–3K pro Jahrzehnt signifikante SIE Abwärtstrends, sodass die Fjorde im Westen von Svalbard in den jüngeren Wintern üblicherweise eisfrei waren. Im Weiteren wird gezeigt dass die warmen Ozeanströmungen nahe der Westküste, sowie spezielle Windkonstellationen, einen signifikanten regionalen Einfluss auf die langzeitliche Entwicklung der Meereisbedeckung ausüben. So kann Variabilität in der Temperatur des Westspitzbergenstroms etwa 20–37% der zwischenjährlichen SIE Variabilität in den Fjorden der Westküste erklären. Die meridionale Atmosphärenströmung nordwestlich von Spitzbergen, die hochkorelliert mit Eisdrift ist, kann andererseits –regional abhängig– etwa 20–50% der SIE-Variablität in den nördlichen und nordöstlichen Fjorden erklären. Durch den starken temperaturbedingten Eisrückgang in der gesamten Region sind diese Einflüsse zuletzt jedoch stark abgeschwächt. Im Folgenden wird der Beitrag von Zirkulationsänderungen zur Temperaturentwicklung Svalbards während der letzten 20 Jahre untersucht. Die Analyse basiert auf den Quellregionen troposphärischer Luftmassen, die sich aus kinematischen FLEXTRA-Rückwärtstrajektorien ergeben. Für den Winter zeigt sich, dass sich diese zuletzt immer häufiger in sub-arktische Gebiete über dem Nordatlantik verlagert hatten, und seltener in der hohen Arktis lagen. Dies moduliert Warmluft-, und Feuchtetransporte in Richtung Spitzbergen, und beeinflusst potentiell Wolkencharakteristiken und assoziierte Strahlungsprozesse. Nähere Untersuchen zeigen dass ein zuletzt stärker ausgeprägtes Uralhoch und Islandtief dafür verantwortlich sind, und dass dies einen Beitrag von etwa 25% zur jüngsten Wintererwärmung auf Spitzbergen hat. Sommertrajektorien offenbaren eine gegensätzliche Entwicklung, mit häufigerer Anströmung aus der Zentralarktis, welche mit Kaltluftadvektion einhergeht, auf Kosten von seltenerer Anströmung aus dem Süden. Dies liegt in einem während der letzten 10 Jahre stark ausgeprägten Grönlandhoch begründet. Eine Fallstudie anhand von Radiosondendaten vom Frühsommer 2017 untermauert die Ergebnisse und zeigt darüber hinaus, dass derartige Zirkulationsänderungen mit ausgeprägten Anomalien von troposphärischen Temperaturen,Feuchtigkeit, und der Grenzschichthöhe in Ny-Ålesund einher geht. Interessanterweise tragen Zirkulationsänderungen im Winter also verstärkend zur Erwärmung auf Svalbard bei, während jene im Sommer einer stärkeren Erwärmung entgegenwirken. In einem letzten Analyseschritt wird die regionale Repräsentativität der Region für die weitere Arktis erörtert. Die Analyse von Era-Interim Reanalysedaten untermauert hierbei zunächst die advektiven Temperaturänderungen in Sommer und Winter in der Region um Svalbard. Der Trend zu verstärkt positiver winterlicher Temperaturadvektion ist einzigartig in der Arktis und beschränkt sich auf die Regionen zwischen Barentssee, Spitzbergen und der nördlichen Framstraße. Die sommerliche erhöhte Kaltluftadvektion findet sich in einem weiten Gebiet zwischen der Ostküste Grönlands und Franz-Josef-Land, welches Svalbard einschließt. Ein diabatischer Erwärmungstrend, der mit aufwärts gerichteten latenten Energieflüssen und Eisrückgang konsistent ist, findet sich in allen Jahreszeiten über der Barents/Karasee wieder, und erstreckt sich in einzelnen Monaten bis nach Svalbard. KW - arctic KW - climate KW - Svalbard KW - meteorology KW - climatology KW - atmosphere KW - Arktis KW - Klima KW - Svalbard KW - Meteorologie KW - Klimatologie KW - Atmosphäre Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-445542 ER - TY - JOUR A1 - Laing, Carlo R. A1 - Omel'chenko, Oleh T1 - Moving bumps in theta neuron networks JF - Chaos : an interdisciplinary journal of nonlinear science N2 - We consider large networks of theta neurons on a ring, synaptically coupled with an asymmetric kernel. Such networks support stable "bumps" of activity, which move along the ring if the coupling kernel is asymmetric. We investigate the effects of the kernel asymmetry on the existence, stability, and speed of these moving bumps using continuum equations formally describing infinite networks. Depending on the level of heterogeneity within the network, we find complex sequences of bifurcations as the amount of asymmetry is varied, in strong contrast to the behavior of a classical neural field model. Y1 - 2020 U6 - https://doi.org/10.1063/1.5143261 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 4 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Richter, Philipp T1 - Hot gas in galaxy halos traced by coronal broad Lyα absorbers JF - The astrophysical journal : an international review of spectroscopy and astronomical physics N2 - We explore the possibility to systematically study the extended, hot gaseous halos of low-redshift galaxies with coronal broad Lya absorbers (CBLAs). These are weak, thermally broadenend H I absorption lines arising from the tiny fraction of neutral hydrogen that resides in the collisionally ionized, million-degree halo gas in these galaxies. Using a semi-analytic approach, we model the spatial density and temperature distribution of hot coronal gas to predict strength, spectral shape, and cross section of CBLAs as a function of galaxy-halo mass and line-of-sight impact parameter. For virial halo masses in the range log M M = 10.6 12.6, the characteristic logarithmic CBLA H I column densities and Doppler parameters are log N(H I) = 12.4- 13.4 and b(H I).=.70-200 km s-1, indicating that CBLAs represent weak, shallow spectral features that are difficult to detect. Yet, the expected number density of CBLAs per unit redshift in the above given mass range is d. dz(CBLA). 3, implying that CBLAs have a substantial absorption cross section. We compare the model predictions with a combined set of UV absorption-line spectra from the Hubble Space Telescope (HST)/Cosmic Origins Spectrograph and HST/Space Telescope Imaging Spectrograph that trace the halos of four low-redshift galaxies. We demonstrate that CBLAs might already have been detected in these spectra, but the complex multi-component structure and the limited signal-to-noise ratio complicate the interpretation of these CBLA candidate systems. Our study suggests that CBLAs represent a very interesting absorber class that potentially will allow us to further explore the hot coronae of galaxies with UV spectral data. Y1 - 2020 U6 - https://doi.org/10.3847/1538-4357/ab7937 SN - 0004-637X SN - 1538-4357 VL - 892 IS - 1 PB - IOP Publ. Ltd. CY - Bristol ER - TY - THES A1 - Hernandez Anguizola, Eloy Luis T1 - Numerical simulations in multimode fibres for astronomical spectroscopy N2 - The goal of this thesis was to thoroughly investigate the behavior of multimode fibres to aid the development of modern and forthcoming fibre-fed spectrograph systems. Based on the Eigenmode Expansion Method, a field propagation model was created that can emulate effects in fibres relevant for astronomical spectroscopy, such as modal noise, scrambling, and focal ratio degradation. These effects are of major concern for any fibre-coupled spectrograph used in astronomical research. Changes in the focal ratio, modal distribution of light or non-perfect scrambling limit the accuracy of measurements, e.g. the flux determination of the astronomical object, the sky-background subtraction and detection limit for faint galaxies, or the spectral line position accuracy used for the detection of extra-solar planets. Usually, fibres used for astronomical instrumentation are characterized empirically through tests. The results of this work allow to predict the fibre behaviour under various conditions using sophisticated software tools to simulate the waveguide behaviour and mode transport of fibres. The simulation environment works with two software interfaces. The first is the mode solver module FemSIM from Rsoft. It is used to calculate all the propagation modes and effective refractive indexes of a given system. The second interface consists of Python scripts which enable the simulation of the near- and far-field outputs of a given fibre. The characteristics of the input field can be manipulated to emulate real conditions. Focus variations, spatial translation, angular fluctuations, and disturbances through the mode coupling factor can also be simulated. To date, complete coherent propagation or complete incoherent propagation can be simulated. Partial coherence was not addressed in this work. Another limitation of the simulations is that they work exclusively for the monochromatic case and that the loss coefficient of the fibres is not considered. Nevertheless, the simulations were able to match the results of realistic measurements. To test the validity of the simulations, real fibre measurements were used for comparison. Two fibres with different cross-sections were characterized. The first fibre had a circular cross-section, and the second one had an octagonal cross-section. The utilized test-bench was originally developed for the prototype fibres of the 4MOST fibre feed characterization. It allowed for parallel laser beam measurements, light cone measurements, and scrambling measurements. Through the appropriate configuration, the acquisition of the near- and/or far-field was feasible. By means of modal noise analysis, it was possible to compare the near-field speckle patterns of simulations and measurements as a function of the input angle. The spatial frequencies that originate from the modal interference could be analyzed by using the power spectral density analysis. Measurements and simulations yielded similar results. Measurements with induced modal scrambling were compared to simulations using incoherent propagation and once again similar results were achieved. Through both measurements and simulations, the enlargement of the near-field distribution could be observed and analyzed. The simulations made it possible to explain incoherent intensity fluctuations that appear in real measurements due to the field distribution of the active propagation modes. By using the Voigt analysis in the far-field distribution, it was possible to separate the modal diffusion component in order to compare it with the simulations. Through an appropriate assessment, the modal diffusion component as a function of the input angle could be translated into angular divergence. The simulations gave the minimal angular divergence of the system. Through the mean of the difference between simulations and measurements, a figure of merit is given which can be used to characterize the angular divergence of real fibres using the simulations. Furthermore, it was possible to simulate light cone measurements. Due to the overall consistent results, it can be stated that the simulations represent a good tool to assist the fibre characterization process for fibre-fed spectrograph systems. This work was possible through the BMBF Grant 05A14BA1 which was part of the phase A study of the fibre system for MOSAIC, a multi-object spectrograph for the Extremely Large Telescope (ELT-MOS). N2 - Vorrangiges Ziel der Arbeit war eine ausführliche Untersuchung von Eigenschaften multimodaler Glasfasern mittels Simulationen und experimenteller Tests, welche die Charakterisierung fasergekoppelter astronomischer Spektrographen unterstützt. Die simulierten Effekte sind von großer Bedeutung für alle fasergekoppelten Spektrographen, die in der astronomischen Forschung verwendet werden. Jede Änderung des Öffnungsverhältnisses (durch Focal-Ratio-Degradation), der Modenanregung in der Glasfaser (modal noise) oder einer variablen Ausleuchtung (durch unzureichendes scrambling) schränkt die Genauigkeit der Messungen ein. Dies hat Auswirkungen auf die Intensitätsbestimmung des astronomischen Objekts, die Subtraktion des Himmelshintergrundes und damit die Detektion von lichtschwachen Galaxien, oder die spektrale Stabilität, die für den Nachweis von extra-solaren Planeten benötigt wird. Zwei Softwareprogramme wurden für die Simulationsumgebung verwendet. Zunächst wurde ein Modenrechner benötigt, um die ausbreitungsfähigen Moden des simulierten Systems zu berechenen. Dafür wurde das FemSIM-Modul von RSOFT eingesetzt. Anschließend wurden durch selbst geschriebene Python-Skripte die Nah- und Fernfelder am Faserausgang berechnet. Die Funktionen beinhalten die Berechnungen des Eingangsfeldes, der räumlichen Verschiebung, der Winkelabweichung des Eingangsfeldes, sowie der Störungseffekte durch Modenkopplung. Bisher konnte die Propagation der Felder kohärent oder inkohärent simuliert werden. Das umfangreiche Themenfeld der partiellen Kohärenz wurde in dieser Arbeit nicht behandelt. Außerdem sind die von der Wellenlänge abhängigen Verlustkoeffizienten nicht berücksichtig worden und die Simulationen beschränken sich auf den monochromatischen Fall. Dennoch war es möglich, eine gute Übereinstimmung von realen Messwerten und Simulationsergebnissen zu erlangen. Um die Gültigkeit der Simulationen zu überprüfen, wurden optische Fasern vermessen und die Ergebnisse zwischen Simulationen und Messungen verglichen. Hierfür wurden zwei Fasern mit unterschiedlichem Querschnitt verwendet: eine zirkulare Faser und eine oktagonale Faser. Der verwendete Prüfstand wurde für die Charakterisierung der 4MOST Faserprototypen entwickelt. Verschiedene Konfigurationen zur Charakterisierung optischer Fasern waren durch den Prüfstand möglich, z.B. die Aufnahmen von Nah- und Fernfeldern. Durch die Analyse des Modenrauschens war es möglich, die Abhängigkeit der Interferenzmuster als Funktion des Eingangswinkels zu vergleichen. Mittels der spektralen Leistungsdichte konnten die räumlichen Frequenzen der Interferenzmuster untersucht und eine gute Übereinstimmung zwischen Theorie und Experiment bestätigt werden. Messungen mit induzierter Durchmischung wurden mit Simulationen veglichen, die den inkohärenten Ausbreitungsfall benutzen. Die Vergrößerung des Nahfeldes auf Grund schnellerer Blendenzahlen wurde in Messungen und Simulationen beobachtet und nachgewiesen. Durch die Simulationen ist es gelungen, inkohärente Intensitätsuktuationen zu erklären. Mittels der Voigt Analyse der Fernfelder war es möglich, die modale Diffusionskomponente zwischen Messungen und Simulationen zu vergleichen. Durch eine geeignete Auswertung konnten die Diffusionskomponenten als Funktion des Eingangswinkels ermittelt werden und die Winkeldivergenz der Fernfelder berechnet werden. Das Minimum der Winkeldivergenz eines Systems konnte durch Simulationen berechnet werden. Als Leistungszahl wurde die Mittelung der Differenz zwischen der minimalen und der gemessenen Winkeldivergenz ermittelt. Obwohl die Simulationen durch einige Faktoren begrenzt sind, ist es gelungen, die Ergebnisse der Lichtkegel Messungen zu emulieren. Auf Grund der insgesamt guten Übereinstimmung zwischen Simulationen und Messungen ist es damit möglich, die Charakterisierung von fasergekoppelten Spektrographen im Vorfeld realistisch zu simulieren. Diese Arbeit wurde ermöglicht durch die BMBF-Förderung 05A14BA1 als Teil der Phase-A-Studie des Fasersystems für MOSAIC, einem Multi-Objekt-Spektrographen für das Extremly Large Telescope (ELTMOS) der europäischen Südsternwarte ESO. KW - Astronomical instrumentation KW - Fibre-fed spectroscopy KW - Multi-object spectroscopy KW - Multimode fibres KW - Modal expansion method Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-472363 ER - TY - GEN A1 - Granado, Felipe Le Vot A1 - Abad, Enrique A1 - Metzler, Ralf A1 - Yuste, Santos B. T1 - Continuous time random walk in a velocity field BT - role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - We consider the emerging dynamics of a separable continuous time random walk (CTRW) in the case when the random walker is biased by a velocity field in a uniformly growing domain. Concrete examples for such domains include growing biological cells or lipid vesicles, biofilms and tissues, but also macroscopic systems such as expanding aquifers during rainy periods, or the expanding Universe. The CTRW in this study can be subdiffusive, normal diffusive or superdiffusive, including the particular case of a Lévy flight. We first consider the case when the velocity field is absent. In the subdiffusive case, we reveal an interesting time dependence of the kurtosis of the particle probability density function. In particular, for a suitable parameter choice, we find that the propagator, which is fat tailed at short times, may cross over to a Gaussian-like propagator. We subsequently incorporate the effect of the velocity field and derive a bi-fractional diffusion-advection equation encoding the time evolution of the particle distribution. We apply this equation to study the mixing kinetics of two diffusing pulses, whose peaks move towards each other under the action of velocity fields acting in opposite directions. This deterministic motion of the peaks, together with the diffusive spreading of each pulse, tends to increase particle mixing, thereby counteracting the peak separation induced by the domain growth. As a result of this competition, different regimes of mixing arise. In the case of Lévy flights, apart from the non-mixing regime, one has two different mixing regimes in the long-time limit, depending on the exact parameter choice: in one of these regimes, mixing is mainly driven by diffusive spreading, while in the other mixing is controlled by the velocity fields acting on each pulse. Possible implications for encounter–controlled reactions in real systems are discussed. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1005 KW - diffusion KW - expanding medium KW - continuous time random walk Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-479997 SN - 1866-8372 IS - 1005 SP - 28 ER - TY - JOUR A1 - Kosztolowicz, Tadeusz A1 - Metzler, Ralf A1 - Wąsik, Slawomir A1 - Arabski, Michal T1 - Modelling experimentally measured of ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium JF - PLoS ONE N2 - We study the experimentally measured ciprofloxacin antibiotic diffusion through a gel-like artificial sputum medium (ASM) mimicking physiological conditions typical for a cystic fibrosis layer, in which regions occupied by Pseudomonas aeruginosa bacteria are present. To quantify the antibiotic diffusion dynamics we employ a phenomenological model using a subdiffusion-absorption equation with a fractional time derivative. This effective equation describes molecular diffusion in a medium structured akin Thompson’s plumpudding model; here the ‘pudding’ background represents the ASM and the ‘plums’ represent the bacterial biofilm. The pudding is a subdiffusion barrier for antibiotic molecules that can affect bacteria found in plums. For the experimental study we use an interferometric method to determine the time evolution of the amount of antibiotic that has diffused through the biofilm. The theoretical model shows that this function is qualitatively different depending on whether or not absorption of the antibiotic in the biofilm occurs. We show that the process can be divided into three successive stages: (1) only antibiotic subdiffusion with constant biofilm parameters, (2) subdiffusion and absorption of antibiotic molecules with variable biofilm transport parameters, (3) subdiffusion and absorption in the medium but the biofilm parameters are constant again. Stage 2 is interpreted as the appearance of an intensive defence build–up of bacteria against the action of the antibiotic, and in the stage 3 it is likely that the bacteria have been inactivated. Times at which stages change are determined from the experimentally obtained temporal evolution of the amount of antibiotic that has diffused through the ASM with bacteria. Our analysis shows good agreement between experimental and theoretical results and is consistent with the biologically expected biofilm response. We show that an experimental method to study the temporal evolution of the amount of a substance that has diffused through a biofilm is useful in studying the processes occurring in a biofilm. We also show that the complicated biological process of antibiotic diffusion in a biofilm can be described by a fractional subdiffusion-absorption equation with subdiffusion and absorption parameters that change over time. KW - Bacterial biofilms KW - Antibiotics KW - Biofilms KW - Cystic fibrosis KW - Absorption KW - Pseudomonas aeruginosa KW - Sputum KW - Biological defense mechanisms Y1 - 2020 U6 - https://doi.org/10.1371/journal.pone.0243003 SN - 1932-6203 VL - 15 PB - PLOS CY - San Francisco, California, US ER - TY - JOUR A1 - Granado, Felipe Le Vot A1 - Abad, Enrique A1 - Metzler, Ralf A1 - Yuste, Santos B. T1 - Continuous time random walk in a velocity field BT - role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing JF - New Journal of Physics N2 - We consider the emerging dynamics of a separable continuous time random walk (CTRW) in the case when the random walker is biased by a velocity field in a uniformly growing domain. Concrete examples for such domains include growing biological cells or lipid vesicles, biofilms and tissues, but also macroscopic systems such as expanding aquifers during rainy periods, or the expanding Universe. The CTRW in this study can be subdiffusive, normal diffusive or superdiffusive, including the particular case of a Lévy flight. We first consider the case when the velocity field is absent. In the subdiffusive case, we reveal an interesting time dependence of the kurtosis of the particle probability density function. In particular, for a suitable parameter choice, we find that the propagator, which is fat tailed at short times, may cross over to a Gaussian-like propagator. We subsequently incorporate the effect of the velocity field and derive a bi-fractional diffusion-advection equation encoding the time evolution of the particle distribution. We apply this equation to study the mixing kinetics of two diffusing pulses, whose peaks move towards each other under the action of velocity fields acting in opposite directions. This deterministic motion of the peaks, together with the diffusive spreading of each pulse, tends to increase particle mixing, thereby counteracting the peak separation induced by the domain growth. As a result of this competition, different regimes of mixing arise. In the case of Lévy flights, apart from the non-mixing regime, one has two different mixing regimes in the long-time limit, depending on the exact parameter choice: in one of these regimes, mixing is mainly driven by diffusive spreading, while in the other mixing is controlled by the velocity fields acting on each pulse. Possible implications for encounter–controlled reactions in real systems are discussed. KW - diffusion KW - expanding medium KW - continuous time random walk Y1 - 2020 U6 - https://doi.org/10.1088/1367-2630/ab9ae2 SN - 1367-2630 VL - 22 PB - Dt. Physikalische Ges. CY - Bad Honnef ER - TY - BOOK A1 - Brehmer, Ludwig T1 - 70-jähriges-Jubiläum der Gründung der Hochschul-Biologie und des Botanischen Gartens der Pädagogischen Hochschule Potsdam BT - eine administrative und wissenschafts-politische Retrospektive und Würdigung der Gründer T3 - Die Hochschulstadt in Sanssouci ; Band 8 Y1 - 2020 SN - 978-3-9821787-3-8 PB - Eigenverlag des Verfassers Brehmer CY - Schwielowsee ER - TY - JOUR A1 - Beta, Carsten A1 - Gov, Nir S. A1 - Yochelis, Arik T1 - Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves JF - Cells N2 - During the last decade, intracellular actin waves have attracted much attention due to their essential role in various cellular functions, ranging from motility to cytokinesis. Experimental methods have advanced significantly and can capture the dynamics of actin waves over a large range of spatio-temporal scales. However, the corresponding coarse-grained theory mostly avoids the full complexity of this multi-scale phenomenon. In this perspective, we focus on a minimal continuum model of activator–inhibitor type and highlight the qualitative role of mass conservation, which is typically overlooked. Specifically, our interest is to connect between the mathematical mechanisms of pattern formation in the presence of a large-scale mode, due to mass conservation, and distinct behaviors of actin waves. KW - nonlinear waves KW - actin polymerization KW - bifurcation theory KW - mass conservation KW - spatial localization KW - pattern formation KW - activator–inhibitor models Y1 - 2020 U6 - https://doi.org/10.3390/cells9061533 SN - 2073-4409 VL - 9 IS - 6 PB - MDPI CY - Basel ER - TY - JOUR A1 - Großmann, Robert A1 - Aranson, Igor S. A1 - Peruani, Fernando T1 - A particle-field approach bridges phase separation and collective motion in active matter JF - Nature Communications N2 - Whereas self-propelled hard discs undergo motility-induced phase separation, self-propelled rods exhibit a variety of nonequilibrium phenomena, including clustering, collective motion, and spatio-temporal chaos. In this work, we present a theoretical framework representing active particles by continuum fields. This concept combines the simplicity of alignment-based models, enabling analytical studies, and realistic models that incorporate the shape of self-propelled objects explicitly. By varying particle shape from circular to ellipsoidal, we show how nonequilibrium stresses acting among self-propelled rods destabilize motility-induced phase separation and facilitate orientational ordering, thereby connecting the realms of scalar and vectorial active matter. Though the interaction potential is strictly apolar, both, polar and nematic order may emerge and even coexist. Accordingly, the symmetry of ordered states is a dynamical property in active matter. The presented framework may represent various systems including bacterial colonies, cytoskeletal extracts, or shaken granular media. Interacting self-propelled particles exhibit phase separation or collective motion depending on particle shape. A unified theory connecting these paradigms represents a major challenge in active matter, which the authors address here by modeling active particles as continuum fields. Y1 - 2020 U6 - https://doi.org/10.1038/s41467-020-18978-5 SN - 2041-1723 VL - 11 IS - 1 PB - Nature Publishing Group CY - London ER - TY - JOUR A1 - Fernandez, Amanda Diez A1 - Charchar, Patrick A1 - Cherstvy, Andrey G. A1 - Metzler, Ralf A1 - Finnis, Michael W. T1 - The diffusion of doxorubicin drug molecules in silica nanoslits is non-Gaussian, intermittent and anticorrelated JF - Physical chemistry, chemical physics N2 - In this study we investigate, using all-atom molecular-dynamics computer simulations, the in-plane diffusion of a doxorubicin drug molecule in a thin film of water confined between two silica surfaces. We find that the molecule diffuses along the channel in the manner of a Gaussian diffusion process, but with parameters that vary according to its varying transversal position. Our analysis identifies that four Gaussians, each describing particle motion in a given transversal region, are needed to adequately describe the data. Each of these processes by itself evolves with time at a rate slower than that associated with classical Brownian motion due to a predominance of anticorrelated displacements. Long adsorption events lead to ageing, a property observed when the diffusion is intermittently hindered for periods of time with an average duration which is theoretically infinite. This study presents a simple system in which many interesting features of anomalous diffusion can be explored. It exposes the complexity of diffusion in nanoconfinement and highlights the need to develop new understanding. Y1 - 2020 U6 - https://doi.org/10.1039/d0cp03849k SN - 1463-9076 SN - 1463-9084 VL - 22 IS - 48 SP - 27955 EP - 27965 PB - Royal Society of Chemistry CY - Cambridge ER - TY - JOUR A1 - Omelʹchenko, Oleh E. T1 - Nonstationary coherence-incoherence patterns in nonlocally coupled heterogeneous phase oscillators JF - Chaos : an interdisciplinary journal of nonlinear science N2 - We consider a large ring of nonlocally coupled phase oscillators and show that apart from stationary chimera states, this system also supports nonstationary coherence-incoherence patterns (CIPs). For identical oscillators, these CIPs behave as breathing chimera states and are found in a relatively small parameter region only. It turns out that the stability region of these states enlarges dramatically if a certain amount of spatially uniform heterogeneity (e.g., Lorentzian distribution of natural frequencies) is introduced in the system. In this case, nonstationary CIPs can be studied as stable quasiperiodic solutions of a corresponding mean-field equation, formally describing the infinite system limit. Carrying out direct numerical simulations of the mean-field equation, we find different types of nonstationary CIPs with pulsing and/or alternating chimera-like behavior. Moreover, we reveal a complex bifurcation scenario underlying the transformation of these CIPs into each other. These theoretical predictions are confirmed by numerical simulations of the original coupled oscillator system. KW - chimera states KW - synchronization KW - networks KW - Kuramoto KW - populations KW - dynamics KW - bumps KW - model Y1 - 2020 U6 - https://doi.org/10.1063/1.5145259 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 4 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Singh, Rishu Kumar A1 - Metzler, Ralf A1 - Sandev, Trifce T1 - Resetting dynamics in a confining potential JF - Journal of physics : A, Mathematical and theoretical N2 - We study Brownian motion in a confining potential under a constant-rate resetting to a reset position x(0). The relaxation of this system to the steady-state exhibits a dynamic phase transition, and is achieved in a light cone region which grows linearly with time. When an absorbing boundary is introduced, effecting a symmetry breaking of the system, we find that resetting aids the barrier escape only when the particle starts on the same side as the barrier with respect to the origin. We find that the optimal resetting rate exhibits a continuous phase transition with critical exponent of unity. Exact expressions are derived for the mean escape time, the second moment, and the coefficient of variation (CV). KW - diffusion KW - resetting KW - barrier escape KW - first-passage Y1 - 2020 U6 - https://doi.org/10.1088/1751-8121/abc83a SN - 1751-8113 SN - 1751-8121 VL - 53 IS - 50 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Wang, Wei A1 - Cherstvy, Andrey G. A1 - Chechkin, Aleksei V. A1 - Thapa, Samudrajit A1 - Seno, Flavio A1 - Liu, Xianbin A1 - Metzler, Ralf T1 - Fractional Brownian motion with random diffusivity BT - emerging residual nonergodicity below the correlation time JF - Journal of physics : A, Mathematical and theoretical N2 - Numerous examples for a priori unexpected non-Gaussian behaviour for normal and anomalous diffusion have recently been reported in single-particle tracking experiments. Here, we address the case of non-Gaussian anomalous diffusion in terms of a random-diffusivity mechanism in the presence of power-law correlated fractional Gaussian noise. We study the ergodic properties of this model via examining the ensemble- and time-averaged mean-squared displacements as well as the ergodicity breaking parameter EB quantifying the trajectory-to-trajectory fluctuations of the latter. For long measurement times, interesting crossover behaviour is found as function of the correlation time tau characterising the diffusivity dynamics. We unveil that at short lag times the EB parameter reaches a universal plateau. The corresponding residual value of EB is shown to depend only on tau and the trajectory length. The EB parameter at long lag times, however, follows the same power-law scaling as for fractional Brownian motion. We also determine a corresponding plateau at short lag times for the discrete representation of fractional Brownian motion, absent in the continuous-time formulation. These analytical predictions are in excellent agreement with results of computer simulations of the underlying stochastic processes. Our findings can help distinguishing and categorising certain nonergodic and non-Gaussian features of particle displacements, as observed in recent single-particle tracking experiments. KW - stochastic processes KW - anomalous diffusion KW - fractional Brownian motion KW - diffusing diffusivity KW - weak ergodicity breaking Y1 - 2020 U6 - https://doi.org/10.1088/1751-8121/aba467 SN - 1751-8113 SN - 1751-8121 VL - 53 IS - 47 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Kurilovich, Aleksandr A. A1 - Mantsevich, Vladimir A1 - Stevenson, Keith J. A1 - Chechkin, Aleksei V. A1 - Palyulin, V. V. T1 - Complex diffusion-based kinetics of photoluminescence in semiconductor nanoplatelets JF - Physical chemistry, chemical physics : a journal of European Chemical Societies N2 - We present a diffusion-based simulation and theoretical models for explanation of the photoluminescence (PL) emission intensity in semiconductor nanoplatelets. It is shown that the shape of the PL intensity curves can be reproduced by the interplay of recombination, diffusion and trapping of excitons. The emission intensity at short times is purely exponential and is defined by recombination. At long times, it is governed by the release of excitons from surface traps and is characterized by a power-law tail. We show that the crossover from one limit to another is controlled by diffusion properties. This intermediate region exhibits a rich behaviour depending on the value of diffusivity. The proposed approach reproduces all the features of experimental curves measured for different nanoplatelet systems. Y1 - 2020 U6 - https://doi.org/10.1039/d0cp03744c SN - 1463-9076 SN - 1463-9084 VL - 22 IS - 42 SP - 24686 EP - 24696 PB - Royal Society of Chemistry CY - Cambridge ER - TY - JOUR A1 - Steppa, Constantin A1 - Egberts, Kathrin T1 - Modelling the Galactic very-high-energy gamma-ray source population JF - Astronomy and astrophysics : an international weekly journal N2 - Context. The High Energy Stereoscopic System Galactic plane survey (HGPS) is to date the most comprehensive census of Galactic gamma -ray sources at very high energies (VHE; 100 GeV <= E <= 100 TeV). As a consequence of the limited sensitivity of this survey, the 78 detected gamma -ray sources comprise only a small and biased subsample of the overall population. The larger part consists of currently unresolved sources, which contribute to large-scale diffuse emission to a still uncertain amount.Aims. We study the VHE gamma -ray source population in the Milky Way. For this purpose population-synthesis models are derived based on the distributions of source positions, extents, and luminosities.Methods. Several azimuth-symmetric and spiral-arm models are compared for spatial source distribution. The luminosity and radius function of the population are derived from the source properties of the HGPS data set and are corrected for the sensitivity bias of the HGPS. Based on these models, VHE source populations are simulated and the subsets of sources detectable according to the HGPS are compared with HGPS sources.Results. The power-law indices of luminosity and radius functions are determined to range between -1.6 and -1.9 for luminosity and -1.1 and -1.6 for radius. A two-arm spiral structure with central bar is discarded as spatial distribution of VHE sources, while azimuth-symmetric distributions and a distribution following a four-arm spiral structure without bar describe the HGPS data reasonably well. The total number of Galactic VHE sources is predicted to be in the range from 800 to 7000 with a total luminosity and flux of (1.6-6.3) x 10(36) ph s(-1) and (3-15) x 10(-10) ph cm(-2) s(-1), respectively.Conclusions. Depending on the model, the HGPS sample accounts for (68-87)% of the emission of the population in the scanned region. This suggests that unresolved sources represent a critical component of the diffuse emission measurable in the HGPS. With the foreseen jump in sensitivity of the Cherenkov Telescope Array, the number of detectable sources is predicted to increase by a factor between 5 and 9. KW - astroparticle physics KW - gamma rays: general KW - gamma rays: diffuse KW - background KW - methods: observational KW - methods: numerical Y1 - 2020 U6 - https://doi.org/10.1051/0004-6361/202038172 SN - 0004-6361 SN - 1432-0746 VL - 643 PB - EDP Sciences CY - Les Ulis ER - TY - JOUR A1 - Mardoukhi, Ahmad A1 - Mardoukhi, Yousof A1 - Hokka, Mikko A1 - Kuokkala, Veli-Tapani T1 - Effects of test temperature and low temperature thermal cycling on the dynamic tensile strength of granitic rocks JF - Rock mechanics and rock engineering N2 - This paper presents an experimental procedure for the characterization of the granitic rocks on a Mars-like environment. To gain a better understanding of the drilling conditions on Mars, the dynamic tensile behavior of the two granitic rocks was studied using the Brazilian disc test and a Split Hopkinson Pressure Bar. The room temperature tests were performed on the specimens, which had gone through thermal cycling between room temperature and - 70 degrees C for 0, 10, 15, and 20 cycles. In addition, the high strain rate Brazilian disc tests were carried out on the samples without the thermal cyclic loading at test temperatures of - 30 degrees C, - 50 degrees C, and - 70 degrees C. Microscopy results show that the rocks with different microstructures respond differently to cyclic thermal loading. However, decreasing the test temperature leads to an increasing in the tensile strength of both studied rocks, and the softening of the rocks is observed for both rocks as the temperature reaches - 70 degrees C. This paper presents a quantitative assessment of the effects of the thermal cyclic loading and temperature on the mechanical behavior of studied rocks in the Mars-like environment. The results of this work will bring new insight into the mechanical response of rock material in extreme environments. KW - granite KW - dynamic loading KW - high strain rate KW - fractal dimension KW - low KW - temperature KW - split Hopkinson pressure bar Y1 - 2020 U6 - https://doi.org/10.1007/s00603-020-02253-6 SN - 0723-2632 SN - 1434-453X VL - 54 IS - 1 SP - 443 EP - 454 PB - Springer CY - Wien ER - TY - JOUR A1 - Wang, Wei A1 - Cherstvy, Andrey G. A1 - Liu, Xianbin A1 - Metzler, Ralf T1 - Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form D(x) = D-0|x|(alpha). Such processes yield anomalous diffusion and weak ergodicity breaking, the asymptotic disparity between ensemble and time averaged observables, such as the mean-squared displacement. Fractional Brownian motion (FBM) with its long-range correlated yet Gaussian increments gives rise to anomalous and ergodic diffusion. Here, we study a combined model of HDPs and FBM to describe the particle dynamics in complex systems with position-dependent diffusivity driven by fractional Gaussian noise. This type of motion is, inter alia, relevant for tracer-particle diffusion in biological cells or heterogeneous complex fluids. We show that the long-time scaling behavior predicted theoretically and by simulations for the ensemble-and time-averaged mean-squared displacements couple the scaling exponents alpha of HDPs and the Hurst exponent H of FBM in a characteristic way. Our analysis of the simulated data in terms of the rescaled variable y similar to |x|(1/(2/(2-alpha)))/t(H) coupling particle position x and time t yields a simple, Gaussian probability density function (PDF), PHDP-FBM(y) = e(-y2)/root pi. Its universal shape agrees well with theoretical predictions for both uni- and bimodal PDF distributions. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.102.012146 SN - 2470-0045 SN - 2470-0053 SN - 1063-651X SN - 1539-3755 SN - 2470-0061 VL - 102 IS - 1 SP - 012146-1 EP - 012146-16 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Kontro, Inkeri A1 - Buschhüter, David T1 - Validity of Colorado Learning Attitudes about Science Survey for a high-achieving, Finnish population JF - Physical review. Physics education research N2 - The Colorado Learning Attitudes about Science Survey (CLASS) is an instrument which is widely used in physics education to characterize students' attitudes toward physics and learning physics and compare them with those of experts. While CLASS has been extensively validated for use in the context of higher education institutions in the United States, there has been less information about its use with European students. We have studied the structural, content, and substantive aspects of validity of CLASS by first doing a confirmatory factor analysis of N = 642 sets of student answers from the University of Helsinki, Finland. The students represented a culturally and demographically different subset of university physics students than in previous studies. The confirmatory factor analysis used a 3-factor, 15-item factor structure as a starting point and the resulting factor structure was similar to the original. Just minor modifications were needed for fit parameters to be in the acceptable range. We explored the differences by student interviews and consultation of experts. With the exception of one item, they supported the new 14-item, 3-factor structure. The results show that the interpretations made from CLASS results are mostly transferable, and CLASS remains a useful instrument for a wide variety of populations. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevPhysEducRes.16.020104 SN - 2469-9896 VL - 16 IS - 2 PB - American Physical Society CY - College Park, MD ER - TY - JOUR A1 - Pikovsky, Arkady T1 - Scaling of energy spreading in a disordered Ding-Dong lattice JF - Journal of statistical mechanics: theory and experiment N2 - We study numerical propagation of energy in a one-dimensional Ding-Dong lattice composed of linear oscillators with elastic collisions. Wave propagation is suppressed by breaking translational symmetry, and we consider three ways to do this: position disorder, mass disorder, and a dimer lattice with alternating distances between the units. In all cases the spreading of an initially localized wavepacket is irregular, due to the appearance of chaos, and subdiffusive. For a range of energies and of weak and moderate levels of disorder, we focus on the macroscopic statistical characterization of spreading. Guided by a nonlinear diffusion equation, we establish that the mean waiting times of spreading obey a scaling law in dependence of energy. Moreover, we show that the spreading exponents very weakly depend on the level of disorder. KW - connections between chaos and statistical physics KW - nonlinear dynamics KW - transport properties Y1 - 2020 U6 - https://doi.org/10.1088/1742-5468/ab7e30 SN - 1742-5468 VL - 2020 IS - 5 PB - IOP Publishing Ltd. CY - Bristol ER - TY - JOUR A1 - Krylov, Dmitrii A1 - Dylov, Dmitry V. A1 - Rosenblum, Michael T1 - Reinforcement learning for suppression of collective activity in oscillatory ensembles JF - Chaos : an interdisciplinary journal of nonlinear science N2 - We present the use of modern machine learning approaches to suppress self-sustained collective oscillations typically signaled by ensembles of degenerative neurons in the brain. The proposed hybrid model relies on two major components: an environment of oscillators and a policy-based reinforcement learning block. We report a model-agnostic synchrony control based on proximal policy optimization and two artificial neural networks in an Actor-Critic configuration. A class of physically meaningful reward functions enabling the suppression of collective oscillatory mode is proposed. The synchrony suppression is demonstrated for two models of neuronal populations-for the ensembles of globally coupled limit-cycle Bonhoeffer-van der Pol oscillators and for the bursting Hindmarsh-Rose neurons using rectangular and charge-balanced stimuli. Y1 - 2020 U6 - https://doi.org/10.1063/1.5128909 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 3 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Tönjes, Ralf A1 - Pikovsky, Arkady T1 - Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - We study ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate that if the oscillators are forced in several harmonics, stationary synchronous regimes can be exactly described with a finite number of complex order parameters. The corresponding distribution of phases is a product of wrapped Cauchy distributions. For sinusoidal forcing, the Ott-Antonsen low-dimensional reduction is recovered. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.102.052315 SN - 2470-0045 SN - 2470-0053 VL - 102 IS - 5 PB - American Physical Society CY - College Park ER - TY - THES A1 - Landau, Livnat T1 - Mechanical stimulation of in-vitro tissue growth using magnetic beads N2 - Cells and tissues are sensitive to mechanical forces applied to them. In particular, bone forming cells and connective tissues, composed of cells embedded in fibrous extracellular matrix (ECM), are continuously remodeled in response to the loads they bear. The mechanoresponses of cells embedded in tissue include proliferation, differentiation, apoptosis, internal signaling between cells, and formation and resorption of tissue. Experimental in-vitro systems of various designs have demonstrated that forces affect tissue growth, maturation and mineralization. However, the results depended on different parameters such as the type and magnitude of the force applied in each study. Some experiments demonstrated that applied forces increase cell proliferation and inhibit cell maturation rate, while other studies found the opposite effect. When the effect of different magnitudes of forces was compared, some studies showed that higher forces resulted in a cell proliferation increase or differentiation decrease, while other studies observed the opposite trend or no trend at all. In this study, MC3T3-E1 cells, a cell line of pre-osteoblasts (bone forming cells), was used. In this cell line, cell differentiation is known to accelerate after cells stop proliferating, typically at confluency. This makes this cell line an interesting subject for studying the influence of forces on the switch between the proliferation stage of the precursor cell and the differentiation to the mature osteoblasts. A new experimental system was designed to perform systematic investigations of the influence of the type and magnitude of forces on tissue growth. A single well plate contained an array of 80 rectangular pores. Each pore was seeded with MC3T3-E1 cells. The culture medium contained magnetic beads (MBs) of 4.5 μm in diameter that were incorporated into the pre-osteoblast cells. Using an N52 neodymium magnet, forces ranging over three orders of magnitude were applied to MBs incorporated in cells at 10 different distances from the magnet. The amount of formed tissue was assessed after 24 days of culture. The experimental design allowed to obtain data concerning (i) the influence of the type of the force (static, oscillating, no force) on tissue growth; (ii) the influence of the magnitude of force (pN-nN range); (iii) the effect of functionalizing the magnetic beads with the tripeptide Arg-Gly-Asp (RGD). To learn about cell differentiation state, in the final state of the tissue growth experiments, an analysis for the expression of alkaline phosphatase (ALP), a well - known marker of osteoblast differentiation, was performed. The experiments showed that the application of static magnetic forces increased tissue growth compared to control, while oscillating forces resulted in tissue growth reduction. A statistically significant positive correlation was found between the amount of tissue grown and the magnitude of the oscillating magnetic force. A positive but non-significant correlation of the amount of tissue with the magnitude of forces was obtained when static forces were applied. Functionalizing the MBs with RGD peptides and applying oscillating forces resulted in an increase of tissue growth relative to tissues incubated with “plain” epoxy MBs. ALP expression decreased as a function of the magnitude of force both when static and oscillating forces were applied. ALP stain intensity was reduced relative to control when oscillating forces were applied and was not significantly different than control for static forces. The suggested interpretation of the experimental findings is that larger mechanical forces delay cell maturation and keep the pre-osteoblasts in a more proliferative stage characterized by more tissue formed and lower expression of ALP. While the influence of the force magnitude can be well explained by an effect of the force on the switch between proliferation and differentiation, the influence of force type (static or oscillating) is less clear. In particular, it is challenging to reconcile the reduction of tissue formed under oscillating forces as compared to controls with the simultaneous reduction of ALP expression. To better understand this, it may be necessary to refine the staining protocol of the scaffolds and to include the amount and structure of ECM as well as other factors that were not monitored in the experiment and which may influence tissue growth and maturation. The developed experimental system proved well suited for a systematic and efficient study of the mechanoresponsiveness of tissue growth, it allowed a study of the dependence of tissue growth on force magnitude ranging over three orders of magnitude, and a comparison between the effect of static and oscillating forces. Future experiments can explore the multiple parameters that affect tissue growth as a function of the magnitude of the force: by applying different time-dependent forces; by extending the force range studied; or by using different cell lines and manipulating the mechanotransduction in the cells biochemically. KW - mechanobiology KW - magnetism KW - biophysics KW - tissue growth KW - magnetic beads Y1 - 2020 ER - TY - THES A1 - Seiler, Michael T1 - The Non-Keplerian Motion of Propeller Moons in the Saturnian Ring System N2 - One of the tremendous discoveries by the Cassini spacecraft has been the detection of propeller structures in Saturn's A ring. Although the generating moonlet is too small to be resolved by the cameras aboard Cassini, its produced density structure within the rings, caused by its gravity can be well observed. The largest observed propeller is called Blériot and has an azimuthal extent over several thousand kilometers. Thanks to its large size, Blériot could be identified in different images over a time span of over 10 years, allowing the reconstruction of its orbital evolution. It turns out that Blériot deviates considerably from its expected Keplerian orbit in azimuthal direction by several thousand kilometers. This excess motion can be well reconstructed by a superposition of three harmonics, and therefore resembles the typical fingerprint of a resonantly perturbed body. This PhD thesis is directed to the excess motion of Blériot. Resonant perturbations are a known for some of the outer satellites of Saturn. Thus, in the first part of this thesis, we seek for suiting resonance candidates nearby the propeller, which might explain the observed periods and amplitudes. In numeric simulations, we show that indeed resonances by Prometheus, Pandora and Mimas can explain the libration periods in good agreement, but not the amplitudes. The amplitude problem is solved by the introduction of a propeller-moonlet interaction model, where we assume a broken symmetry of the propeller by a small displacement of the moonlet. This results in a librating motion the moonlet around the propeller's symmetry center due to the non-vanishing accelerations. The retardation of the reaction of the propeller structure to the motion of the moonlet causes the propeller to become asymmetric. Hydrodynamic simulations to test our analytical model confirm our predictions. In the second part of this thesis, we consider a stochastic migration of the moonlet, which is an alternative hypothesis to explain the observed excess motion of Blériot. The mean-longitude is a time-integrated quantity and thus introduces a correlation between the independent kicks of a random walk, smoothing the noise and thus makes the residual look similar to the observed one for Blériot. We apply a diagonalization test to decorrelated the observed residuals for the propellers Blériot and Earhart and the ring-moon Daphnis. It turns out that the decorrelated distributions do not strictly follow the expected Gaussian distribution. The decorrelation method fails to distinguish a correlated random walk from a noisy libration and thus we provide an alternative study. Assuming the three-harmonic fit to be a valid representation of the excess motion for Blériot, independently from its origin, we test the likelihood that this excess motion can be created by a random walk. It turns out that a non-correlated and correlated random walk is unlikely to explain the observed excess motion. KW - Saturn KW - Rings KW - Resonances KW - Moonlets KW - Propellers KW - Migration Y1 - 2020 ER - TY - JOUR A1 - Awad, Emad A1 - Metzler, Ralf T1 - Crossover dynamics from superdiffusion to subdiffusion BT - models and solutions JF - Fractional calculus and applied analysis : an international journal for theory and applications N2 - The Cattaneo or telegrapher's equation describes the crossover from initial ballistic to normal diffusion. Here we study and survey time-fractional generalisations of this equation that are shown to produce the crossover of the mean squared displacement from superdiffusion to subdiffusion. Conditional solutions are derived in terms of Fox H-functions and the dth-order moments as well as the diffusive flux of the different models are derived. Moreover, the concept of the distribution-like is proposed as an alternative to the probability density function. KW - Cattaneo equation KW - telegrapher's equation KW - crossover dynamics KW - fractional dynamic equations KW - anomalous diffusion KW - superdiffusion and KW - subdiffusion KW - Fox H-functions Y1 - 2020 U6 - https://doi.org/10.1515/fca-2020-0003 SN - 1311-0454 SN - 1314-2224 VL - 23 IS - 1 SP - 55 EP - 102 PB - De Gruyter CY - Berlin ; Boston ER - TY - JOUR A1 - Gómez-Nava, Luis A1 - Grossmann, Robert A1 - Hintsche, Marius A1 - Beta, Carsten A1 - Peruani, Fernando T1 - A novel approach to chemotaxis BT - active particles guided by internal clocks JF - epl : a letters journal exploring the frontiers of physics N2 - Motivated by the observation of non-exponential run-time distributions of bacterial swimmers, we propose a minimal phenomenological model for taxis of active particles whose motion is controlled by an internal clock. The ticking of the clock depends on an external concentration field, e.g., a chemical substance. We demonstrate that these particles can detect concentration gradients and respond to them by moving up- or down-gradient depending on the clock design, albeit measurements of these fields are purely local in space and instantaneous in time. Altogether, our results open a new route in the study of directional navigation: we show that the use of a clock to control motility actions represents a generic and versatile toolbox to engineer behavioral responses to external cues, such as light, chemical, or temperature gradients. Y1 - 2020 U6 - https://doi.org/10.1209/0295-5075/130/68002 SN - 0295-5075 SN - 1286-4854 VL - 130 IS - 6 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Gong, Chen Chris A1 - Tönjes, Ralf A1 - Pikovsky, Arkady T1 - Coupled Möbius maps as a tool to model Kuramoto phase synchronization JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - We propose Mobius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of nonidentical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.102.022206 SN - 2470-0045 SN - 2470-0053 SN - 1063-651X SN - 2470-0061 SN - 1550-2376 VL - 102 IS - 2 PB - American Physical Society CY - College Park ER - TY - THES A1 - Köhler, Raphael T1 - Towards seasonal prediction: stratosphere-troposphere coupling in the atmospheric model ICON-NWP N2 - Stratospheric variability is one of the main potential sources for sub-seasonal to seasonal predictability in mid-latitudes in winter. Stratospheric pathways play an important role for long-range teleconnections between tropical phenomena, such as the quasi-biennial oscillation (QBO) and El Niño-Southern Oscillation (ENSO), and the mid-latitudes on the one hand, and linkages between Arctic climate change and the mid-latitudes on the other hand. In order to move forward in the field of extratropical seasonal predictions, it is essential that an atmospheric model is able to realistically simulate the stratospheric circulation and variability. The numerical weather prediction (NWP) configuration of the ICOsahedral Non-hydrostatic atmosphere model ICON is currently being used by the German Meteorological Service for the regular weather forecast, and is intended to produce seasonal predictions in future. This thesis represents the first extensive evaluation of Northern Hemisphere stratospheric winter circulation in ICON-NWP by analysing a large set of seasonal ensemble experiments. An ICON control climatology simulated with a default setup is able to reproduce the basic behaviour of the stratospheric polar vortex. However, stratospheric westerlies are significantly too weak and major stratospheric warmings too frequent, especially in January. The weak stratospheric polar vortex in ICON is furthermore connected to a mean sea level pressure (MSLP) bias pattern resembling the negative phase of the Arctic Oscillation (AO). Since a good representation of the drag exerted by gravity waves is crucial for a realistic simulation of the stratosphere, three sensitivity experiments with reduced gravity wave drag are performed. Both a reduction of the non-orographic and orographic gravity wave drag respectively, lead to a strengthening of the stratospheric vortex and thus a bias reduction in winter, in particular in January. However, the effect of the non-orographic gravity wave drag on the stratosphere is stronger. A third experiment, combining a reduced orographic and non-orographic drag, exhibits the largest stratospheric bias reductions. The analysis of stratosphere-troposphere coupling based on an index of the Northern Annular Mode demonstrates that ICON realistically represents downward coupling. This coupling is intensified and more realistic in experiments with a reduced gravity wave drag, in particular with reduced non-orographic drag. Tropospheric circulation is also affected by the reduced gravity wave drag, especially in January, when the strongly improved stratospheric circulation reduces biases in the MSLP patterns. Moreover, a retuning of the subgrid-scale orography parameterisations leads to a significant error reduction in the MSLP in all months. In conclusion, the combination of these adjusted parameterisations is recommended as a current optimal setup for seasonal simulations with ICON. Additionally, this thesis discusses further possible influences on the stratospheric polar vortex, including the influence of tropical phenomena, such as QBO and ENSO, as well as the influence of a rapidly warming Arctic. ICON does not simulate the quasi-oscillatory behaviour of the QBO and favours weak easterlies in the tropical stratosphere. A comparison with a reanalysis composite of the easterly QBO phase reveals, that the shift towards the easterly QBO in ICON further weakens the stratospheric polar vortex. On the other hand, the stratospheric reaction to ENSO events in ICON is realistic. ICON and the reanalysis exhibit a weakened stratospheric vortex in warm ENSO years. Furthermore, in particular in winter, warm ENSO events favour the negative phase of the Arctic Oscillation, whereas cold events favour the positive phase. The ICON simulations also suggest a significant effect of ENSO on the Atlantic-European sector in late winter. To investigate the influence of Arctic climate change on mid-latitude circulation changes, two differing approaches with transient and fixed sea ice conditions are chosen. Neither ICON approach exhibits the mid-latitude tropospheric negative Arctic Oscillation circulation response to amplified Arctic warming, as it is discussed on the basis of observational evidence. Nevertheless, adding a new model to the current and active discussion on Arctic-midlatitude linkages, further contributes to the understanding of divergent conclusions between model and observational studies. N2 - Die stratosphärische Variabilität ist eine der wichtigsten potentiellen Quellen für die Vorhersagbarkeit der atmosphärischen Zirkulation in den mittleren Breiten im Winter auf der Zeitskala von Wochen bis zu Jahreszeiten. Stratosphärische Prozesse spielen eine grundlegende Rolle für die Fernverbindungen (Telekonnektionen) zwischen tropischen Klimaphänomenen, wie der quasi-zweijährigen Schwingung (QBO) oder „El Niño-Südliche Oszillation“ (ENSO), und den mittleren Breiten, sowie den Telekonnektionen zwischen arktischen Klimaänderungen und der atmosphärischen Zirkulation in den mittleren Breiten. Die Fähigkeit eines atmosphärischen Modells, die stratosphärische Zirkulation und deren Variabilität realistisch zu simulieren, ist deshalb von grundlegender Bedeutung, um die Jahreszeitenvorhersage in den mittleren Breiten deutlich zu verbessern. Das nichthydrostatische Atmosphärenmodell ICON (ICOsahedral Non-hydrostatic atmosphere model) wird gegenwärtig beim Deutschen Wetterdienst (DWD) in der numerischen Wettervorhersagekonfiguration (ICON-NWP) für die Wettervorhersage genutzt, und soll zukünftig auch für Jahreszeitenvorhersagen benutzt werden. Darauf basierend, präsentiert die vorliegende Arbeit eine Vielzahl von saisonalen Ensembleexperimenten mit ICON-NWP und liefert damit die erste umfassende Bewertung der stratosphärischen Winterzirkulation der nördlichen Hemisphäre in ICON-NWP. Die Klimatologie eines ICON-Modelllaufs im Standardsetup reproduziert die grundlegenden Eigenschaften des stratosphärischen Polarwirbels. Allerdings sind die stratosphärischen Westwinde deutlich schwächer als in den Beobachtungen, und starke Stratosphärenerwärmungen treten insbesondere im Januar zu häufig auf. Zudem ist der schwache stratosphärische Polarwirbel in ICON mit einem typischen Fehler-Muster des Bodenluftdrucks verknüpft, welches der negativen Phase der Arktischen Oszillation (AO) ähnelt. Da eine gute Darstellung des von Schwerewellen ausgeübten Widerstands für eine realistische Simulation der Stratosphäre entscheidend ist, werden drei Sensitivitätsexperimente mit reduziertem Schwerewellenwiderstand durchgeführt. Sowohl eine Verringerung des nicht-orographischen, als auch eine Verringerung des orographischen Schwerewellenwiderstands führen jeweils zu einer Verstärkung des stratosphärischen Wirbels und damit zu einer Verringerung des Fehlers im Winter, insbesondere im Januar. Die Wirkung des nicht-orographischen Schwerewellenwiderstands auf die Stratosphäre ist hierbei jedoch stärker. Ein drittes Experiment, welches den reduzierten orographischen und nicht-orographischen Widerstand kombiniert, zeigt die größten Verbesserungen in der Stratosphäre. Die auf dem Index des „Northern Annular Mode“ basierende Analyse der Stratosphären-Troposphären-Kopplung zeigt, dass ICON die nach unten gerichtete Kopplung zwischen der Stratosphäre und Troposphäre realistisch darstellt. Diese Kopplung wird in Experimenten mit einem reduzierten Schwerewellenwiderstand verstärkt und realistischer dargestellt, dies gilt insbesondere für den reduzierten nicht-orographischen Widerstand. Auch die troposphärische Zirkulation wird durch den reduzierten Schwerewellenwiderstand beeinflusst, vor allem im Januar, wenn die stark verbesserte stratosphärische Zirkulation den Fehler in den Bodenluftdruckfeldern reduziert. Darüber hinaus führt ein Tuning der Parameterisierung der subgrid-skaligen orographischen Schwerewellen zu einer signifikanten Fehlerreduktion des Bodenluftdrucks in allen Monaten. Die Kombination all dieser angepassten Parametrisierungen wird als derzeit optimales Setup für Jahreszeiten-Simulationen mit ICON vorgeschlagen. Darüber hinaus werden in dieser Arbeit weitere mögliche Einflussfaktoren auf den stratosphärischen Polarwirbel diskutiert, darunter der Einfluss tropischer Phänomene, wie QBO und ENSO, sowie der Einfluss einer sich rasch erwärmenden Arktis. Das quasi-oszillierende Verhalten der QBO wird durch ICON nicht simuliert, sodass schwache Ostwinde in der tropischen Stratosphäre dominieren. Ein Vergleich mit einem Reanalyse-Komposit der östlichen QBO-Phase zeigt, dass die Verschiebung in Richtung der östlichen QBO in ICON den stratosphärischen Polarwirbel weiter abschwächt. Die stratosphärische Reaktion auf ENSO-Ereignisse in ICON ist jedoch realistisch. ICON und Reanalysedaten zeigen einen abgeschwächten Stratosphärenwirbel in warmen ENSO-Jahren. Darüber hinaus begünstigen insbesondere im Winter warme ENSO-Ereignisse die negative Phase der Arktischen Oszillation, während kalte Ereignisse die positive Phase begünstigen. Die ICON-Simulationen deuten auch auf einen signifikanten Effekt von ENSO auf den atlantisch-europäischen Sektor im Spätwinter hin. Um den Einfluss des arktischen Klimawandels auf Änderungen der Zirkulation in mittleren Breiten zu untersuchen, werden zwei unterschiedliche Ansätze mit transienten und festen Meereisgrenzen gewählt. Keiner der beiden ICON-Ansätze zeigt eine Tendenz zur negativen Phase der Arktische Oszillation als Reaktion auf die verstärkte Erwärmung der Arktis, wie sie in der Literatur anhand von Beobachtungsdaten häufig diskutiert wird. Jedoch wird somit der aktuellen und aktiven Diskussion zu den Auswirkungen des arktischen Klimawandels auf die Zirkulation der mittleren Breiten ein neues Modell hinzugefügt. T2 - Im Hinblick auf die Jahreszeitenvorhersage: Stratosphären-Troposphären-Kopplung in dem Atmosphärenmodell ICON-NWP KW - Seasonal prediction KW - Stratosphere-troposphere coupling KW - ICON KW - Stratospheric polar vortex KW - Jahreszeitenvorhersage KW - Stratosphären-Troposphären-Kopplung KW - ICON KW - Stratosphärischer Polarwirbel KW - El Niño-Southern Oscillation (ENSO) KW - El Niño-Südliche Oszillation KW - Arctic-midlatitude linkages KW - Verbindungspfade zwischen der Arktis und den mittleren Breiten Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-487231 ER - TY - GEN A1 - Kosztolowicz, Tadeusz A1 - Metzler, Ralf A1 - Wąsik, Slawomir A1 - Arabski, Michal T1 - Modelling experimentally measured of ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - We study the experimentally measured ciprofloxacin antibiotic diffusion through a gel-like artificial sputum medium (ASM) mimicking physiological conditions typical for a cystic fibrosis layer, in which regions occupied by Pseudomonas aeruginosa bacteria are present. To quantify the antibiotic diffusion dynamics we employ a phenomenological model using a subdiffusion-absorption equation with a fractional time derivative. This effective equation describes molecular diffusion in a medium structured akin Thompson’s plumpudding model; here the ‘pudding’ background represents the ASM and the ‘plums’ represent the bacterial biofilm. The pudding is a subdiffusion barrier for antibiotic molecules that can affect bacteria found in plums. For the experimental study we use an interferometric method to determine the time evolution of the amount of antibiotic that has diffused through the biofilm. The theoretical model shows that this function is qualitatively different depending on whether or not absorption of the antibiotic in the biofilm occurs. We show that the process can be divided into three successive stages: (1) only antibiotic subdiffusion with constant biofilm parameters, (2) subdiffusion and absorption of antibiotic molecules with variable biofilm transport parameters, (3) subdiffusion and absorption in the medium but the biofilm parameters are constant again. Stage 2 is interpreted as the appearance of an intensive defence build–up of bacteria against the action of the antibiotic, and in the stage 3 it is likely that the bacteria have been inactivated. Times at which stages change are determined from the experimentally obtained temporal evolution of the amount of antibiotic that has diffused through the ASM with bacteria. Our analysis shows good agreement between experimental and theoretical results and is consistent with the biologically expected biofilm response. We show that an experimental method to study the temporal evolution of the amount of a substance that has diffused through a biofilm is useful in studying the processes occurring in a biofilm. We also show that the complicated biological process of antibiotic diffusion in a biofilm can be described by a fractional subdiffusion-absorption equation with subdiffusion and absorption parameters that change over time. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1107 KW - Bacterial biofilms KW - Antibiotics KW - Biofilms KW - Cystic fibrosis KW - Pseudomonas aeruginosa KW - Sputum KW - Biological defense mechanisms Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-490866 SN - 1866-8372 IS - 1107 ER - TY - THES A1 - Stete, Felix T1 - Gold at the nanoscale BT - plasmon-exciton coupling and optical heating N2 - In this cumulative dissertation, I want to present my contributions to the field of plasmonic nanoparticle science. Plasmonic nanoparticles are characterised by resonances of the free electron gas around the spectral range of visible light. In recent years, they have evolved as promising components for light based nanocircuits, light harvesting, nanosensors, cancer therapies, and many more. This work exhibits the articles I authored or co-authored in my time as PhD student at the University of Potsdam. The main focus lies on the coupling between localised plasmons and excitons in organic dyes. Plasmon–exciton coupling brings light–matter coupling to the nanoscale. This size reduction is accompanied by strong enhancements of the light field which can, among others, be utilised to enhance the spectroscopic footprint of molecules down to single molecule detection, improve the efficiency of solar cells, or establish lasing on the nanoscale. When the coupling exceeds all decay channels, the system enters the strong coupling regime. In this case, hybrid light–matter modes emerge utilisable as optical switches, in quantum networks, or as thresholdless lasers. The present work investigates plasmon–exciton coupling in gold–dye core–shell geometries and contains both fundamental insights and technical novelties. It presents a technique which reveals the anticrossing in coupled systems without manipulating the particles themselves. The method is used to investigate the relation between coupling strength and particle size. Additionally, the work demonstrates that pure extinction measurements can be insufficient when trying to assess the coupling regime. Moreover, the fundamental quantum electrodynamic effect of vacuum induced saturation is introduced. This effect causes the vacuum fluctuations to diminish the polarisability of molecules and has not yet been considered in the plasmonic context. The work additionally discusses the reaction of gold nanoparticles to optical heating. Such knowledge is of great importance for all potential optical applications utilising plasmonic nanoparticles since optical excitation always generates heat. This heat can induce a change in the optical properties, but also mechanical changes up to melting can occur. Here, the change of spectra in coupled plasmon–exciton particles is discussed and explained with a precise model. Moreover, the work discusses the behaviour of gold nanotriangles exposed to optical heating. In a pump–probe measurement, X-ray probe pulses directly monitored the particles’ breathing modes. In another experiment, the triangles were exposed to cw laser radiation with varying intensities and illumination areas. X-ray diffraction directly measured the particles’ temperature. Particle melting was investigated with surface enhanced Raman spectroscopy and SEM imaging demonstrating that larger illumination areas can cause melting at lower intensities. An elaborate methodological and theoretical introduction precedes the articles. This way, also readers without specialist’s knowledge get a concise and detailed overview of the theory and methods used in the articles. I introduce localised plasmons in metal nanoparticles of different shapes. For this work, the plasmons were mostly coupled to excitons in J-aggregates. Therefore, I discuss these aggregates of organic dyes with sharp and intense resonances and establish an understanding of the coupling between the two systems. For ab initio simulations of the coupled systems, models for the systems’ permittivites are presented, too. Moreover, the route to the sample fabrication – the dye coating of gold nanoparticles, their subsequent deposition on substrates, and the covering with polyelectrolytes – is presented together with the measurement methods that were used for the articles. N2 - In der vorliegenden publikationsbasierten Dissertation möchte ich meinen Beitrag aus meiner Zeit als Doktorand an der Universität Potsdam zum Forschungsgebiet plasmonischer Nanopartikel vorstellen. Letztere zeichnen sich durch Resonanzen des freien Elektronengases im Spektralbereich sichtbaren Lichts aus mit vielversprechenden Anwenungsgebieten, unter anderem in Bereichen der Nanosensorik, lichtbasierter Nanoschaltkreise oder auch der Krebstherapie. Die Arbeit beinhaltet die von mir mitverfassten wissenschaftlichen Artikel, mit dem Hauptaugenmerk auf der Kopplung zwischen lokalisierten Plasmonen in Gold-Nanopartikeln und Exzitonen in organischen Farbstoffen. Plasmonen konzentrieren Lichtfelder auf kleinstem Raum. Dadurch verstärkt sich die Licht–Materie-Wechselwirkung, welche es etwa ermöglicht, die Effizienz von Solarzellen zu erhöhen, die Spektren weniger bis einzelner Moleküle aufzunehmen oder auch Laser auf der Nanoskala zu entwickeln. Überschreitet die Wechselwirkung zwischen Plasmonen und Exzitonen alle anderen Dissipationskanäle, spricht man vom Regime der starken Kopplung. In diesem Regime entstehen neue untrennbare Licht–Materie-Hybridzustände aus denen ultraschnelle optische Schalter, Quantennetzwerke oder pumpschwellenfreie Laser konstruiert werden können. Die Artikel bieten dabei sowohl Erkenntnisse der Grundlageforschung als auch neue technische Verfahren. So wird unter anderem eine Methode zur Sichtbarmachung der vermiedenen Kreuzung gekoppelter Resonanzen vorgestellt, in der die Partikel selber nicht verändert werden. Die Technik wird hier beispielsweise verwendet, um den Zusammenhang zwischen Kopplungsstärke und Partikelgröße zu untersuchen. Zusätzlich zeigt die Arbeit, dass das alleinige Betrachten von Extinktionsspektren unzureichend für die Beurteilung des Kopplungsregimes sein kann. Desweiteren wird die Sättigung durch Vakuumfelder vorgestellt, ein Effekt der Quantenelektrodynamik, der im Zusammenhang mit Plasmonen bisher unbekannt war. Die Reaktion von Gold-Nanopartikeln auf optische Erwärmung stellt den zweiten Themenbereich der Arbeit dar. Da durch optische Anregung grundsätzlich auch Wärme entsteht, ist die Kenntnis über diese Reaktion für alle Anwendungen plasmonischer Nanopartikel von Bedeutung. Zum einen wird hier die spektrale Änderung nach der Anregung gekoppelter Gold–Farbstoff-Partikel untersucht und quantitativ modelliert, zum anderen betrachtet die Arbeit Gold-Nanodreiecke bei optischer Anregung. In zeitaufgelösten Messungen wurde die Ausdehnung des Kristallgitters direkt mit Röntgen-Pulsen aufgenommen. Mit Hilfe von kontinuierlicher Röntgenstrahlung wurde außerdem die Temperatur der Teilchen bei konstanter Beleuchtung von Laserlicht gemessen, wobei die Größe der beleuchteten Fläche und die Lichtintensität variierten. Durch oberflächenverstärkte Raman-Spektren und REM-Bilder ließ sich indes das Schmelzen der Teilchen beobachten. Den Artikeln steht eine ausführliche Einleitung voran, die eine detaillierte Übersicht sowohl über die theoretischen Grundlagen als auch über die experimentelle Methodik bietet. Sie führt lokalisierte Plasmonen auf unterschiedlich geformten Teilchen ein. Für diese Arbeit wurden die Teilchen mit J-Aggregaten ummantelt. Folglich werden diese speziellen Aggregate organischer Farbstoffe mit ihren intensiven und scharfen Resonanzen vorgestellt und die Kopplung ihrer Anregungen mit Plasmonen diskutiert. Für Ab-initio-Simulationen der gekoppelten Spektren werden Modelle für Permittivität der beiden Komponenten besprochen. Abschließend werden die Herstellung der Proben sowie alle in den Artikeln verwendeten Messmethoden eingeführt. KW - Nanoparticles KW - Plasmons KW - Light-Matter Coupling KW - Licht-Materie-Wechselwirkung KW - Nanopartikel KW - Plasmonen Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-496055 ER - TY - JOUR A1 - Chougule, Abhishek A1 - Przybilla, Norbert A1 - Dimitrijevic, Milan S. A1 - Schaffenroth, Veronika T1 - The impact of improved Stark-broadening widths on the modeling of double-ionized chromium lines in hot stars JF - Contributions of the Astronomical Observatory Skalnate Pleso = Práce Astronomického Observatória na Skalnatom Plese N2 - Stellar atmosphere modeling and chemical abundance determinations require the knowledge of spectral line shapes. Spectral lines of chromium in various ionization stages are common in stellar spectra but detailed data on Stark broadening for them is scarce. Recently we reported on the first calculations of Stark widths for several 4s-4p transitions of double-ionized chromium, employing the Modified Semi-Empirical approach (MSE). In this work we present applications of the data to spectrum synthesis of Cr III lines in the ultraviolet region of hot stars. The Atlas9 model atmosphere code and the line-formation code Surface were used with the assumption of local thermodynamic equilibrium. The improvements of adopting the MSE broadening tables instead of approximate Stark broadening coefficients are investigated for a total of 56 Cr III lines visible in HST/STIS spectra of the B3 subgiant star Iota Herculis and the subdwarf B-star Feige 66. KW - line: profiles KW - stars: abundances Y1 - 2020 U6 - https://doi.org/10.31577/caosp.2020.50.1.139 SN - 1335-1842 SN - 1336-0337 VL - 50 IS - 1 SP - 139 EP - 146 PB - Astronomický Ústav SAV CY - Tatranská Lomnica ER - TY - THES A1 - Wolff, Christian Michael T1 - Identification and reduction of losses in perovskite solar cells N2 - Perovskite solar cells have become one of the most studied systems in the quest for new, cheap and efficient solar cell materials. Within a decade device efficiencies have risen to >25% in single-junction and >29% in tandem devices on top of silicon. This rapid improvement was in many ways fortunate, as e. g. the energy levels of commonly used halide perovskites are compatible with already existing materials from other photovoltaic technologies such as dye-sensitized or organic solar cells. Despite this rapid success, fundamental working principles must be understood to allow concerted further improvements. This thesis focuses on a comprehensive understanding of recombination processes in functioning devices. First the impact the energy level alignment between the perovskite and the electron transport layer based on fullerenes is investigated. This controversial topic is comprehensively addressed and recombination is mitigated through reducing the energy difference between the perovskite conduction band minimum and the LUMO of the fullerene. Additionally, an insulating blocking layer is introduced, which is even more effective in reducing this recombination, without compromising carrier collection and thus efficiency. With the rapid efficiency development (certified efficiencies have broken through the 20% ceiling) and thousands of researchers working on perovskite-based optoelectronic devices, reliable protocols on how to reach these efficiencies are lacking. Having established robust methods for >20% devices, while keeping track of possible pitfalls, a detailed description of the fabrication of perovskite solar cells at the highest efficiency level (>20%) is provided. The fabrication of low-temperature p-i-n structured devices is described, commenting on important factors such as practical experience, processing atmosphere & temperature, material purity and solution age. Analogous to reliable fabrication methods, a method to identify recombination losses is needed to further improve efficiencies. Thus, absolute photoluminescence is identified as a direct way to quantify the Quasi-Fermi level splitting of the perovskite absorber (1.21eV) and interfacial recombination losses the transport layers impose, reducing the latter to ~1.1eV. Implementing very thin interlayers at both the p- and n-interface (PFN-P2 and LiF, respectively), these losses are suppressed, enabling a VOC of up to 1.17eV. Optimizing the device dimensions and the bandgap, 20% devices with 1cm2 active area are demonstrated. Another important consideration is the solar cells’ stability if subjected to field-relevant stressors during operation. In particular these are heat, light, bias or a combination thereof. Perovskite layers – especially those incorporating organic cations – have been shown to degrade if subjected to these stressors. Keeping in mind that several interlayers have been successfully used to mitigate recombination losses, a family of perfluorinated self-assembled monolayers (X-PFCn, where X denotes I/Br and n = 7-12) are introduced as interlayers at the n-interface. Indeed, they reduce interfacial recombination losses enabling device efficiencies up to 21.3%. Even more importantly they improve the stability of the devices. The solar cells with IPFC10 are stable over 3000h stored in the ambient and withstand a harsh 250h of MPP at 85◦C without appreciable efficiency losses. To advance further and improve device efficiencies, a sound understanding of the photophysics of a device is imperative. Many experimental observations in recent years have however drawn an inconclusive picture, often suffering from technical of physical impediments, disguising e. g. capacitive discharge as recombination dynamics. To circumvent these obstacles, fully operational, highly efficient perovskites solar cells are investigated by a combination of multiple optical and optoelectronic probes, allowing to draw a conclusive picture of the recombination dynamics in operation. Supported by drift-diffusion simulations, the device recombination dynamics can be fully described by a combination of first-, second- and third-order recombination and JV curves as well as luminescence efficiencies over multiple illumination intensities are well described within the model. On this basis steady state carrier densities, effective recombination constants, densities-of-states and effective masses are calculated, putting the devices at the brink of the radiative regime. Moreover, a comprehensive review of recombination in state-of-the-art devices is given, highlighting the importance of interfaces in nonradiative recombination. Different strategies to assess these are discussed, before emphasizing successful strategies to reduce interfacial recombination and pointing towards the necessary steps to further improve device efficiency and stability. Overall, the main findings represent an advancement in understanding loss mechanisms in highly efficient solar cells. Different reliable optoelectronic techniques are used and interfacial losses are found to be of grave importance for both efficiency and stability. Addressing the interfaces, several interlayers are introduced, which mitigate recombination losses and degradation. N2 - Auf der Suche nach neuen, kostengünstigen und effizienten Systemen zur photovoltaischen Energiegewinnung, sind Perowskit Solarzellen zu einem der am meistuntersuchtesten Systeme avanciert. Innerhalb einer Dekade konnten unabhängig zertifizierte Umwandlungseffizienzen von >25% in Einzelschicht- und >29% in Mehrschichtzellen basierend auf Siliziumzellen realisiert werden. Die schnelle Entwicklung war in vielerlei Hinsicht glücklich, da beispielsweise die Energielevel typischer Perowskitschichten mit bereits existierenden Kontaktschichtsystemen anderer Photovoltaiksysteme, wie etwa Farbstoffsolarzellen oder Organische Solarzellen, kompatibel sind. Trotz dieses schnellen Erfolges, müssen zur weiteren Effizienzsteigerung grundlegende Wirkprinzipien der Solarzellen verstanden werden. Diese Arbeit beschäftigt sich mit dem umfassenden Verständnis von Rekombinationsprozessen in voll funktionstüchtigen Bauteilen. Zunächst wird der Einfluss unterschiedlicher Energielevel einer Transportschicht, basierend auf Fullerenen untersucht. Dieses kontrovers diskutierte Thema wurde umfassend untersucht und Rekombinationsverluste aufgrund ungünstiger Energielevel reduziert indem - durch die Wahl unterschiedlicher Fulleren-Derivate - der energetische Abstand zwischen Leitungsband des Perowskit und dem niedrigsten unbesetzten Zustand des Fullerenes reduziert wird. Zusätzlich wurde eine ultradünne elektrisch isolierende Zwischenschicht eingebracht, die noch effektiver Rekombinationsverluste unterdrückt, ohne die Fähigkeit zur Ladungsextraktion - und damit Effizienz einzuschränken. Das breite Interesse tausender Forschenden weltweit hat zur schnellen Entwicklung besagter hoher Effizienzen geführt, obgleich verlässliche, leicht nachzuvollziehende Herstellungsprotokolle nicht existierten. Auf Basis der hier entwickelten Protokolle, werden Methoden dargestellt, mit denen verlässlich >20% effiziente Solarzellen produziert werden können. Hierbei wird insbesondere auf sogenannte invertierte (p-i-n) Zellen eingegangen, wobei ein Fokus auf der Beschreibung essentieller Faktoren wie Atmosphärenkontrolle, Temperaturkontrolle, Materialreinheit oder praktischer Erfahrung liegt. Analog zu verlässlichen Herstellungsmethoden bedarf es robuster Techniken um Rekombinationsverluste zu identifizieren und zu lokalisieren. Zu diesem Zweck wird die Messung der absoluten Photolumineszenzeffizienz eingeführt, die erlaubt die Aufspaltung der Quasi-Fermi Level des Perowskiten zu quantifizieren (1.22eV). Ebenso ist es mit dieser Methode möglich Rekombinationsverluste an Grenzflächen zu lokalisieren, die die Leerlaufspannung auf 1.1V limitieren. Zur Vermeidung dieser Verluste werden erneut ultradünne Zwischenschichten an sowohl der p- als auch n- Grenzschicht eingebracht (PFN-P2 und LiF), die Leerlaufspannungen von bis zu 1.17V ermöglichen. Mithilfe eines optimierten Designs und einer Reduzierung der Bandlücke können Bauteile mit 20% Effizienz bei einer Größe von 1cm2 realisiert werden. Nebst hoher Effizienz ist die Stabilität der Bauteile unter einsatzrelevanten Umweltbedingungen ein wichtiger Faktor auf dem Weg zu einer Kommerzialisierung. Dies gilt insbesondere für Hitze, Beleuchtung, elektrische Ladung oder eine Kombination letzterer. Perowskitschichten -- insbesondere diejenigen, die organische Kationen beinhalten -- sind wohlbekannt dafür unter genannten Bedingungen zu degradieren. Das Konzept der ultradünnen Zwischenschichten wird daher um eine Familie fluornierter selbstorganisierender molekularer Monoschichten erweitert X-PFC_n, wobei X ein Halogen I/Br darstellt und n = 7-12 die Länge der fluorinerten Alkylkette angibt), die an der n-Grenzfläche zum Einsatz kommen. Diese Zwischenschicht reduziert Rekombinationsverluste resultierend in 21.3% effizienten Bauteilen und ermöglicht zusätzlich eine drastische erhöhte Stabilität. Bauteile mit dem Molekül IPFC10 sind über 3000h stabil unter Lagerungsbedingungen im Dunkeln und überstehen 250h unter voller Last bei 85°C ohne nennenswerte Verluste. Weitere Fortschritte in der Steigerung der Effizienz sind nur zu erwarten, wenn eine vollständige Beschreibung der Wirkprinzipien und Schwachstellen vorliegt. Eine Vielzahl experimenteller Studien haben bisher jedoch ein lückenhaftes Bild gemalt. Häufig sind physikalische Beschränkungen, etwa die hohe Kapazität aufgrund der sehr dünnen Schichten dafür verantwortlich, dass Rekombinationsdynamiken durch kapazitive Entladungsprozesse verdeckt werden. Um diese Probleme zu umgehen, werden hocheffiziente Solarzellen mit einer Kombination mehrerer optischer und optoelektronischer Messmethoden untersucht. Dies ermöglicht die Rekombinationsdynamik mit einer Superposition aus Rekombination erster, zweiter und dritter Ordnung der Ladungsträgerdichte vollumfänglich zu beschreiben. Drift-Diffusions Simulationen unterstützen die experimentellen Ergebnisse, selbst unter Einbeziehung mobiler Ionen. Weiterhin wird in einem Übersichtsartikel ein Ausblick auf den gegenwärtigen Stand des Wissens im Bezug auf Rekombinationsverluste in besagten Solarzellen gegeben. Unterschiedliche Messmethoden werden vorgestellt und erfolgreiche Methoden zur Minderung genannter Verluste diskutiert. Insgesamt stellt diese Arbeit einen Fortschritt im Verständnis und der Verminderung unterschiedlicher Verlustprozesse dar. Mithilfe unterschiedlicher verlässlicher optoelektronischer Messmethoden, wird gezeigt, dass der Ursprung von Rekombinations- und Stabilitätsverlusten häufig an den Grenzflächen liegt. Mithilfe gezielt eingesetzter ultradünner Zwischenschichten werden diese Verluste reduziert und die Stabilität erhöht. T2 - Identifizierung und Reduzierung von Verlusten in Perowskit Solarzellen KW - perovskite solar cells KW - interfacial recombination KW - nonradiative losses KW - Perowskit Solarzellen KW - Grenzflächenrekombination KW - nichtstrahlende Verluste Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-479301 ER - TY - THES A1 - Haupt, Maria T1 - The Magellanic Clouds in VHE gamma rays as seen by H.E.S.S. N2 - Das Gebiet der Gammastrahlungsastronomie hat ein neues Fenster in das nicht-thermische Universum geöffnet, welches erlaubt, die Beschleunigungsorte der kosmischen Strahlung und ihrer Rolle in evolutionären Prozessen in Galaxien zu untersuchen. Der Nachweis von fast einhundert sehr hochenergetischen Gammastrahlungsquellen in unserer Milchstraße zeigt, dass Teilchenbeschleunigung bis in den zweistelligen TeV-Energiebereich ein häufiges Phänomen ist. Darüber hinaus hat der Nachweis von sehr hochenergetischer Gammastrahlung von anderen Galaxien bestätigt, dass die kosmische Strahlung nicht ausschließlich in der Milchstraße beschleunigt wird. Die rasante Entwicklung der Gammastrahlungsastronomie in den letzten zwei Jahrzehnten führte zu einem Übergang von der Detektion und Untersuchung einzelner Quellen hin zu Quellpopulationsstudien. Um die Frage zu beantworten, ob die Quellpopulationen hochenergetischer Gammastrahlung in der Milchstraße einzigartig sind, sind Beobachtungen von anderen Galaxien erforderlich, für die es möglich ist, trotz ihrer Entfernung, einzelne Quellen aufzulösen. Die Magellanschen Wolken, zwei Satellitengalaxien der Milchstraße, sind solche Galaxien, welche im letzten Jahrzehnt durch das H.E.S.S.-Experiment intensiv beobachtet wurden. In dieser Arbeit werden die Daten von insgesamt 450 Stunden H.E.S.S.-Beobachtungen der Großen Magellanschen Wolke und der Kleinen Magellanschen Wolke vorgestellt. Während der Analyse der Datensätze wird besonderer Wert auf die Evaluierung der systematischen Unsicherheiten des Experiments gelegt, um eine unverfälschte Flussabschätzung der potentiellen hochenergetischen Gammastrahlungsquellen der Magellanschen Wolken zu gewährleisten. Die detaillierte Analyse der Beobachtungen führte zur Detektion hochenergetischer Gammastrahlung des Binärsystems LMC P3 in der Großen Magellanschen Wolke und erhöht somit die Anzahl der detektierten Gammastrahlungsquellen in dieser Galaxie auf vier. Dieses neuentdeckte Binärsystem ist das bisher leuchtstärkste in der Quellklasse der Gammastrahlungsbinärsysteme. Für keine andere Quelle in den Magellanschen Wolken wird hochenergetische Gammastrahlung nachgewiesen und es werden Obergrenzen auf den integralen Fluss ermittelt. Diese Flussobergrenzen werden verwendet, um Populationsstudien auf der Grundlage bekannter hochenergetischer Quellklassen sowie bestehender Quellkataloge anderer Wellenlängen durchzuführen. Ein systematischer Vergleich zwischen den Quellpopulationen der Magellanschen Wolken und der Milchstraße ergab, dass keine andere Quelle der Magellanschen Wolken so leuchtstark ist wie die leuchtstärkste hochenergetische Gammastrahlungsquelle in der LMC: der Pulsarwindnebel N157B. Des Weiteren ist ein Drittel der untersuchten Quellpopulation der Magellanschen Wolken weniger leuchtstark als die vier bekannten Gammastrahlungsquellen in der Großen Magellanschen Wolke. Für einige wenige Quellen kann gezeigt werden, dass sie weniger leuchtstark sind als die leuchtstärksten Objekte in der Milchstraße, deren Leuchtkraft um mehr als eine Größenordnung schwächer ist als die der detektierten Quellen in der Großen Magellanschen Wolke. Basierend auf den Flussobergrenzen werden Unterschiede in den Quellpopulationen der Magellanschen Wolken und der Milchstraße sowie die Bedeutung der Quellumgebungen diskutiert. N2 - The field of gamma-ray astronomy opened a new window into the non-thermal universe that allows studying the acceleration sites of cosmic rays and the role of cosmic rays on evolutionary processes in galaxies. The detection of almost one hundred Galactic very-high-energy (VHE: 0.1−100TeV) gamma-ray sources in the Milky Way demonstrates that particle acceleration up to tens of TeV energies is a common phenomenon. Furthermore, the detection of VHE gamma rays from other galaxies has confirmed that cosmic rays are not exclusively accelerated in the Milky Way. The rapid development of gamma-ray astronomy in the past two decades has led to a transition from the detection and study of individual sources to source population studies. To answer the question, whether the VHE gamma-ray source population of the Milky Way is unique, observations of galaxies, for which individual sources can be resolved, are required. Such galaxies are the Magellanic Clouds, two satellite galaxies of the Milky Way, which have been surveyed by the H.E.S.S. experiment in the last decade. In this thesis, data from a total of 450 hours of H.E.S.S. observations towards the Large Magellanic Cloud (LMC) and the Small Magellanic Cloud (SMC) are presented. During the analysis of the data sets, special emphasis is put on the evaluation of systematic uncertainties of the experiment in order to assure an unbiased flux estimation of the potential VHE gamma-ray sources of the Magellanic Clouds. A detailed analysis of the survey data revealed the detection of the gamma-ray binary LMCP3, the most powerful gamma-ray binary known so far, that is located in the LMC, and thus, increases the number of known VHE gamma-ray sources in the LMC to four. No other VHE gamma-ray source is detected in the Magellanic Clouds and integral flux upper limits are estimated. These flux upper limits are used to perform a source population study based on known VHE source classes and existing multi-wavelength catalogues. A comparison of the source populations of the Magellanic Clouds and the Milky Way revealed that no other source in the Magellanic Clouds is as bright as the most luminous VHE gamma-ray source in the LMC: the pulsar wind nebula N 157B, and that one-third of the source population of the Magellanic Clouds is less luminous than the other known VHE gamma-ray sources in the LMC. For only a couple of sources luminosity levels of Galactic VHE sources, that are more than one order of magnitude fainter than the detected sources in the LMC, are constrained. Based on the flux upper limits, differences on the TeV source populations in the Magellanic Clouds and the Milky Way as well as the importance of the source environments will be discussed. KW - astroparticle physics KW - gamma-ray astronomy KW - Magellanic Clouds KW - Astroteilchenphysik KW - Gammastrahlungsastronomie KW - Magellansche Wolken Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-474601 ER - TY - THES A1 - Thapa, Samudrajit T1 - Deciphering anomalous diffusion in complex systems using Bayesian inference and large deviation theory N2 - The development of methods such as super-resolution microscopy (Nobel prize in Chemistry, 2014) and multi-scale computer modelling (Nobel prize in Chemistry, 2013) have provided scientists with powerful tools to study microscopic systems. Sub-micron particles or even fluorescently labelled single molecules can now be tracked for long times in a variety of systems such as living cells, biological membranes, colloidal solutions etc. at spatial and temporal resolutions previously inaccessible. Parallel to such single-particle tracking experiments, super-computing techniques enable simulations of large atomistic or coarse-grained systems such as biologically relevant membranes or proteins from picoseconds to seconds, generating large volume of data. These have led to an unprecedented rise in the number of reported cases of anomalous diffusion wherein the characteristic features of Brownian motion—namely linear growth of the mean squared displacement with time and the Gaussian form of the probability density function (PDF) to find a particle at a given position at some fixed time—are routinely violated. This presents a big challenge in identifying the underlying stochastic process and also estimating the corresponding parameters of the process to completely describe the observed behaviour. Finding the correct physical mechanism which leads to the observed dynamics is of paramount importance, for example, to understand the first-arrival time of transcription factors which govern gene regulation, or the survival probability of a pathogen in a biological cell post drug administration. Statistical Physics provides useful methods that can be applied to extract such vital information. This cumulative dissertation, based on five publications, focuses on the development, implementation and application of such tools with special emphasis on Bayesian inference and large deviation theory. Together with the implementation of Bayesian model comparison and parameter estimation methods for models of diffusion, complementary tools are developed based on different observables and large deviation theory to classify stochastic processes and gather pivotal information. Bayesian analysis of the data of micron-sized particles traced in mucin hydrogels at different pH conditions unveiled several interesting features and we gained insights into, for example, how in going from basic to acidic pH, the hydrogel becomes more heterogeneous and phase separation can set in, leading to observed non-ergodicity (non-equivalence of time and ensemble averages) and non-Gaussian PDF. With large deviation theory based analysis we could detect, for instance, non-Gaussianity in seeming Brownian diffusion of beads in aqueous solution, anisotropic motion of the beads in mucin at neutral pH conditions, and short-time correlations in climate data. Thus through the application of the developed methods to biological and meteorological datasets crucial information is garnered about the underlying stochastic processes and significant insights are obtained in understanding the physical nature of these systems. N2 - Die Entwicklung von Methoden wie der superauflösenden Mikroskopie (Nobelpreis für Chemie, 2014) und der Multiskalen-Computermodellierung (Nobelpreis für Chemie, 2013) hat Wis- senschaftlern mächtige Werkzeuge zur Untersuchung mikroskopischer Systeme zur Verfügung gestellt. Submikrometer Partikel und sogar einzelne fluoreszent markierte Moleküle können heute über lange Beobachtungszeiten in einer Vielzahl von Systemen, wie z.B. lebenden Zellen, biologischen Membranen und kolloidalen Suspensionen, mit bisher unerreichter räumlicher und zeitlicher Auflösung verfolgt werden. Neben solchen Einzelpartikelverfolgungsexperi- menten ermöglichen Supercomputer die Simulation großer atomistischer oder coarse-grained Systeme, wie z..B. biologisch relevante Membranen oder Proteine, über wenige Picosekunden bis hin zu einigen Sekunden, wobei große Datenmengen produziert werden. Diese haben zu einem beispiellosen Anstieg in der Zahl berichteter Fälle von anomaler Diffusion geführt, bei welcher die charakteristischen Eigenschaften der Brownschen Diffusion—nämlich das lineare Wachstum der mittleren quadratischen Verschiebung mit der Zeit und die Gaußsche Form der Wahrscheinlichkeitsdichtefunktion ein Partikel an einem gegebenen Ort und zu gegebener Zeit zu finden—verletzt sind. Dies stellt eine große Herausforderung bei der Identifizierung des zugrundeliegenden stochastischen Prozesses und der Schätzung der zugehörigen Prozess- parameter dar, was zur vollständigen Beschreibung des beobachteten Verhaltens nötig ist. Das Auffinden des korrekten physikalischen Mechanismus, welcher zum beobachteten Verhal- ten führt, ist von überragender Bedeutung, z.B. beim Verständnis der, die Genregulation steuernden, first-arrival time von Transkriptionsfaktoren oder der Überlebensfunktion eines Pathogens in einer biologischen Zelle nach Medikamentengabe. Die statistische Physik stellt nützliche Methoden bereit, die angewendet werden können, um solch wichtige Informationen zu erhalten. Der Schwerpunkt der vorliegenden, auf fünf Publikationen basierenden, kumulativen Dissertation liegt auf der Entwicklung, Implementierung und Anwendung solcher Methoden, mit einem besonderen Schwerpunkt auf der Bayesschen Inferenz und der Theorie der großen Abweichungen. Zusammen mit der Implementierung eines Bayesschen Modellvergleichs und Methoden zur Parameterschätzung für Diffusionsmodelle werden ergänzende Methoden en- twickelt, welche auf unterschiedliche Observablen und der Theorie der großen Abweichungen basieren, um stochastische Prozesse zu klassifizieren und wichtige Informationen zu erhalten. Die Bayessche Analyse der Bewegungsdaten von Mikrometerpartikeln, welche in Mucin- hydrogelen mit verschiedenen pH-Werten verfolgt wurden, enthüllte mehrere interessante Eigenschaften und wir haben z.B. Einsichten darüber gewonnen, wie der Übergang von basischen zu sauren pH-Werten die Heterogenität des Hydrogels erhöht und Phasentrennung einsetzen kann, was zur beobachteten Nicht-Ergodizität (Inäquivalenz von Zeit- und En- semblemittelwert) und nicht-Gaußscher Wahrscheinlichkeitsdichte führt. Mit einer auf der Theorie der großen Abweichungen basierenden Analyse konnten wir, z.B., nicht-Gaußsches Verhalten bei der scheinbaren Brownschen Diffusion von Partikeln in wässriger Lösung, anisotrope Bewegung von Partikeln in Mucin bei neutralem pH-Wert und Kurzzeitkorrela- tionen in Klimadaten detektieren. Folglich werden durch die Anwendung der entwickelten Methoden auf biologische und meteorologische Daten entscheidende Informationen über die zugrundeliegenden stochastischen Prozesse gesammelt und bedeutende Erkenntnisse für das Verständnis der Eigenschaften dieser Systeme erhalten. KW - anomalous diffusion KW - Bayesian inference KW - large deviation theory KW - statistical physics Y1 - 2020 ER - TY - JOUR A1 - Pelisoli, Ingrid A1 - Vos, Joris A1 - Geier, Stephan A1 - Schaffenroth, Veronika A1 - Baran, Andrzej S. T1 - Alone but not lonely BT - observational evidence that binary interaction is always required to form hot subdwarf stars JF - Astronomy and astrophysics : an international weekly journal N2 - Context. Hot subdwarfs are core-helium burning stars that show lower masses and higher temperatures than canonical horizontal branch stars. They are believed to be formed when a red giant suffers an extreme mass-loss episode. Binary interaction is suggested to be the main formation channel, but the high fraction of apparently single hot subdwarfs (up to 30%) has prompted single star formation scenarios to be proposed.Aims. We investigate the possibility that hot subdwarfs could form without interaction by studying wide binary systems. If single formation scenarios were possible, there should be hot subdwarfs in wide binaries that have undergone no interaction.Methods. Angular momentum accretion during interaction is predicted to cause the hot subdwarf companion to spin up to the critical velocity. The effect of this should still be observable given the timescales of the hot subdwarf phase. To study the rotation rates of companions, we have analysed light curves from the Transiting Exoplanet Survey Satellite for all known hot subdwarfs showing composite spectral energy distributions indicating the presence of a main sequence wide binary companion. If formation without interaction were possible, that would also imply the existence of hot subdwarfs in very wide binaries that are not predicted to interact. To identify such systems, we have searched for common proper motion companions with projected orbital distances of up to 0.1 pc to all known spectroscopically confirmed hot subdwarfs using Gaia DR2 astrometry.Results. We find that the companions in composite hot subdwarfs show short rotation periods when compared to field main sequence stars. They display a triangular-shaped distribution with a peak around 2.5 days, similar to what is observed for young open clusters. We also report a shortage of hot subdwarfs with candidate common proper motion companions. We identify only 16 candidates after probing 2938 hot subdwarfs with good astrometry. Out of those, at least six seem to be hierarchical triple systems, in which the hot subdwarf is part of an inner binary.Conclusions. The observed distribution of rotation rates for the companions in known wide hot subdwarf binaries provides evidence of previous interaction causing spin-up. Additionally, there is a shortage of hot subdwarfs in common proper motion pairs, considering the frequency of such systems among progenitors. These results suggest that binary interaction is always required for the formation of hot subdwarfs. KW - subdwarfs KW - binaries: general KW - stars: variables: general Y1 - 2020 U6 - https://doi.org/10.1051/0004-6361/202038473 SN - 0004-6361 SN - 1432-0746 VL - 642 PB - EDP Sciences CY - Les Ulis ER - TY - JOUR A1 - Rüdiger, Günther A1 - Schultz, Manfred T1 - Large-scale dynamo action of magnetized Taylor-Couette flows JF - Monthly notices of the Royal Astronomical Society N2 - A conducting Taylor-Couette flow with quasi-Keplerian rotation law containing a toroidal magnetic field serves as a mean-field dynamo model of the Tayler-Spruit type. The flows are unstable against non-axisymmetric perturbations which form electromotive forces defining a effect and eddy diffusivity. If both degenerated modes with m = +/- 1 are excited with the same power then the global a effect vanishes and a dynamo cannot work. It is shown, however, that the Tayler instability produces finite alpha effects if only an isolated mode is considered but this intrinsic helicity of the single-mode is too low for an alpha(2) dynamo. Moreover, an alpha Omega dynamo model with quasi-Keplerian rotation requires a minimum magnetic Reynolds number of rotation of Rm similar or equal to 2000 to work. Whether it really works depends on assumptions about the turbulence energy. For a steeper-than-quadratic dependence of the turbulence intensity on the magnetic field, however, dynamos are only excited if the resulting magnetic eddy diffusivity approximates its microscopic value, eta(T) similar or equal to eta. By basically lower or larger eddy diffusivities the dynamo instability is suppressed. KW - dynamo KW - instabilities KW - MHD KW - magnetic fields Y1 - 2020 U6 - https://doi.org/10.1093/mnras/staa293 SN - 0035-8711 SN - 1365-2966 VL - 493 IS - 1 SP - 1249 EP - 1260 PB - Oxford Univ. Press CY - Oxford ER - TY - JOUR A1 - Caetano, Daniel L. Z. A1 - Carvalho, Sidney Jurado de A1 - Metzler, Ralf A1 - Cherstvy, Andrey G. T1 - Critical adsorption of multiple polyelectrolytes onto a nanosphere BT - splitting the adsorption-desorption transition boundary JF - Interface : journal of the Royal Society N2 - Employing extensive Monte Carlo computer simulations, we investigate in detail the properties of multichain adsorption of charged flexible polyelectrolytes (PEs) onto oppositely charged spherical nanoparticles (SNPs). We quantify the conditions of critical adsorption-the phase-separation curve between the adsorbed and desorbed states of the PEs-as a function of the SNP surface-charge density and the concentration of added salt. We study the degree of fluctuations of the PE-SNP electrostatic binding energy, which we use to quantify the emergence of the phase subtransitions, including a series of partially adsorbed PE configurations. We demonstrate how the phase-separation adsorption-desorption boundary shifts and splits into multiple subtransitions at low-salt conditions, thereby generalizing and extending the results for critical adsorption of a single PE onto the SNP. The current findings are relevant for finite concentrations of PEs around the attracting SNP, such as the conditions for PE adsorption onto globular proteins carrying opposite electric charges. KW - nanoparticles KW - polyelectrolytes KW - electrostatics KW - critical adsorption KW - phase-transition boundary Y1 - 2020 U6 - https://doi.org/10.1098/rsif.2020.0199 SN - 1742-5689 SN - 1742-5662 VL - 17 IS - 167 PB - Royal Society CY - London ER - TY - JOUR A1 - Stojkoski, Viktor A1 - Sandev, Trifce A1 - Basnarkov, Lasko A1 - Kocarev, Ljupco A1 - Metzler, Ralf T1 - Generalised geometric Brownian motion BT - theory and applications to option pricing JF - Entropy N2 - Classical option pricing schemes assume that the value of a financial asset follows a geometric Brownian motion (GBM). However, a growing body of studies suggest that a simple GBM trajectory is not an adequate representation for asset dynamics, due to irregularities found when comparing its properties with empirical distributions. As a solution, we investigate a generalisation of GBM where the introduction of a memory kernel critically determines the behaviour of the stochastic process. We find the general expressions for the moments, log-moments, and the expectation of the periodic log returns, and then obtain the corresponding probability density functions using the subordination approach. Particularly, we consider subdiffusive GBM (sGBM), tempered sGBM, a mix of GBM and sGBM, and a mix of sGBMs. We utilise the resulting generalised GBM (gGBM) in order to examine the empirical performance of a selected group of kernels in the pricing of European call options. Our results indicate that the performance of a kernel ultimately depends on the maturity of the option and its moneyness. KW - geometric Brownian motion KW - Fokker– Planck equation KW - Black– Scholes model KW - option pricing Y1 - 2020 U6 - https://doi.org/10.3390/e22121432 SN - 1099-4300 VL - 22 IS - 12 PB - MDPI CY - Basel ER - TY - THES A1 - Krivenkov, Maxim T1 - Spin textures and electron scattering in nanopatterned monolayer graphene N2 - The current thesis is focused on the properties of graphene supported by metallic substrates and specifically on the behaviour of electrons in such systems. Methods of scanning tunneling microscopy, electron diffraction and photoemission spectroscopy were applied to study the structural and electronic properties of graphene. The purpose of the first part of this work is to introduce the most relevant aspects of graphene physics and the methodical background of experimental techniques used in the current thesis. The scientific part of this work starts with the extensive study by means of scanning tunneling microscopy of the nanostructures that appear in Au intercalated graphene on Ni(111). This study was aimed to explore the possible structural explanations of the Rashba-type spin splitting of ~100 meV experimentally observed in this system — much larger than predicted by theory. It was demonstrated that gold can be intercalated under graphene not only as a dense monolayer, but also in the form of well-periodic arrays of nanoclusters, a structure previously not reported. Such nanocluster arrays are able to decouple graphene from the strongly interacting Ni substrate and render it quasi-free-standing, as demonstrated by our DFT study. At the same time calculations confirm strong enhancement of the proximity-induced SOI in graphene supported by such nanoclusters in comparison to monolayer gold. This effect, attributed to the reduced graphene-Au distance in the case of clusters, provides a large Rashba-type spin splitting of ~60 meV. The obtained results not only provide a possible mechanism of SOI enhancement in this particular system, but they can be also generalized for graphene on other strongly interacting substrates intercalated by nanostructures of heavy noble d metals. Even more intriguing is the proximity of graphene to heavy sp-metals that were predicted to induce an intrinsic SOI and realize a spin Hall effect in graphene. Bismuth is the heaviest stable sp-metal and its compounds demonstrate a plethora of exciting physical phenomena. This was the motivation behind the next part of the current thesis, where structural and electronic properties of a previously unreported phase of Bi-intercalated graphene on Ir(111) were studied by means of scanning tunneling microscopy, spin- and angle-resolved photoemission spectroscopy and electron diffraction. Photoemission experiments revealed a remarkable, nearly ideal graphene band structure with strongly suppressed signatures of interaction between graphene and the Ir(111) substrate, moreover, the characteristic moiré pattern observed in graphene on Ir(111) by electron diffraction and scanning tunneling microscopy was strongly suppressed after intercalation. The whole set of experimental data evidences that Bi forms a dense intercalated layer that efficiently decouples graphene from the substrate. The interaction manifests itself only in the n-type charge doping (~0.4 eV) and a relatively small band gap at the Dirac point (~190 meV). The origin of this minor band gap is quite intriguing and in this work it was possible to exclude a wide range of mechanisms that could be responsible for it, such as induced intrinsic spin-orbit interaction, hybridization with the substrate states and corrugation of the graphene lattice. The main origin of the band gap was attributed to the A-B symmetry breaking and this conclusion found support in the careful analysis of the interference effects in photoemission that provided the band gap estimate of ~140 meV. While the previous chapters were focused on adjusting the properties of graphene by proximity to heavy metals, graphene on its own is a great object to study various physical effects at crystal surfaces. The final part of this work is devoted to a study of surface scattering resonances by means of photoemission spectroscopy, where this effect manifests itself as a distinct modulation of photoemission intensity. Though scattering resonances were widely studied in the past by means of electron diffraction, studies about their observation in photoemission experiments started to appear only recently and they are very scarce. For a comprehensive study of scattering resonances graphene was selected as a versatile model system with adjustable properties. After the theoretical and historical introduction to the topic of scattering resonances follows a detailed description of the unusual features observed in the photoemission spectra obtained in this work and finally the equivalence between these features and scattering resonances is proven. The obtained photoemission results are in a good qualitative agreement with the existing theory, as verified by our calculations in the framework of the interference model. This simple model gives a suitable explanation for the general experimental observations. The possibilities of engineering the scattering resonances were also explored. A systematic study of graphene on a wide range of substrates revealed that the energy position of the resonances is in a direct relation to the magnitude of charge transfer between graphene and the substrate. Moreover, it was demonstrated that the scattering resonances in graphene on Ir(111) can be suppressed by nanopatterning either by a superlattice of Ir nanoclusters or by atomic hydrogen. These effects were attributed to strong local variations of tork function and/or destruction of long-range order of thephene lattice. The tunability of scattering resonances can be applied for optoelectronic devices based on graphene. Moreover, the results of this study expand the general understanding of the phenomenon of scattering resonances and are applicable to many other materials besides graphene. N2 - Die vorliegende Arbeit beschäftigt sich mit den Eigenschaften von Graphen auf metallischen Substraten und speziell mit dem Verhalten von Elektronen in solchen Systemen. Der wissenschaftliche Teil dieser Arbeit beginnt mit der umfassenden Untersuchung von Nanostrukturen, die in Au-interkaliertem Graphen auf Ni(111) auftreten, mittels Rastertunnelmikroskopie (RTM). Diese Studie zielte darauf ab, die möglichen strukturellen Erklärungen der experimentell in diesem System beobachteten Rashba- Spin-Aufspaltung von ~100 meV zu untersuchen — die viel größer als theoretisch vorhergesagt ist. Es wurde gezeigt, dass Gold unter Graphen nicht nur als dichte Monolage interkaliert werden kann, sondern auch in Form von exakt periodischen Anordnungen von Nanoclustern, einer Struktur, die bisher nicht beschrieben wurde. Solche Nanocluster-Arrays können Graphen von dem stark wechselwirkenden Ni-Substrat entkoppeln und es quasi freistehend machen, wie unsere Dichtefunktionaltheorie-Studie zeigt. Gleichzeitig bestätigen die Dichtefunktionaltheorie-Rechnungen eine starke Erhöhung der durch Proximity induzierten Spin-Bahn-Wechselwirkung (SBW) in Graphen durch solche Nanocluster im Vergleich zu einer homogenen Gold-Monolage. Dieser Effekt, der im Falle von Clustern auf den verringerten Graphen-Au-Abstand zurückgeführt wird, liefert eine große Spinaufspaltung vom Rashba-Typ von ~60 meV. Die erhaltenen Ergebnisse liefern nicht nur einen möglichen Mechanismus zur Erhöhung der SBW in diesem speziellen System, sondern können auch auf Graphen auf anderen stark wechselwirkenden Substraten verallgemeinert werden, die mit Nanostrukturen von schweren Edelmetallen interkaliert sind. Noch faszinierender ist die Nähe von Graphen zu schweren sp-Metallen, von denen vorhergesagt wurde, dass sie eine intrinsische SBW induzieren und einen Spin-Hall-Effekt in Graphen realisieren. Wismut ist das schwerste stabile sp-Metall und seine Verbindungen zeigen eine Vielzahl aufregender physikalischer Phänomene. Dies war die Motivation für den nächsten Teil der vorliegenden Arbeit, in dem strukturelle und elektronische Eigenschaften einer bisher nicht beschriebenen Phase von Bismuth-interkaliertem Graphen auf Ir(111) untersucht werden. Experimente ergaben eine nahezu ideale Graphenbandstruktur mit stark unterdrückten Wechselwirkungssignaturen zwischen Graphen und dem Ir(111)-Substrat. Die gesamten experimentellen Daten belegen, dass Bi eine dichte interkalierte Schicht bildet, die Graphen effizient vom Substrat entkoppelt. Die Wechselwirkung manifestiert sich nur in der Ladungsdotierung vom n-Typ (~0,4 eV) und einer Bandlücke am Dirac-Punkt (~190 meV). Den Ursprung dieser Bandlücke zu ermitteln ist sehr komplex, und in dieser Arbeit konnte eine Vielzahl von Mechanismen ausgeschlossen werden, die dafür verantwortlich sein könnten, wie etwa induzierte intrinsische SBW, Hybridisierung mit den Substratzuständen und Riffelung des Graphen-Gitters. Der Hauptursprung der Bandlücke wurde einem Bruch der A-B -Symmetrie zugeschrieben, und diese Schlussfolgerung stützte sich auf eine eingehende Analyse der Interferenzeffekte bei der Photoemission, die eine Abschätzung der Bandlücke von ~140 meV lieferte. Während sich die vorherigen Kapitel auf die Anpassung der Eigenschaften von Graphen durch die Nähe zu Schwermetallen konzentrierten, ist Graphen allein ein großartiges Objekt, um verschiedene physikalische Effekte an Kristalloberflächen zu untersuchen. Der letzte Teil dieser Arbeit befasst sich mit der Photoemissionsspektroskopie Untersuchung von Oberflächenstreuresonanzen, deren Effekt sich in einer deutlichen Modulation der Photoemissionsintensität manifestiert. Obwohl Streuresonanzen in der Vergangenheit häufig mittels Elektronenbeugung untersucht wurden, erschienen einige wenige Studien über ihre Beobachtung in Photoemissionsexperimenten erst vor kurzem. Für eine umfassende Untersuchung der Streuresonanzen wurde Graphen als vielseitiges Modellsystem mit einstellbaren Eigenschaften ausgewählt. Das Kapitel beginnt mit einer historischen Einführung in das Thema Streuresonanzen, gefolgt von der Beschreibung der ungewöhnlichen Photoemissionsspektralmerkmale, die in dieser Arbeit erhalten wurden. Schließlich wird die Äquivalenz zwischen diesen Merkmalen und Streuresonanzen bewiesen. Die erhaltenen Photoemissionsergebnisse stimmen qualitativ gut mit der bestehenden Theorie überein, wie unsere Berechnungen im Rahmen des Interferenzmodells belegen. Dieses einfache Modell liefert eine geeignete Erklärung für die Gesamtheit der experimentellen Beobachtungen. Möglichkeiten, die Streuresonanzen zu modifizieren wurden ebenfalls untersucht. Eine systematische Untersuchung von Graphen auf einer Vielzahl von Substraten ergab, dass die Energieposition der Resonanzen in direktem Zusammenhang mit der Größe des Ladungstransfers zwischen Graphen und Substrat steht. Darüber hinaus wurde gezeigt, dass die Streuresonanzen in Graphen auf Ir(111) durch Nanostrukturierung entweder durch ein Übergitter von Ir-Nanoclustern oder durch atomaren Wasserstoff unterdrückt werden können. Diese Effekte wurden auf starke lokale Variationen der Austrittsarbeit und/oder die Zerstörung der langreichweitigen Ordnung des Graphengitters zurückgeführt. Die Abstimmbarkeit von Streuresonanzen kann für optoelektronische Bauelemente auf der Basis von Graphen verwendet werden. Darüber hinaus erweitern die Ergebnisse dieser Studie das allgemeine Verständnis des Phänomens der Streuresonanzen und sind neben Graphen auch auf viele andere Materialien anwendbar. T2 - Spin-Texturen und Elektronenstreuung in nanostrukturiertem Monolage-Graphen KW - graphene KW - spin texture KW - scattering resonances KW - Rashba effect KW - bismuth KW - Rashba-Effekt KW - Wismut KW - Graphen KW - Streuresonanzen KW - Spin Textur Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-487017 ER - TY - JOUR A1 - Kuentzer, Felipe A. A1 - Juracy, Leonardo R. A1 - Moreira, Matheus T. A1 - Amory, Alexandre M. T1 - Testing the blade resilient asynchronous template JF - Analog integrated circuits and signal processing : an international journal N2 - As VLSI design moves into ultra-deep-submicron technologies, timing margins added to the clock period are mandatory, to ensure correct circuit behavior under worst-case conditions. Timing resilient architectures emerged as a promising solution to alleviate these worst-case timing margins. These architectures allow improving system performance and reducing energy consumption. Asynchronous systems, on the other hand, have the potential to improve energy efficiency and performance. Blade is an asynchronous timing resilient template that leverages the advantages of both asynchronous and timing resilient techniques. However, Blade still presents challenges regarding its testability, which hinders its commercial or large-scale application. This paper demonstrates that scan chains can be prohibitive for Blade due to their high silicon costs., which can reach more than 100%. Then, it proposes an alternative test approach that allows concurrent testing, stuck-at, and delay testing. The test approach is based on the reuse the Blade features to provide testability, with silicon area overheads between 4 and 7%. KW - asynchronous design KW - blade KW - delay faults KW - design for Testability KW - stuck-at faults KW - timing resilient design Y1 - 2020 U6 - https://doi.org/10.1007/s10470-020-01651-8 SN - 0925-1030 SN - 1573-1979 VL - 106 IS - 1 SP - 219 EP - 234 PB - Springer CY - Dordrecht ER - TY - JOUR A1 - Cabalar, Pedro A1 - Fandinno, Jorge A1 - Lierler, Yuliya T1 - Modular Answer Set Programming as a formal specification language JF - Theory and practice of logic programming N2 - In this paper, we study the problem of formal verification for Answer Set Programming (ASP), namely, obtaining aformal proofshowing that the answer sets of a given (non-ground) logic programPcorrectly correspond to the solutions to the problem encoded byP, regardless of the problem instance. To this aim, we use a formal specification language based on ASP modules, so that each module can be proved to capture some informal aspect of the problem in an isolated way. This specification language relies on a novel definition of (possibly nested, first order)program modulesthat may incorporate local hidden atoms at different levels. Then,verifyingthe logic programPamounts to prove some kind of equivalence betweenPand its modular specification. KW - Answer Set Programming KW - formal specification KW - formal verification KW - modular logic programs Y1 - 2020 U6 - https://doi.org/10.1017/S1471068420000265 SN - 1471-0684 SN - 1475-3081 VL - 20 IS - 5 SP - 767 EP - 782 PB - Cambridge University Press CY - New York ER - TY - THES A1 - Mandal, Partha Sarathi T1 - Controlling the surface band gap in topological states of matter N2 - In the present study, we employ the angle-resolved photoemission spectroscopy (ARPES) technique to study the electronic structure of topological states of matter. In particular, the so-called topological crystalline insulators (TCIs) Pb1-xSnxSe and Pb1-xSnxTe, and the Mn-doped Z2 topological insulators (TIs) Bi2Te3 and Bi2Se3. The Z2 class of strong topological insulators is protected by time-reversal symmetry and is characterized by an odd number of metallic Dirac type surface states in the surface Brillouin zone. The topological crystalline insulators on the other hand are protected by the individual crystal symmetries and exhibit an even number of Dirac cones. The topological properties of the lead tin chalcogenides topological crystalline insulators can be tuned by temperature and composition. Here, we demonstrate that Bi-doping of the Pb1-xSnxSe(111) epilayers induces a quantum phase transition from a topological crystalline insulator to a Z2 topological insulator. This occurs because Bi-doping lifts the fourfold valley degeneracy in the bulk. As a consequence a gap appears at ⌈¯, while the three Dirac cones at the M̅ points of the surface Brillouin zone remain intact. We interpret this new phase transition is caused by lattice distortion. Our findings extend the topological phase diagram enormously and make strong topological insulators switchable by distortions or electric field. In contrast, the bulk Bi doping of epitaxial Pb1-xSnxTe(111) films induces a giant Rashba splitting at the surface that can be tuned by the doping level. Tight binding calculations identify their origin as Fermi level pinning by trap states at the surface. Magnetically doped topological insulators enable the quantum anomalous Hall effect (QAHE) which provide quantized edge states for lossless charge transport applications. The edge states are hosted by a magnetic energy gap at the Dirac point which has not been experimentally observed to date. Our low temperature ARPES studies unambiguously reveal the magnetic gap of Mn-doped Bi2Te3. Our analysis shows a five times larger gap size below the Tc than theoretically predicted. We assign this enhancement to a remarkable structure modification induced by Mn doping. Instead of a disordered impurity system, a self-organized alternating sequence of MnBi2Te4 septuple and Bi2Te3quintuple layers is formed. This enhances the wave-function overlap and gives rise to a large magnetic gap. Mn-doped Bi2Se3 forms similar heterostructure, but only a nonmagnetic gap is observed in this system. This correlates with the difference in magnetic anisotropy due to the much larger spin-orbit interaction in Bi2Te3 compared to Bi2Se3. These findings provide crucial insights for pushing lossless transport in topological insulators towards room-temperature applications. N2 - In der vorliegenden Studie verwenden wir die Methode der winkelaufgelösten Photoemissionsspektroskopie (ARPES) zur Untersuchung der elektronischen Struktur von topologischen Zuständen der Materie. Insbesondere die sogenannten topologischen kristallinen Isolatoren (TCI) Pb1-xSnxSe und Pb1-xSnxTe sowie die Mn-dotierten Z2 topologischen Isolatoren (TI) Bi2Te3 und Bi2Se3. Die Z2-Klasse der starken topologischen Isolatoren ist durch Zeitumkehrsymmetrie geschützt und durch eine ungerade Anzahl metallischer Dirac-Oberflächenzustände in der Oberflächenbrillouinzone gekennzeichnet. Die topologischen kristallinen Isolatoren hingegen sind durch einzelne Kristallsymmetrien geschützt und weisen eine gerade Anzahl von Dirac-Kegeln auf. Die topologischen Eigenschaften von Blei-Zinn-Chalkogenid-TCI lassen sich durch Temperatur sowie chemische Zusammensetzung einstellen. Hier wird gezeigt, dass Bi-Dotierung von eptiaktischen Pb1-xSnxSe(111)-Schichten einen Quantenphasenübergang von einem topologischen kristallinen Isolator zu einem Z2-topologischen Isolator hervorruft. Dies geschieht, weil die Dotierung mit Bi die vierfache Valley-Entartung im Volumen aufhebt. Als Konsequenz entsteht eine Lücke bei ⌈¯, während die drei Dirac-Kegel an den M̅-Punkten der Oberflächenbrillouinzone intakt bleiben. Wir interpretieren diesen neuen Phasenübergang als durch eine Gitterverzerrung verursacht. Unsere Ergebnisse erweitern das topologische Phasendiagramm enorm und machen starke topologische Isolatoren durch Verzerrungen oder elektrische Felder schaltbar. Im Gegensatz dazu induziert eine Bi-Dotierung im Volumen von epitaktischen Pb1-xSnxTe(111)-Schichten eine riesige Rashba-Aufspaltung an der Oberfläche, die durch das Ausmaß der Dotierung eingestellt werden kann. Tight-Binding-Berechnungen identifizieren ihren Ursprung in einem Fermi-Niveau-Pinning durch Trap-Zustände an der Oberfläche. Magnetisch dotierte topologische Isolatoren ermöglichen den quantisierten anomalen Hall-Effekt (QAHE), der quantisierte Kantenzustände liefert, die für verlustfreien Ladungstransport eingesetzt werden können. Die Kantenzustände treten in einer magnetischen Energielücke am Dirac-Punkt auf, die bisher noch nicht experimentell beobachtet wurde. Unsere Tieftemperatur-ARPES-Untersuchungen weisen die magnetische Energielücke in Mn dotiertem Bi2Te3 eindeutig nach. Unsere Analyse zeigt unterhalb von Tc eine viermal größere Energielücke als theoretisch vorhergesagt. Wir führen diese Erhöhung auf eine bemerkenswerte Strukturmodifikation durch die Mn-Dotierung zurück. Statt eines Systems mit ungeordneten Mn Verunreinigungen entsteht eine selbstorganisierte alternierende Sequenz von MnBi2Te4-Septupel- und Bi2Te3-Quintupel-Schichten. Das erhöht den Überlapp der Wellenfunktionen und führt zu der großen magnetischen Energielücke. Mn-dotiertes Bi2Se3 bildet ähnliche Heterostrukturen aus, jedoch wird in diesem System nur eine nichtmagnetische Energielücke beobachtet. Dies korreliert mit der unterschiedlichen magnetischen Anisotropie aufgrund der viel größeren Spin-Bahn-Wechselwirkung im Bi2Te3 im Vergleich zu Bi2Se3. Diese Resultate liefern entscheidende Erkenntnisse, um verlustfreien Transport in topologischen Isolatoren für Anwendungen bei Raumtemperatur weiterzuentwickeln. KW - ARPES KW - Topological Insulator KW - Topological Crystalline Insulator KW - Rashba effect KW - Rashba-Effekt KW - Topologischer kristalliner Isolator KW - Topologischer Isolator Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-480459 ER - TY - THES A1 - Christ, Simon T1 - Morphological transitions of vesicles exposed to nonuniform spatio-temporal conditions N2 - Giant unilamellar vesicles are an important tool in todays experimental efforts to understand the structure and behaviour of biological cells. Their simple structure allows the isolation of the physical elastic properties of the lipid membrane. A central physical property is the bending energy of the membrane, since the many different shapes of giant vesicles can be obtained by finding the minimum of the bending energy. In the spontaneous curvature model the bending energy is a function of the bending rigidity as well as the mean curvature and an additional parameter called the spontaneous curvature, which describes an internal preference of the lipid-bilayer to bend towards one side or the other. The spontaneous and mean curvature are local properties of the membrane. Additional constraints arise from the conservation of the membrane surface area and the enclosed volume, which are global properties. In this thesis the spontaneous curvature model is used to explain the experimental observation of a periodic shape oscillation of a giant unilamellar vesicle that was filled with a protein complex that periodically binds to and unbinds from the membrane. By assuming that the binding of the proteins to the membrane induces a change in the spontaneous curvature the experimentally observed shapes could successfully be explained. This involves the numerical solution of the differential equations as obtained from the minimization of the bending energy respecting the area and volume constraints, the so called shape equations. Vice versa this approach can be used to estimate the spontaneous curvature from experimentally measurable quantities. The second topic of this thesis is the analysis of concentration gradients in rigid conic membrane compartments. Gradients of an ideal gas due to gravity and gradients generated by the directed stochastic movement of molecular motors along a microtubulus were considered. It was possible to calculate the free energy and the bending energy analytically for the ideal gas. In the case of the non-equilibrium system with molecular motors, the characteristic length of the density profile, the jam-length, and its dependency on the opening angle of the conic compartment have been calculated in the mean-field limit. The mean field results agree qualitatively with stochastic particle simulations. N2 - Die Morphologie beschreibt die Struktur und Form von Organismen. Im Rahmen dieser Arbeit werden insbesondere die verschiedenen Formen von einfachen Lipidmembranen untersucht, die geschlossene Formen in Lösung bilden, die Vesikel. Der Fokus liegt dabei auf Begebenheiten, in denen die es inhomogene Zustände innerhalb oder außerhalb des Vesikels gibt. Das betrifft zum einen die Erklärung der beobachteten Formen in einem Experiment, bei dem im Inneren des Vesikels Proteine plaziert wurden, die sich wiederkehrend an die innere Vesikelmembran heften und wieder ablösen. Dabei Verändert sich die Form des Vesikels von einer symmetrischen erdnussähnlichen Form zu einer asymmetrischen Form mit einem sehr dünnen Hals. Mittels eines theoretischem Modells, dass dem Anheften der Proteine eine Änderung in ihrer bevorzugten Krümmung zuweist, werden Formen berechnet, die den beobachteten Formen gleichen und nur durch das Variieren der bevorzugten Krümmung kann derselbe Formübergang erzielt werden. Außerdem wird die Biegeenergie von Vesikeln, die durch die äußere Umgebung in eine kegelförmige Form gezwungen werden, in Abhängigkeit des Öffnungswinkels des Kegels analytisch berechnet. Es wird weiterhin die freie Energie eines idealen Gases, das durch die Kräfte der Gravitation inhomogen verteilt ist, innerhalb solcher starren kegelförmigen Vesikeln analytisch berechnet. Ein weiteres System, das betrachtet wird, sind molekulare Motoren, die die Fähigkeit besitzen, sich entlang bestimmter Stränge, der Mikrotubuli, gerichtet fortzubewegen und wenn sie sich nicht an einem Mikrotubulus befinden, bewegen sie sich aufgrund der üblichen ungerichteten Kräfte, der Diffusion. Wenn nur ein Mikrotubulus und nur eine Art von Motoren vorhanden ist, entsteht dadurch eine Anhäufung von Teilchen auf der Seite in die die Motoren sich bewegen, ein Konzentrationsgradient. Es wird analytisch berechnet, wie sich dieser Konzentrationsgradient verschiebt, wenn sich der Öffnungswinkel des Kegels ändert und mit Ergebnissen aus Computersimulationen verglichen. T2 - Morphologische Übergänge von Vesikeln unter räumlich oder zeitlich inhomogenen Bedingunge KW - Formgleichungen von Vesikeln KW - Shape equations of vesicles KW - Molekulare Motoren KW - Molecular motors KW - Conic compartments KW - Kegelförmige Geometrien KW - Bending energy KW - Biegeenergie KW - Min-Proteine KW - Min-proteins Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-480788 ER - TY - THES A1 - Pudell, Jan-Etienne T1 - Lattice dynamics T1 - Gitterdynamik BT - observed with x-ray diffraction BT - beobachtet mit Röntgenbeugung N2 - In this thesis I summarize my contribution to the research field of ultrafast structural dynamics in condensend matter. It consists of 17 publications that cover the complex interplay between electron, magnon, and phonon subsystems in solid materials and the resulting lattice dynamics after ultrafast photoexcitation. The investigation of such dynamics is necessary for the physical understanding of the processes in materials that might become important in the future as functional materials for technological applications, for example in data storage applications, information processing, sensors, or energy harvesting. In this work I present ultrafast x-ray diffraction (UXRD) experiments based on the optical pump – x-ray probe technique revealing the time-resolved lattice strain. To study these dynamics the samples (mainly thin film heterostructures) are excited by femtosecond near-infrared or visible light pulses. The induced strain dynamics caused by stresses of the excited subsystems are measured in a pump-probe scheme with x-ray diffraction (XRD) as a probe. The UXRD setups used during my thesis are a laser-driven table-top x-ray source and large-scale synchrotron facilities with dedicated time-resolved diffraction setups. The UXRD experiments provide quantitative access to heat reservoirs in nanometric layers and monitor the transient responses of these layers with coupled electron, magnon, and phonon subsystems. In contrast to optical probes, UXRD allows accessing the material-specific information, which is unavailable for optical light due to the detection of multiple indistinguishable layers in the range of the penetration depth. In addition, UXRD facilitates a layer-specific probe for layers buried opaque heterostructures to study the energy flow. I extended this UXRD technique to obtain the driving stress profile by measuring the strain dynamics in the unexcited buried layer after excitation of the adjacent absorbing layers with femtosecond laser pulses. This enables the study of negative thermal expansion (NTE) in magnetic materials, which occurs due to the loss of the magnetic order. Part of this work is the investigation of stress profiles which are the source of coherent acoustic phonon wave packets (hypersound waves). The spatiotemporal shape of these stress profiles depends on the energy distribution profile and the ability of the involved subsystems to produce stress. The evaluation of the UXRD data of rare-earth metals yields a stress profile that closely matches the optical penetration profile: In the paramagnetic (PM) phase the photoexcitation results in a quasi-instantaneous expansive stress of the metallic layer whereas in the antiferromagnetic (AFM) phase a quasi-instantaneous contractive stress and a second contractive stress contribution rising on a 10 ps time scale adds to the PM contribution. These two time scales are characteristic for the magnetic contribution and are in agreement with related studies of the magnetization dynamics of rare-earth materials. Several publications in this thesis demonstrate the scientific progress in the field of active strain control to drive a second excitation or engineer an ultrafast switch. These applications of ultrafast dynamics are necessary to enable control of functional material properties via strain on ultrafast time scales. For this thesis I implemented upgrades of the existing laser-driven table-top UXRD setup in order to achieve an enhancement of x-ray flux to resolve single digit nanometer thick layers. Furthermore, I developed and built a new in-situ time-resolved magneto-optic Kerr effect (MOKE) and optical reflectivity setup at the laser-driven table-top UXRD setup to measure the dynamics of lattice, electrons and magnons under the same excitation conditions. N2 - In dieser Doktoarbeit sind meine Beiträge zum Forschungsgebiet der ltraschnellen Strukturdynamik in kondensierter Materie zusammegefasst. Sie besteht aus 17 Publikationen, welche dieWechselwirkung zwischen Elektron-, Magnon- und Phononsystem in Festkörpern, sowie die dadurch verursachte Gitterdynamik nach ultraschneller optischer Anregung diskutieren. Die Untersuchung dieser Dynamik ist erforderlich für das physikalische Verständnis der Prozesse in Materialien, die in Zukunft als Funktionsmaterialien für technologische Anwendungen, z.B. in der Datenspeicherung und Informationsverarbeitung, sowie bei Sensoren und der Energiegewinnung, wichtig werden könnten. In dieser Arbeit präsentiere ich Experimente, welche ultraschneller Röntgenbeugung (UXRD) als Technik nutzen. Sie basiert auf der Anrege-Abfrage-Technik: Die Dynamik in der Probe (hauptsächlich Dünnfilm-Heterostrukturen) wird durch Femtosekunden-Lichtpulse im nahen Infrarot oder im sichtbaren Bereich angeregt. Die Dehnung des Materials, welche die Spannung (Druck) der angeregten Teilsysteme hervorruft, wird mit Röntgenbeugung als Abfrage gemessen. Während meiner Doktorandentätigkeit habe ich zwei Arten von Aufbauten zur UXRD genutzt: lasergetriebene laborbasierte Röntgenquellen und Synchrotronstrahlungsquellen mit zugehörigen zeitaufgelösten Messinstrumenten. Mit den UXRD-Experimenten kann die gespeicherte Energie unterschiedlicher gekoppelter Teilsysteme, wie Elektronen, Mangonen und Phononen, einer nur wenige Nanometer dicken Schicht gemessen werden. Im Vergleich zu optischenMesstechniken bietet UXRD den Zugriff auf materialspezifische Informationen, die für optisches Licht aufgrund der Detektion mehrerer nicht unterscheidbarer Schichten im Bereich der Eindringtiefe nicht zur Verfügung steht. Darüber hinaus lässt sich mit UXRD eine für optische Detektion verdeckte Schicht als schichtspezifische Sonde nutzen, um den Energietransport zu untersuchen. Dieses Prinzip wurde dazu genutzt, um das treibende Spannungsprofil mittels der Dehnungsdynamik in einer angrenzenden, optisch nicht angeregten Schicht zu messen. Dies ermöglichte die Untersuchung der Dichteanomalie in magnetischen Materialen, die durch den Verlust der magnetischen Ordnung entsteht. Ebenfalls Teil dieser Arbeit ist die Untersuchung von Spannungsprofilen als Quelle von kohärenten akustischen Phononen (Hyperschallwellen). Das raumzeitliche Profil des Spannungsprofils hängt von der Energieverteilung innerhalb der Teilsysteme und ihrer Fähigkeit ab, Energie in Dehnung umzusetzen. Die Auswertung von UXRD Experimenten an Metallen der Seltenen Erden ergab ein Spannungsprofil, dass dem Absorptionsprofil der optischen Anregung entsprach: In der paramagnetischen Phase erzeugte es einen instantanen expansiven Druck, wohingegen in der antiferromagnetischen Phase ein instantaner und ein auf einer 10 ps Zeitskala ansteigender kontrahierender Druck zusätzlich auftritt. Die beiden charakteristischen Zeitskalen in der antiferromagnetischen Phase sind in Übereinstimmung mit verschiedenen Studien der Demagnetisierungsdynamik in den Metallen der Seltenen Erden. Einige Publikationen dieser Arbeit beschäftigen sich mit Feld der aktiven Dehnungskontrolle. Dies ermöglich die Kontrolle von Funktionsmaterialen via Dehnung auf ultraschnellen Zeitskalen. Im Rahmen meiner Doktorandentätigkeit habe ich den lasergetriebenen UXRD Aufbau optimiert, um mit dem hohen Röntgenfluss Experimente mit nur einigen Nanometer dicken Schichten zu ermöglichen. Diese Maschine habe ich um einen zeitaufgelösten Aufbau zur in situ Messung der Reflektivität und Magnetisierungsdynamik mittels magnetooptischem Kerr-Effekt ergänzt. Dies ermöglicht die gleichzeitige Messung von Gitter-, Elektronen- und Magnonendynamik unter derselben Anregebedingung. KW - ultrafast x-ray diffraction KW - ultraschnelle Röntgendiffraktion KW - lattice dynamics KW - Gitterdynamik KW - nanoscale heat transfer KW - nanoskaliger Wärmetransport KW - ultrafast magnetism KW - ultraschneller Magnetimus KW - mechanical and acoustical properties KW - mechanische und akustische Eigenschaften Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-484453 ER - TY - GEN A1 - Abdalla, Hassan E. A1 - Adam, Remi A1 - Aharonian, Felix A. A1 - Benkhali, Faical Ait A1 - Angüner, Ekrem Oǧuzhan A1 - Arakawa, Masanori A1 - Arcaro, C A1 - Armand, Catherine A1 - Armstrong, T. A1 - Egberts, Kathrin T1 - Very high energy γ-ray emission from two blazars of unknown redshift and upper limits on their distance T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - We report on the detection of very high energy (VHE; E > 100 GeV) gamma-ray emission from the BL Lac objects KUV 00311-1938 and PKS 1440-389 with the High Energy Stereoscopic System (H.E.S.S.). H.E.S.S. observations were accompanied or preceded by multiwavelength observations with Fermi/LAT, XRT and UVOT onboard the Swift satellite, and ATOM. Based on an extrapolation of the Fermi/LAT spectrum towards the VHE gamma-ray regime, we deduce a 95 per cent confidence level upper limit on the unknown redshift of KUV 00311-1938 of z < 0.98 and of PKS 1440-389 of z < 0.53. When combined with previous spectroscopy results, the redshift of KUV 00311-1938 is constrained to 0.51 <= z < 0.98 and of PKS 1440-389 to 0.14 (sic) z < 0.53. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1202 KW - BL Lacertae objects: individual KW - galaxies: high-redshift KW - gamma-rays: general KW - Resolved and unresolved sources as a function of wavelength Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-526000 SN - 1866-8372 IS - 4 ER - TY - JOUR A1 - Vollbrecht, Joachim A1 - Brus, Viktor V. T1 - On charge carrier density in organic solar cells obtained via capacitance spectroscopy JF - Advanced electronic materials N2 - The determination of the voltage-dependent density of free charge carriers via capacitance spectroscopy is considered an important step in the analysis of emerging photovoltaic technologies, such as organic and perovskite solar cells. In particular, an intimate knowledge of the density of free charge carriers is required for the determination of crucial parameters such as the effective mobility, charge carrier lifetime, nongeminate recombination coefficients, average extraction times, and competition factors. Hence, it is paramount to verify the validity of the commonly employed approaches to obtain the density of free charge carriers. The advantages, drawbacks, and limitations of the most common approaches are investigated in detail and strategies to mitigate misleading values are explored. To this end, two types of nonfullerene organic solar cells based on a PTB7-Th:ITIC-2F blend and a PM6:Y6 blend, respectively, are used as a case study to assess how subsequent analyses of the nongeminate recombination dynamics depend on the chosen approach to calculate the density of free charge carriers via capacitance spectroscopy. KW - bulk-heterojunction solar cells KW - capacitance spectroscopy KW - charge KW - carrier density KW - impedance spectroscopy KW - organic photovoltaics Y1 - 2020 U6 - https://doi.org/10.1002/aelm.202000517 SN - 2199-160X VL - 6 IS - 10 PB - Wiley CY - Hoboken ER - TY - JOUR A1 - Vollbrecht, Joachim A1 - Brus, Viktor V. T1 - On the recombination order of surface recombination under open circuit conditions JF - Organic electronics : physics, materials and applications N2 - Understanding the recombination dynamics of organic and perovskite solar cells has been a crucial prerequisite in the steadily increasing performance of these promising new types of photovoltaics. Surface recombination in particular has turned out to be one of the last remaining roadblocks, which specifically reduces the open circuit voltage. In this study, the relationship between the rate of surface recombination and the density of charge carriers is analyzed, revealing a cubic dependence between these two parameters. This hypothesis is then tested and verified with the recombination dynamics of an organic solar cell known to exhibit significant surface recombination and a high energy proton irradiated CH3NH3PbI3 pemvskite solar cell during white light illumination. Incidentally, these results can also explain recombination orders exceeding the commonly known threshold for bimolecular recombination that have been observed in some studies without the need for a charge carrier dependent bimolecular recombination coefficient. KW - surface recombination KW - recombination order KW - organic photovoltaics KW - Perovskite solar cells KW - charge carrier density KW - Shockley-Read-Hall KW - statistics Y1 - 2020 U6 - https://doi.org/10.1016/j.orgel.2020.105905 SN - 1566-1199 SN - 1878-5530 VL - 86 PB - Elsevier Science CY - Amsterdam [u.a.] ER - TY - JOUR A1 - Chigarev, Vladimir A1 - Kazakov, Alexey A1 - Pikovsky, Arkady T1 - Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller JF - Chaos : an interdisciplinary journal of nonlinear science N2 - We consider several examples of dynamical systems demonstrating overlapping attractor and repeller. These systems are constructed via introducing controllable dissipation to prototypic models with chaotic dynamics (Anosov cat map, Chirikov standard map, and incompressible three-dimensional flow of the ABC-type on a three-torus) and ergodic non-chaotic behavior (skew-shift map). We employ the Kantorovich-Rubinstein-Wasserstein distance to characterize the difference between the attractor and the repeller, in dependence on the dissipation level. Y1 - 2020 U6 - https://doi.org/10.1063/5.0007230 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 7 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Holmes, Zoe A1 - Anders, Janet A1 - Mintert, Florian T1 - Enhanced energy transfer to an optomechanical piston from indistinguishable photons JF - Physical review letters N2 - Thought experiments involving gases and pistons, such as Maxwell's demon and Gibbs' mixing, are central to our understanding of thermodynamics. Here, we present a quantum thermodynamic thought experiment in which the energy transfer from two photonic gases to a piston membrane grows quadratically with the number of photons for indistinguishable gases, while it grows linearly for distinguishable gases. This signature of bosonic bunching may be observed in optomechanical experiments, highlighting the potential of these systems for the realization of thermodynamic thought experiments in the quantum realm. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevLett.124.210601 SN - 0031-9007 SN - 1079-7114 VL - 124 IS - 21 PB - American Physical Society CY - College Park, Md. ER - TY - JOUR A1 - Eberhard, Julius A1 - Schaik, N. Loes M. B. A1 - Schibalski, Anett A1 - Gräff, Thomas T1 - Simulating future salinity dynamics in a coastal marshland under different climate scenarios JF - Vadose zone journal N2 - Salinization is a well-known problem in agricultural areas worldwide. In the last 20-30 yr, rising salinity in the upper, unconfined aquifer has been observed in the Freepsumer Meer, a grassland near the German North Sea coast. For investigating long-term development of salinity and water balance during 1961-2099, the one-dimensional Soil-Water-Atmosphere-Plant (SWAP) model was set up and calibrated for a soil column in the area. The model setup involves a deep aquifer as the source of salt through upward seepage. In the vertical salt transport equation, dispersion and advection are included. Six different regional outputs of statistical downscaling methods were used as climate scenarios. These comprise different rates of increasing surface temperature and different trends in seasonal rainfall. The simulation results exhibit opposing salinity trends for topsoil and deeper layers. Although projections of some scenarios entail decreasing salinities near the surface, most of them project a rise in subsoil salinity, with the strongest trends of up to +0.9 mg cm(-3) 100 yr(-1) at -65 cm. The results suggest that topsoil salinity trends in the study area are affected by the magnitude of winter rainfall trends, whereas high subsoil salinities correspond to low winter rainfall and high summer temperature. How these projected trends affect the vegetation and thereby future land use will depend on the future management of groundwater levels in the area. Y1 - 2020 U6 - https://doi.org/10.1002/vzj2.20008 SN - 1539-1663 VL - 19 IS - 1 PB - Wiley CY - Hoboken ER - TY - JOUR A1 - Xu, Pengbo A1 - Deng, Weihua A1 - Sandev, Trifce T1 - Levy walk with parameter dependent velocity BT - hermite polynomial approach and numerical simulation JF - Journal of physics : A, Mathematical and theoretical N2 - To analyze stochastic processes, one often uses integral transform (Fourier and Laplace) methods. However, for the time-space coupled cases, e.g. the Levy walk, sometimes the integral transform method may fail. Here we provide a Hermite polynomial expansion approach, being complementary to the integral transform method, to the Levy walk. Two approaches are compared for some already known results. We also consider the generalized Levy walk with parameter dependent velocity. Namely, we consider the Levy walk with velocity which depends on the walking length or on the duration of each step. Some interesting features of the generalized Levy walk are observed, including the special shapes of the probability density function, the first passage time distributions, and various diffusive behaviors of the mean squared displacement. KW - Hermite polynomial expansion KW - Levy walk KW - anomalous diffusion KW - parameter KW - dependent velocity Y1 - 2020 U6 - https://doi.org/10.1088/1751-8121/ab7420 SN - 1751-8113 SN - 1751-8121 VL - 53 IS - 11 PB - IOP Publ. Ltd. CY - Bristol ER - TY - JOUR A1 - Schneider, Sebastian A1 - Hoffmann-Vogel, Regina T1 - Electrostatic forces above graphene nanoribbons and edges interpreted as partly hydrogen-free JF - Nanoscale N2 - Graphene nanoribbons' electronic transport properties strongly depend on the type of edge, armchair, zigzag or other, and on edge functionalization that can be used for band-gap engineering. For only partly hydrogenated edges interesting magnetic properties are predicted. Electric charge accumulates at edges and corners. Scanning force microscopy has so far shown the centre of graphene nanoribbons with atomic resolution using a quartz crystal tuning fork sensor of high stiffness. Weak long-range electrostatic forces related to the charge accumulation on the edges of graphene nanoribbons could not be imaged so far. Here, we show the electrostatic forces at the corners and edges of graphene nanoribbons are amenable to measurement. We use soft cantilevers and a bimodal imaging technique to combine enhanced sensitivity to weak long-range electrostatic forces with the high resolution of the second-frequency shift. Additionally, in our work the edges of the nanoribbons are mainly hydrogen-free, opening to the route to investigations of partly hydrogenated magnetic nanoribbons. Y1 - 2020 U6 - https://doi.org/10.1039/d0nr03348k SN - 2040-3364 SN - 2040-3372 VL - 12 IS - 34 SP - 17895 EP - 17901 PB - Royal Society of Chemistry CY - Cambridge ER - TY - JOUR A1 - Metje, Jan A1 - Lever, Fabiano A1 - Mayer, Dennis A1 - Squibb, Richard James A1 - Robinson, Matthew Scott A1 - Niebuhr, Mario A1 - Feifel, Raimund A1 - Düsterer, Stefan A1 - Gühr, Markus T1 - URSA-PQ BT - A Mobile and Flexible Pump-Probe Instrument for Gas Phase Samples at the FLASH Free Electron Laser JF - Applied Sciences N2 - We present a highly flexible and portable instrument to perform pump-probe spectroscopy with an optical and an X-ray pulse in the gas phase. The so-called URSA-PQ (German for ‘Ultraschnelle Röntgenspektroskopie zur Abfrage der Photoenergiekonversion an Quantensystemen’, Engl. ‘ultrafast X-ray spectroscopy for probing photoenergy conversion in quantum systems’) instrument is equipped with a magnetic bottle electron spectrometer (MBES) and tools to characterize the spatial and temporal overlap of optical and X-ray laser pulses. Its adherence to the CAMP instrument dimensions allows for a wide range of sample sources as well as other spectrometers to be included in the setup. We present the main design and technical features of the instrument. The MBES performance was evaluated using Kr M4,5NN Auger lines using backfilled Kr gas, with an energy resolution ΔE/E ≅ 1/40 in the integrating operative mode. The time resolution of the setup at FLASH 2 FL 24 has been characterized with the help of an experiment on 2-thiouracil that is inserted via the instruments’ capillary oven. We find a time resolution of 190 fs using the molecular 2p photoline shift and attribute this to different origins in the UV-pump—the X-ray probe setup. KW - X-ray probe KW - molecular dynamics KW - gas phase electron spectroscopy Y1 - 2020 U6 - https://doi.org/10.3390/app10217882 SN - 2076-3417 VL - 10 IS - 21 PB - MDPI CY - Basel ER - TY - GEN A1 - Metje, Jan A1 - Lever, Fabiano A1 - Mayer, Dennis A1 - Squibb, Richard James A1 - Robinson, Matthew Scott A1 - Niebuhr, Mario A1 - Feifel, Raimund A1 - Düsterer, Stefan A1 - Gühr, Markus T1 - URSA-PQ BT - A Mobile and Flexible Pump-Probe Instrument for Gas Phase Samples at the FLASH Free Electron Laser T2 - Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe N2 - We present a highly flexible and portable instrument to perform pump-probe spectroscopy with an optical and an X-ray pulse in the gas phase. The so-called URSA-PQ (German for ‘Ultraschnelle Röntgenspektroskopie zur Abfrage der Photoenergiekonversion an Quantensystemen’, Engl. ‘ultrafast X-ray spectroscopy for probing photoenergy conversion in quantum systems’) instrument is equipped with a magnetic bottle electron spectrometer (MBES) and tools to characterize the spatial and temporal overlap of optical and X-ray laser pulses. Its adherence to the CAMP instrument dimensions allows for a wide range of sample sources as well as other spectrometers to be included in the setup. We present the main design and technical features of the instrument. The MBES performance was evaluated using Kr M4,5NN Auger lines using backfilled Kr gas, with an energy resolution ΔE/E ≅ 1/40 in the integrating operative mode. The time resolution of the setup at FLASH 2 FL 24 has been characterized with the help of an experiment on 2-thiouracil that is inserted via the instruments’ capillary oven. We find a time resolution of 190 fs using the molecular 2p photoline shift and attribute this to different origins in the UV-pump—the X-ray probe setup. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1016 KW - X-ray probe KW - molecular dynamics KW - gas phase electron spectroscopy Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-483073 SN - 1866-8372 IS - 1016 ER - TY - JOUR A1 - Schulz, Christian A1 - Lieutenant, Klaus A1 - Xiao, Jie A1 - Hofmann, Tommy A1 - Wong, Deniz A1 - Habicht, Klaus T1 - Characterization of the soft X-ray spectrometer PEAXIS at BESSY II JF - Journal of synchrotron radiation N2 - The performance of the recently commissioned spectrometer PEAXIS for resonant inelastic soft X-ray scattering (RIXS) and X-ray photoelectron spectroscopy and its hosting beamline U41-PEAXIS at the BESSY II synchrotron are characterized. The beamline provides linearly polarized light from 180 eV to 1600 eV allowing for RIXS measurements in the range 200-1200 eV. The monochromator optics can be operated in different configurations to provide either high flux with up to 10(12) photons s(-1) within the focal spot at the sample or high energy resolution with a full width at half maximum of <40 meV at an incident photon energy of similar to 400 eV. The measured total energy resolution of the RIXS spectrometer is in very good agreement with theoretically predicted values obtained by ray-tracing simulations. PEAXIS features a 5 m-long RIXS spectrometer arm that can be continuously rotated about the sample position by 106 degrees within the horizontal photon scattering plane, thus enabling the study of momentum-transfer-dependent excitations. Selected scientific examples are presented to demonstrate the instrument capabilities, including measurements of excitations in single-crystalline NiO and in liquid acetone employing a fluid cell sample manipulator. Planned upgrades of the beamline and the RIXS spectrometer to further increase the energy resolution to similar to 100 meV at 1000 eV incident photon energy are discussed. KW - resonant inelastic X-ray scattering KW - X-ray photoelectron spectroscopy KW - soft X-ray spectroscopy KW - soft X-ray beamline KW - X-ray emission KW - X-ray KW - absorption KW - BESSY II Y1 - 2020 U6 - https://doi.org/10.1107/S1600577519014887 SN - 1600-5775 VL - 27 SP - 238 EP - 249 PB - International Union of Crystallography CY - Chester ER - TY - THES A1 - Müller, Jirka T1 - Untersuchungen zum flow-Erleben bei Experimenten als physikalische Lerngelegenheit N2 - In der vorliegenden Arbeit wird untersucht, in wie weit physikalische Experimente ein flow-Erleben bei Lernenden hervorrufen. Flow-Erleben wird als Motivationsursache gesehen und soll den Weg zu Freude und Glück darstellen. Insbesondere wegen dem oft zitierten Fachkräftemangel in naturwissenschaftlichen und technischen Berufen ist eine Motivationssteigerung in naturwissenschaftlichen Unterrichtsfächern wichtig. Denn trotz Leistungssteigerungen in internationalen Vergleichstests möchten in Deutschland deutlich weniger Schüler*innen einen solchen Beruf ergreifen als in anderen Industriestaaten. Daher gilt es, möglichst früh Schüler*innen für naturwissenschaftlich-technische Fächer zu begeistern und insbesondere im regelrecht verhassten Physikunterricht flow-Erleben zu erzeugen. Im Rahmen dieser Arbeit wird das flow-Erleben von Studierenden in klassischen Laborexperimenten und FELS (Forschend-Entdeckendes Lernen mit dem Smartphone) als Lernumgebung untersucht. FELS ist eine an die Lebenswelt der Schüler*innen angepasste Lernumgebung, in der sie mit Smartphones ihre eigene Lebenswelt experimentell untersuchen. Es zeigt sich, dass sowohl klassische Laborexperimente als auch in der Lebenswelt durchgeführte, smartphonebasierte Experimente flow-Erleben erzeugen. Allerdings verursachen die smartphonebasierten Experimente kaum Stressgefühle. Die in dieser Arbeit herausgefundenen Ergebnisse liefern einen ersten Ansatz, der durch Folgestudien erweitert werden sollte. N2 - The present work examines to what extent physical experiments induce a flow-experience in students. Experiencing flow is seen as a source of motivation and should represent the path to joy and happiness. In particular, because of the often-cited shortage of employees in the natural sciences and technical professions, increasing motivation in natural sciences subjects is important. Because despite performance increases in international comparative tests, significantly fewer students in Germany want to take up such a profession than in other industrialized countries. It is therefore important to get students enthusiastic about scientific and technical subjects as early as possible and, in particular, to create a flow experience in the downright hated physics class. In the context of this work, the flow-experience of students is examined as a learning environment in classic laboratory experiments and FELS (inquiry-based learning with the smartphone, based on the German term: Forschend-Entdeckendes Lernen mit dem Smartphone). FELS is a learning environment adapted to the students' living environment, in which they use smartphones to experimentally examine their own living environment. It turns out that both classic laboratory experiments and smartphone-based experiments create flow-experiences. However, the smartphone-based experiments hardly cause any feelings of stress. The results found in this work provide a first approach, which should be expanded through follow-up studies. T2 - Examining the flow-experience in experiments as a physical learning opportunity KW - Flow KW - Smartphone KW - Experimente KW - Physikdidaktik KW - FELS KW - Lernumgebung KW - blended learning KW - Forschend Entdeckendes Lernen KW - inquiry based learning KW - physics education KW - learning environment KW - experiment Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-482879 ER - TY - JOUR A1 - Yeste, Maria Pilar A1 - Primus, Philipp-Alexander A1 - Alcantara, Rodrigo A1 - Cauqui, Miguel Angel A1 - Calvino, Juan Jose A1 - Pintado, José María A1 - Blanco, Ginesa T1 - Surface characterization of two Ce0.62Zr0.38O2 mixed oxides with different reducibility JF - Applied surface science : a journal devoted to applied physics and chemistry of surfaces and interfaces N2 - This paper presents a study of the surface properties of two Ce/Zr mixed oxides with different reducibility, obtained by applying distinct thermal ageing treatments to an oxide with the composition Ce0.62Zr0.38O2. The surface composition was investigated by XPS. Chemical reactivity of the surface was studied by adsorption of the probe molecules CO2, D-2 and methanol. Nanostructural characterization was carried out by XRD, Raman and high-resolution Eu3+ spectroscopy (FLNS). The characterization showed only slight variations in surface composition and bulk Ce-Zr distribution, but hardy differences concerning the type and strength of acidic surface centres, as well as strong differences in the ability to dissociate hydrogen. Structural variations between both samples were identified by comparing the optical spectra of Eu3+ in surface doped samples. KW - Ce/Zr KW - Surface properties KW - Reactive adsorption KW - Hydrogen activation Y1 - 2020 U6 - https://doi.org/10.1016/j.apsusc.2019.144255 SN - 0169-4332 SN - 1873-5584 VL - 503 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Phuong, Le Quang A1 - Hosseini, Seyed Mehrdad A1 - Sandberg, Oskar J. A1 - Zou, Yingping A1 - Woo, Han Young A1 - Neher, Dieter A1 - Shoaee, Safa T1 - Quantifying quasi-fermi level splitting and open-circuit voltage losses in highly efficient nonfullerene organic solar cells JF - Solar RRL N2 - The power conversion efficiency (PCE) of state-of-the-art organic solar cells is still limited by significant open-circuit voltage (V-OC) losses, partly due to the excitonic nature of organic materials and partly due to ill-designed architectures. Thus, quantifying different contributions of the V-OC losses is of importance to enable further improvements in the performance of organic solar cells. Herein, the spectroscopic and semiconductor device physics approaches are combined to identify and quantify losses from surface recombination and bulk recombination. Several state-of-the-art systems that demonstrate different V-OC losses in their performance are presented. By evaluating the quasi-Fermi level splitting (QFLS) and the V-OC as a function of the excitation fluence in nonfullerene-based PM6:Y6, PM6:Y11, and fullerene-based PPDT2FBT:PCBM devices with different architectures, the voltage losses due to different recombination processes occurring in the active layers, the transport layers, and at the interfaces are assessed. It is found that surface recombination at interfaces in the studied solar cells is negligible, and thus, suppressing the non-radiative recombination in the active layers is the key factor to enhance the PCE of these devices. This study provides a universal tool to explain and further improve the performance of recently demonstrated high-open-circuit-voltage organic solar cells. KW - nonfullerene acceptors KW - organic solar cells KW - quasi-Fermi level KW - splitting KW - quasi-steady-state photoinduced absorptions KW - surface KW - recombinations KW - voltage losses Y1 - 2020 U6 - https://doi.org/10.1002/solr.202000649 SN - 2367-198X VL - 5 IS - 1 PB - Wiley-VCH CY - Weinheim ER - TY - JOUR A1 - Sandev, Trifce A1 - Iomin, Alexander A1 - Kocarev, Ljupco T1 - Hitting times in turbulent diffusion due to multiplicative noise JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - We study a distribution of times of the first arrivals to absorbing targets in turbulent diffusion, which is due to a multiplicative noise. Two examples of dynamical systems with a multiplicative noise are studied. The first one is a random process according to inhomogeneous diffusion, which is also known as a geometric Brownian motion in the Black-Scholes model. The second model is due to a random processes on a two-dimensional comb, where inhomogeneous advection is possible only along the backbone, while Brownian diffusion takes place inside the branches. It is shown that in both cases turbulent diffusion takes place as the one-dimensional random process with the log-normal distribution in the presence of absorbing targets, which are characterized by the Levy-Smirnov distribution for the first hitting times. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.102.042109 SN - 2470-0045 SN - 2470-0053 VL - 102 IS - 4 PB - American Institute of Physics CY - Woodbury, NY ER - TY - JOUR A1 - Massolt, Joost Willem A1 - Borowski, Andreas T1 - Perceived relevance of university physics problems by pre-service physics teachers BT - personal constructs JF - International journal of science education N2 - Pre-service physics teachers often do not recognise the relevance for their future career in their university content knowledge courses. A lower perceived relevance can, however, have a negative effect on their motivation and on their academic success. Several intervention studies have been undertaken with the goal to increase this perceived relevance. A previous study shows that conceptual physics problems used in university physics courses are perceived by pre-service physics teachers as more relevant for their future career than regular, quantitative problems. It is however not clear, what the students' meaning of the construct 'relevance' is: what makes a problem more relevant to them than another problem? To answer this question, N = 7 pre-service teachers were interviewed using the repertory grid technique, based on the personal construct theory. Nine physics problems were discussed with regards to their perceived relevance and with regards to problem properties that distinguish these problems from each other. We are able to identify six problem properties that have a positive influence on the perceived relevance. Physics problems that are based on these properties should therefore potentially have a higher perceived relevance, which can have a positive effect on the motivation of the pre-service teachers who solve these problems. KW - Motivation KW - physics education KW - pre-service teachers KW - repertory grid Y1 - 2020 U6 - https://doi.org/10.1080/09500693.2019.1705424 SN - 0950-0693 SN - 1464-5289 VL - 42 IS - 2 SP - 167 EP - 189 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Evsevleev, Sergei A1 - Paciornik, Sidnei A1 - Bruno, Giovanni T1 - Advanced deep learning-based 3D microstructural characterization of multiphase metal matrix composites JF - Advanced engineering materials N2 - The quantitative analysis of microstructural features is a key to understanding the micromechanical behavior of metal matrix composites (MMCs), which is a premise for their use in practice. Herein, a 3D microstructural characterization of a five-phase MMC is performed by synchrotron X-ray computed tomography (SXCT). A workflow for advanced deep learning-based segmentation of all individual phases in SXCT data is shown using a fully convolutional neural network with U-net architecture. High segmentation accuracy is achieved with a small amount of training data. This enables extracting unprecedently precise microstructural parameters (e.g., volume fractions and particle shapes) to be input, e.g., in micromechanical models. KW - computed tomography KW - convolutional neural networks KW - deep learning KW - metal KW - matrix composites KW - segmentations Y1 - 2020 U6 - https://doi.org/10.1002/adem.201901197 SN - 1438-1656 SN - 1527-2648 VL - 22 IS - 4 PB - Wiley-VCH CY - Weinheim ER - TY - JOUR A1 - Mishurova, Tatiana A1 - Bruno, Giovanni A1 - Evsevleev, Sergei A1 - Sevostianov, Igor T1 - Determination of macroscopic stress from diffraction experiments BT - a critical discussion JF - Journal of applied physics N2 - The paper is motivated by some inconsistencies and contradictions present in the literature on the calculation of the so-called diffraction elastic constants. In an attempt at unifying the views that the two communities of Materials Science and Mechanics of Materials have on the subject, we revisit and define the terminology used in the field. We also clarify the limitations of the commonly used approaches and show that a unified methodology is also applicable to textured materials with a nearly arbitrary grain shape. We finally compare the predictions based on this methodology with experimental data obtained by in situ synchrotron radiation diffraction on additively manufactured Ti-6Al-4V alloy. We show that (a) the transverse isotropy of the material yields good agreement between the best-fit isotropy approximation (equivalent to the classic Kroner's model) and the experimental data and (b) the use of a general framework allows the calculation of all components of the tensor of diffraction elastic constants, which are not easily measurable by diffraction methods. This allows us to extend the current state-of-the-art with a predictive tool. Y1 - 2020 U6 - https://doi.org/10.1063/5.0009101 SN - 0021-8979 SN - 1089-7550 VL - 128 IS - 2 PB - American Institute of Physics CY - Melville ER - TY - THES A1 - Massolt, Joost Willem T1 - Perceived relevance of physics problems BT - by pre-service physics teachers N2 - Pre-service physics teachers often have difficulties seeing the relevance of the content of the content knowledge courses they attend in their study; they regularly do not see the connection with the physics they need in their later profession as a secondary school teacher. A lower perceived relevance is however connected to motivational problems which leads to both a qualitative and quantitative problem: not only is there a relation between the drop-out of students and their motivation, but their level of conceptual understanding is also suffering under this lower motivation. In order to increase the perceived relevance of the problems that pre-service physics teachers have to solve for the courses Experimentalphysik 1 and 2, an intervention study has been designed and implemented. In these content knowledge courses, first- and second semester students attend lectures, do experiments and they solve problems on weekly problem sets which are discussed in tutorial sessions. The problems on a typical problem set are however mainly quantitative problems that have no connection to school. In the intervention study, regular, quantitative problems are used next to two newly designed conceptual (qualitative) problem types. One of these problem types are conceptual problems that have no implicit or explicit school-relevance; the other problems are based on school-related content knowledge. This content knowledge category describes knowledge that leads to a deeper understanding of school knowledge, relevant for teachers: a teacher-specific content knowledge. A new model for this category, SRCK, has been conceptualised and operationalised as a cross-disciplinary model that consists of conceptual knowledge and skills necessary for this deeper understanding of content that is relevant to teaching at a secondary school. During two semesters in both the courses Experimentalphysik 1 and 2 (N = 75 and N = 43 respectively) students had to solve the problems on the problem sets. At the start of every tutorial session, they were asked to rate all the problems with respect to perceived relevance and difficulty. Analyses show that the problems based on SRCK were perceived as more relevant than the regular, quantitative problems. However, this difference is only statistically significant for the course Experimentalphysik 2. The SRCK-problems show the connection between the content of the problems and school physics and are therefore seen as more relevant. In Experimentalphysik 1, the content is not that distant to school physics. This might be the reason that the students see all the problem types as just as relevant to them. When we however only look at the final third of the first semester, where more advanced subjects - that are not necessarily discussed in secondary school physics – are discussed, we see that in this part the SRCK-problems are seen as more relevant than the regular problems too. We can therefore conclude that if the content is distant to school physics, the SRCK-problems are seen as more relevant than the regular problems. We do not see a statistically significant difference between the (conceptual) problems based on SRCK and the conceptual problems that are not based on SRCK (and therefore have no school relevance). This means that we do not know whether the conceptual problems based on SRCK are more relevant because they are based on SRCK or because they are conceptual. In order to find out what problem properties have an influence on the perceived relevance of these problems by pre-service teachers, an interview study with N = 7 pre-service teachers was conducted. This interview was done using the repertory grid technique, based on the personal construct theory by Kelly (1955). This technique makes it possible to find personal constructs of students: how do students determine for themselves how relevant a problem is to them? It allows to capture their intuition or gut feeling. These personal constructs could then give us information about the problem properties that have a positive influence on relevance. Six categories of personal constructs were found that have a high similarity to relevance. According to the personal constructs that were generated in the interviews, physics problems are more relevant when they are more conceptual (compared to calculational), are close to everyday life, have a lower level of mathematical requirement, have a content that is more school-relevant, give the students the idea that they have learned something, and contain a situation that has to be analysed. Of the six problem properties described above, one can be connected to the facets of SRCK: many problems based on SRCK contain a situation (e.g. a textbook with a simplified explanation, a student solution with an error) that has to be analysed. The expectation is that problems that are based on the six properties described above would be perceived as more relevant to pre-service physics teachers. N2 - Lehramtsstudierenden Physik haben mitunter Schwierigkeiten, die Relevanz der Inhalte der notwendigen Fachwissensmodule für ihre spätere Profession zu erkennen. Sie sehen oft nicht den Zusammenhang mit der Physik, die sie in ihrem späteren Beruf als Physiklehrkraft brauchen. Eine geringere wahrgenommene Relevanz führt jedoch zu Motivationsproblemen, die sowohl zu einem qualitativen als auch zu einem quantitativen Problem führen: Nicht nur der Studienabbruch der Studierenden ist höher wegen der geringeren Motivation, sondern auch ihr konzeptuelles Verständnis leidet unter dieser geringeren Motivation. Um die wahrgenommene Relevanz der Aufgaben, die die Studierenden für die Lehrveranstaltungen Experimentalphysik 1 und 2 lösen müssen, zu erhöhen, wurde eine Interventionsstudie konzipiert und durchgeführt. Die Aufgaben auf einem typischen wöchentlichen Aufgabenzettel, die in Übungsgruppen diskutiert werden, sind jedoch hauptsächlich quantitative Probleme, die keinen Bezug zur Schule haben. In der Interventionsstudie werden neben diesen quantitativen Aufgaben zwei neu konzipierten konzeptionellen (qualitativen) Aufgabentypen verwendet. Einer dieser Aufgabentypen sind konzeptionelle Aufgaben, die keine explizite oder implizite Schulrelevanz haben; die anderen Aufgaben basieren auf der Fachwissenskategorie „erweitertes Fachwissen für den schulischen Kontext" (EFSK), die das berufsspezifische Fachwissen für Physiklehrkräfte beschreibt. EFSK wurde als interdisziplinäres Modell konzipiert und operationalisiert, das aus konzeptionellem Wissen und Fähigkeiten besteht, die für ein tieferes Verständnis von Inhalten, die für den Unterricht an einer Sekundarschule relevant sind, erforderlich sind. Die neu konzipierten Aufgaben wurden in zwei Semestern, sowohl für die Experimentalphysik 1 als auch für die Experimentalphysik 2 (mit N = 75 bzw. N = 43 Studierenden), eingesetzt. Am Anfang jeder Übung wurden die Studierenden gebeten, alle Aufgaben in Bezug auf die wahrgenommene Relevanz zu bewerten. Die wahrgenommene Relevanz der verschiedenen Aufgabentypen wurde dann miteinander verglichen. Das Ergebnis ist, dass die auf das EFSK basierenden Probleme als relevanter wahrgenommen werden als die regulären, quantitativen Probleme. Dieser Unterschied ist jedoch nur dann statistisch signifikant, wenn die Kursinhalte weiter entfernt von der schulischen Physik sind. Ein Unterschied zwischen den (konzeptionellen) Aufgaben auf Basis von EFSK und den konzeptionellen Aufgaben, die nicht auf EFSK basieren (und daher keine Schulrelevanz haben) wurde nicht festgestellt. Das bedeutet, dass es unklar ist, ob die konzeptionellen Aufgaben auf Basis von EFSK relevanter sind, weil sie auf EFSK basieren, oder weil sie konzeptionell sind. Die Physik Monofachstudierenden sehen keinen Unterschied zwischen den Aufgabentypen in Bezug auf die Relevanz. Für sie sind alle Probleme gleich relevant. Um herauszufinden, welche Aufgabeneigenschaften einen Einfluss auf die wahrgenommene Relevanz dieser Aufgaben von Lehramtsstudierende haben, wurde eine Interviewstudie mit N = 7 Lehramtsstudierenden durchgeführt. Diese Interviews wurden mit der Repertory Grid Technik durchgeführt, womit die persönlichen Konstrukte - mentale Darstellungen, die wir verwenden, um Ereignisse zu interpretieren - von Studierenden erfasst werden können: wie bestimmen die Studierenden selbst, mit Hilfe Ihrer Intuition oder Bauchgefühl, wie relevant ein Problem für sie ist? Diese persönlichen Konstrukte könnten uns dann Auskunft über die Aufgabeneigenschaften geben, die einen positiven Einfluss auf die Relevanz haben. Es wurden sechs Konstruktkategorien gefunden, die eine hohe Ähnlichkeit mit der Relevanz aufweisen. Nach den persönlichen Konstrukten, die in den Interviews generiert wurden, sind Aufgaben dann relevanter, wenn sie konzeptueller sind (im Vergleich zu rechnerisch), sie alltagsnäher sind, sie geringere mathematische Anforderungen haben, sie einen Inhalt haben, der schulrelevanter ist, sie den Studierenden die Idee geben, dass sie etwas gelernt haben, und in der Aufgabe eine Situation analysiert werden muss. Von den sechs oben beschriebenen Aufgabeneigenschaften kann eine mit den Facetten von EFSK in Verbindung gebracht werden: viele Probleme, die auf EFSK basieren, enthalten eine zu analysierende Situation. Es wird erwartet, dass Aufgaben, die auf den sechs oben beschriebenen Eigenschaften basieren, von Lehramtsstudierenden als relevanter wahrgenommen werden. T2 - Wahrgenommene Relevanz von Physikaufgaben KW - Physics Education KW - Physics Problems KW - Perceived Relevance KW - Repertory Grid KW - Experimental Physics KW - ​wahrgenommene Relevanz KW - Physikaufgaben KW - Experimentalphysik Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-472925 ER - TY - JOUR A1 - Makwana, Kirit D. A1 - Yan, Huirong T1 - Properties of magnetohydrodynamic modes in compressively driven plasma turbulence JF - Physical Review X N2 - We study properties of magnetohydrodynamic (MHD) eigenmodes by decomposing the data of MHD simulations into linear MHD modes-namely, the Alfven, slow magnetosonic, and fast magnetosonic modes. We drive turbulence with a mixture of solenoidal and compressive driving while varying the Alfven Mach number (M-A), plasma beta, and the sonic Mach number from subsonic to transsonic. We find that the proportion of fast and slow modes in the mode mixture increases with increasing compressive forcing. This proportion of the magnetosonic modes can also become the dominant fraction in the mode mixture. The anisotropy of the modes is analyzed by means of their structure functions. The Alfven-mode anisotropy is consistent with the Goldreich-Sridhar theory. We find a transition from weak to strong Alfvenic turbulence as we go from low to high M-A. The slow-mode properties are similar to the Alfven mode. On the other hand, the isotropic nature of fast modes is verified in the cases where the fast mode is a significant fraction of the mode mixture. The fast-mode behavior does not show any transition in going from low to high M-A. We find indications that there is some interaction between the different modes, and the properties of the dominant mode can affect the properties of the weaker modes. This work identifies the conditions under which magnetosonic modes can be a major fraction of turbulent astrophysical plasmas, including the regime of weak turbulence. Important astrophysical implications for cosmic-ray transport and magnetic reconnection are discussed. KW - Astrophysics KW - Plasma Physics Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevX.10.031021 SN - 2160-3308 VL - 10 IS - 3 PB - American Physical Society (APS) CY - College Park ER - TY - JOUR A1 - Kappel, David A1 - Sachse, Manuel A1 - Haack, David A1 - Otto, Katharina A. T1 - Discrete element modeling of boulder and cliff morphologies on comet 67P/Churyumov-Gerasimenko JF - Astronomy and astrophysics : an international weekly journal N2 - Context: Even after the Rosetta mission, some of the mechanical parameters of comet 67P/Churyumov-Gerasimenko's surface material are not yet well constrained. These parameters are needed to improve our understanding of cometary activity or for planning sample return missions. Aims: We study some of the physical processes involved in the formation of selected surface features and investigate the mechanical and geometrical parameters involved. Methods: Applying the discrete element method (DEM) in a low-gravity environment, we numerically simulated the surface layer particle dynamics involved in the formation of selected morphological features. The material considered is a mixture of polydisperse ice and dust spheres with inter-particle forces given by the Hertz contact model, translational friction, rolling friction, cohesion from unsintered contacts, and optionally due to bonds from ice sintering. We determined a working set of parameters that enables the simulations to be reasonably realistic and investigated morphological changes due to modifications thereof. Results: The selected morphological features are reasonably well reproduced using model materials with a tensile strength on the order of 1-10 Pa. Increasing the diameters of the spherical particles decreases the material strength, and increasing the friction leads to a more brittle but somewhat stronger material. High friction is required to make the material sufficiently brittle to match observations, which points to the presence of very rough, even angular particles. Reasonable seismic activity does not suffice to trigger the collapses of cliffs without material heterogeneities or structural defects. Conclusions: DEM modeling can be a powerful tool to investigate mechanical parameters of cometary surface material. However, many uncertainties arise from our limited understanding of particle shapes, spatial configurations, and size distributions, all on multiple length scales. Further numerical work, in situ measurements, and sample return missions are needed to better understand the mechanics of cometary material and cometary activity. KW - comets: general KW - comets: individual: 67P KW - Churyumov-Gerasimenko KW - methods: numerical Y1 - 2020 U6 - https://doi.org/10.1051/0004-6361/201937152 SN - 0004-6361 SN - 1432-0746 VL - 641 PB - EDP Sciences CY - Les Ulis ER - TY - GEN A1 - Makwana, Kirit D. A1 - Yan, Huirong T1 - Properties of magnetohydrodynamic modes in compressively driven plasma turbulence T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - We study properties of magnetohydrodynamic (MHD) eigenmodes by decomposing the data of MHD simulations into linear MHD modes-namely, the Alfven, slow magnetosonic, and fast magnetosonic modes. We drive turbulence with a mixture of solenoidal and compressive driving while varying the Alfven Mach number (M-A), plasma beta, and the sonic Mach number from subsonic to transsonic. We find that the proportion of fast and slow modes in the mode mixture increases with increasing compressive forcing. This proportion of the magnetosonic modes can also become the dominant fraction in the mode mixture. The anisotropy of the modes is analyzed by means of their structure functions. The Alfven-mode anisotropy is consistent with the Goldreich-Sridhar theory. We find a transition from weak to strong Alfvenic turbulence as we go from low to high M-A. The slow-mode properties are similar to the Alfven mode. On the other hand, the isotropic nature of fast modes is verified in the cases where the fast mode is a significant fraction of the mode mixture. The fast-mode behavior does not show any transition in going from low to high M-A. We find indications that there is some interaction between the different modes, and the properties of the dominant mode can affect the properties of the weaker modes. This work identifies the conditions under which magnetosonic modes can be a major fraction of turbulent astrophysical plasmas, including the regime of weak turbulence. Important astrophysical implications for cosmic-ray transport and magnetic reconnection are discussed. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1225 KW - mhd turbulence KW - star formation KW - simulations KW - Anisotropy KW - diffusion Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-531607 SN - 1866-8372 VL - 10 IS - 3 PB - American Physical Society (APS) CY - College Park ER - TY - THES A1 - Dunsing, Valentin T1 - Fluorescence fluctuation spectroscopy techniques to quantify molecular interactions and dynamics in complex biological systems N2 - Living cells rely on transport and interaction of biomolecules to perform their diverse functions. A powerful toolbox to study these highly dynamic processes in the native environment is provided by fluorescence fluctuation spectroscopy (FFS) techniques. In more detail, FFS takes advantage of the inherent dynamics present in biological systems, such as diffusion, to infer molecular parameters from fluctuations of the signal emitted by an ensemble of fluorescently tagged molecules. In particular, two parameters are accessible: the concentration of molecules and their transit times through the observation volume. In addition, molecular interactions can be measured by analyzing the average signal emitted per molecule - the molecular brightness - and the cross-correlation of signals detected from differently tagged species. In the present work, several FFS techniques were implemented and applied in different biological contexts. In particular, scanning fluorescence correlation spectroscopy (sFCS) was performed to measure protein dynamics and interactions at the plasma membrane (PM) of cells, and number and brightness (N&B) analysis to spatially map molecular aggregation. To account for technical limitations and sample related artifacts, e.g. detector noise, photobleaching, or background signal, several correction schemes were explored. In addition, sFCS was combined with spectral detection and higher moment analysis of the photon count distribution to resolve multiple species at the PM. Using scanning fluorescence cross-correlation spectroscopy and cross-correlation N&B, the interactions of amyloid precursor-like protein 1 (APLP1), a synaptic membrane protein, were investigated. It is shown for the first time directly in living cells, that APLP1 undergoes specific interactions at cell-cell contacts. It is further demonstrated that zinc ions induce formation of large APLP1 clusters that enrich at contact sites and bind to clusters on the opposing cell. Altogether, these results provide direct evidence that APLP1 is a zinc ion dependent neuronal adhesion protein. In the context of APLP1, discrepancies of oligomeric state estimates were observed, which were attributed to non-fluorescent states of the chosen red fluorescent protein (FP) tag mCardinal (mCard). Therefore, multiple FPs and their performance in FFS based measurements of protein interactions were systematically evaluated. The study revealed superior properties of monomeric enhanced green fluorescent protein (mEGFP) and mCherry2. Furthermore, a simple correction scheme allowed unbiased in situ measurements of protein oligomerization by quantifying non-fluorescent state fractions of FP tags. The procedure was experimentally confirmed for biologically relevant protein complexes consisting of up to 12 monomers. In the last part of this work, fluorescence correlation spectroscopy (FCS) and single particle tracking (SPT) were used to characterize diffusive transport dynamics in a bacterial biofilm model. Biofilms are surface adherent bacterial communities, whose structural organization is provided by extracellular polymeric substances (EPS) that form a viscous polymer hydrogel. The presented study revealed a probe size and polymer concentration dependent (anomalous) diffusion hindrance in a reconstituted EPS matrix system caused by polymer chain entanglement at physiological concentrations. This result indicates a meshwork-like organization of the biofilm matrix that allows free diffusion of small particles, but strongly hinders diffusion of larger particles such as bacteriophages. Finally, it is shown that depolymerization of the matrix by phage derived enzymes rapidly facilitated free diffusion. In the context of phage infections, such enzymes may provide a key to evade trapping in the biofilm matrix and promote efficient infection of bacteria. In combination with phage application, matrix depolymerizing enzymes may open up novel antimicrobial strategies against multiresistant bacterial strains, as a promising, more specific alternative to conventional antibiotics. N2 - Die Funktion lebender Zellen basiert auf Transport und Interaktion von Biomolekülen. Zur genauen Untersuchung dieser dynamischen Prozesse in lebenden Zellen eignen sich Fluoreszenzfluktuationsspektroskopieverfahren (FFS). Diese nutzen durch Diffusion oder andere Prozesse auftretende Fluktuationen, um Größen auf molekularer Skala durch statistische Analyse des Signals fluoreszenzmarkierter Moleküle zu ermitteln. Insbesondere können die Konzentration der Moleküle und ihre mittlere Verweildauer im Beobachtungsvolumen quantifiziert werden. Außerdem lassen sich molekulare Interaktionen anhand des mittleren Signals pro Molekül, der sogenannten molekularen Helligkeit, und der Kreuzkorrelation der Signale verschieden markierter Moleküle untersuchen. In der vorliegenden Arbeit wurden verschiedene FFS Methoden etabliert und zur Erforschung biologischer Prozesse genutzt. Um Dynamiken und Bindungsvorgänge an der Zellmembran zu untersuchen, wurde Fluoreszenzkorrelationsspektroskopie (FCS) unter Nutzung eines linearen Scanwegs (sFCS) verwendet. Außerdem wurde die Oligomerisierung von Proteinen mittels Number&Brightness (N&B) Analyse räumlich aufgelöst. Verschiedene Korrekturverfahren wurden validiert und angewandt, um die erhobenen Daten von Störquellen wie Bleichen der Fluorophore oder Hintergrundsignalen zu bereinigen sowie instrumentelle Größen wie Detektionsrauschen zu kalibrieren. Darüber hinaus konnten durch spektral aufgelöste Aufnahme des Fluoreszenzsignals sowie Analyse höherer statistischer Momente mehrere Molekülpopulationen gleichzeitig detektiert werden. Mittels Zweifarben-sFCS und -N&B wurde anschließend das Amyloidvorläuferprotein APLP1 untersucht, welches an Synapsen, den Kontaktstellen von Neuronen, lokalisiert. Mit dem verwendeten Ansatz konnte zum ersten Mal direkt in lebenden Zellen nachgewiesen werden, dass APLP1 spezifische Bindungen an Zellkontaktstellen eingeht. Des Weiteren konnte gezeigt werden, dass Zinkionen eine Anreicherung und verstärkte Interaktion von APLP1 induzieren. Diese Beobachtungen unterstützen die Hypothese, dass APLP1 die Adhäsion benachbarter Zellen vermittelt und diese Funktion konzentrationsabhängig durch Zinkionen reguliert wird. Zur Untersuchung von APLP1 wurde es genetisch mit Fluoreszenzproteinen wie dem rot fluoreszierenden Protein mCardinal fusioniert. Bei der Bestimmung des Oligomerisierungszustands von APLP1 ergaben sich unter Verwendung verschiedener Fluorophore unterschiedliche Ergebnisse. Diese deuteten darauf hin, dass ein Teil der mCardinal Proteine nicht fluoreszierte. Um zu einem tieferen Verständnis dieses Phänomens und dessen Einfluss auf Interaktionsmessungen zu gelangen, wurden häufig verwendete Fluoreszenzproteine systematisch evaluiert. Auf diese Weise konnten zwei Proteine identifiziert werden, grün fluoreszierendes mEGFP und rot fluoreszierendes mCherry2, die den geringsten Anteil an nicht fluoreszierenden Zuständen aufweisen und sich deshalb am besten für Interaktionsmessungen eignen. Mittels eines einfachen Korrekturschemas basierend auf der experimentellen Bestimmung des nicht fluoreszierenden Anteils konnten genaue Messungen des Oligomerisierungszustandes von Proteinen in lebenden Zellen vorgenommen werden, was für biologisch relevante Proteine mit bis zu 12 Untereinheiten erfolgreich gezeigt werden konnte. Im letzten Teil der Arbeit wurden Diffusionsvorgänge in bakteriellen Biofilmen untersucht. Biofilme werden von Bakterienkolonien gebildet, die auf Oberflächen wachsen und beispielsweise zur Verbreitung multiresistenter Keime in Krankenhäusern beitragen. Bei der Bildung von Biofilmen spielen Polymere, die von Bakterien produziert werden, eine entscheidende Rolle. Diese füllen die Zwischenräume im Biofilm mit einer Art Gel, der sogenannten Biofilmmatrix. Anhand von FCS und Einzelpartikelverfolgung konnte gezeigt werden, dass Diffusion von Partikeln in einem rekonstituierten Gel stark von deren Größe sowie der Konzentration der Polymere abhängt. Das untersuchte System bestand hierbei aus langkettigen Zuckermolekülen, die von Biofilmen aufgereinigt wurden und als Modellsystem für die Biofilmmatrix dienten. Im physiologischen Konzentrationsbereich bildete sich ein Polymernetzwerk aus, durch das sich kleine Teilchen frei bewegen konnten, größere Partikel wie z.B. Bakteriophagen jedoch stark verlangsamt wurden. Dies lässt vermuten, dass die Biofilmmatrix die Funktion eines größenabhängigen Filters aufweist. Zersetzung der Polymere mittels Enzymen, die natürlich in Bakteriophagen vorkommen, führte zu freier Diffusion auch größerer Partikel. Die gewonnen Ergebnisse deuten darauf hin, dass solche Enzyme für Phagen eine Schlüsselfunktion besitzen, um Biofilme besser durchdringen und somit Bakterien effizienter infizieren zu können. In Kombination mit Bakteriophagen könnten (zielgerichtet optimierte) Enzyme dieser Art eine vielversprechende, spezifischere Alternative zu konventionellen Antibiotika bei der Bekämpfung multiresistenter Keime darstellen. T2 - Fluoreszenzfluktuationsspektroskopieverfahren zur Bestimmung molekularer Interaktionen und Dynamiken in komplexen biologischen Systemen KW - Fluorescence fluctuation spectroscopy KW - Fluoreszenzfluktuationsspektroskopie KW - Cell-cell adhesion KW - Zell-zell Adhäsion KW - fluorescent proteins KW - Fluoreszenzproteine KW - biofilms KW - Biofilme Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-478494 ER - TY - THES A1 - Mardoukhi, Yousof T1 - Random environments and the percolation model BT - non-dissipative fluctuations of random walk process on finite size clusters BT - Nicht-dissipative Fluktuationen des Random-Walk-Prozesses bei endlichen Clustern N2 - Percolation process, which is intrinsically a phase transition process near the critical point, is ubiquitous in nature. Many of its applications embrace a wide spectrum of natural phenomena ranging from the forest fires, spread of contagious diseases, social behaviour dynamics to mathematical finance, formation of bedrocks and biological systems. The topology generated by the percolation process near the critical point is a random (stochastic) fractal. It is fundamental to the percolation theory that near the critical point, a unique infinite fractal structure, namely the infinite cluster, would emerge. As de Gennes suggested, the properties of the infinite cluster could be deduced by studying the dynamical behaviour of the random walk process taking place on it. He coined the term the ant in the labyrinth. The random walk process on such an infinite fractal cluster exhibits a subdiffusive dynamics in the sense that the mean squared displacement grows as ~t2/dw, where dw, called the fractal dimension of the random walk path, is greater than 2. Thus, the random walk process on the infinite cluster is classified as a process exhibiting the properties of anomalous diffusions. Yet near the critical point, the infinite cluster is not the sole emergent topology, but it coexists with other clusters whose size is finite. Though finite, on specific length scales these finite clusters exhibit fractal properties as well. In this work, it is assumed that the random walk process could take place on these finite size objects as well. Bearing this assumption in mind requires one address the non-equilibrium initial condition. Due to the lack of knowledge on the propagator of the random walk process in stochastic random environments, a phenomenological correspondence between the renowned Ornstein-Uhlenbeck process and the random walk process on finite size clusters is established. It is elucidated that when an ensemble of these finite size clusters and the infinite cluster is considered, the anisotropy and size of these finite clusters effects the mean squared displacement and its time averaged counterpart to grow in time as ~t(d+df (t-2))/dw, where d is the embedding Euclidean dimension, df is the fractal dimension of the infinite cluster, and , called the Fisher exponent, is a critical exponent governing the power-law distribution of the finite size clusters. Moreover, it is demonstrated that, even though the random walk process on a specific finite size cluster is ergodic, it exhibits a persistent non-ergodic behaviour when an ensemble of finite size and the infinite clusters is considered. N2 - Der Perkolationprozess, der nahe dem kritischen Punkt von Natur aus ein Phasenübergangsprozess ist, ist allgegenwärtig in der Natur. Anwendungen dieses Prozesses umfassen ein breites Spektrum natürliche Phänomene von Waldbränden, der Ausbreitung von Infektionskrankenheiten, Dynamik des Sozialverhaltens bis hin zu der Finanzmathematik, der Bildung des von Gestein und biologische Systemen. Die durch der Perkolationprozess nahe dem kritischen Punkt generierte Topologie, ist ein zufälliges (stochastisches) Fraktal. Es ist eine fundamentale Aussage der Perkolationtheorie, dass nahe dem kritischen Punkt eine eindeutige unendliche fraktale Struktur, nämlich der unendliche Cluster, aufkommt. Wie de Gennes vorgeschlagen hat, können die Eigenschaften des unendliches Clusters durch die Dynamik der Irrfahrt, die auf dem Cluster stattfindet, abgeleitet werden. Er erfand den Ausdruck \textit{the ant in the labyrinth}. Die Irrfahrt auf solchen unendlichen fraktalen Clustern weist eine subdiffusive Dynamik auf, in dem Sinne, dass ihre mittlere quadratische Verschiebung wie $\sim t^{d_w}$ skaliert, wobei $d_w$, genannt die fraktale Dimension der Zufallsbewegung, größer als 2 ist. Auf diese Weise wird die Irrfahrt auf dem unendlichen Cluster als ein Prozess, der die Eigenschaften von anomaler Diffusion aufweist, klassifiziert. Der unendliche Cluster ist allerdings nicht die einzige entstehende Topologie nahe dem kritischen Punkt. Tatsächlich, koexistiert er mit anderen Clustern deren Größe endlich ist. Obwohl sie endlich sind, weisen sie auf bestimmten Längenmaßen fraktale Eigenschaften auf. In dieser Arbeit wird angenommen, dass die Irrfahrt auch auf diesen Clustern stattfinden könnte. Diese Annahme verlangt, dass die Nichtgleichgewichts-Anfangsbedingung diskutiert wird. Aufgrund der mangelnden Kenntnisse über den Propagator der Irrfahrt in stochastischen Umgebungen, wird in diese Arbeit eine phänomenologische Übereinstimmung zwischen dem bekannten Ornstein-Uhlenbeck Prozess und der Irrfahrt auf dem endlichen Cluster hergestellt. Es wird erläutert, dass, wenn ein Ensemble von endlichen und unendlichen Clustern zusammen betrachtet wird, die Anisotropie und Größe der endlichen Cluster dazu führen, dass die mittlere quadratische Verschiebung und ihr zeitgemittlertes Gegenteil mit der Zeit wie $\sim t^{(d+d_f(\tau-2))/d_w}$ wachsen, wobei $d$ die euklidische Einbettungsdimension ist, $d_f$ die fraktale Dimension und $\tau$, genannt der \textit{Fisher Exponent}, ein kritischer Exponent ist, der die Power-Law Verteilung der Clustergröße angibt. Es wird außerdem dargestellt dass, obwohl die Irrfahrt auf einem bestimmten endlichen Cluster ergodisch ist, er dennoch ein unergodisches Verhalten aufweist, wenn ein Ensemble von endlichen und unendlichen Cluster betrachtet wird. T2 - Zufallsumgebungen und das Perkolationsmodell KW - Percolation KW - Random Environments KW - Fractals KW - Random Walk KW - Ornstein-Uhlenbeck Process KW - Perkolation KW - Zufällige Umgebungen KW - Fraktale KW - Zufällige Stochastische Irrfahrt KW - Ornstein-Uhlenbeck Prozess Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-472762 ER - TY - JOUR A1 - Chen, Cong A1 - Müller, Bernd R. A1 - Prinz, Carsten A1 - Stroh, Julia A1 - Feldmann, Ines A1 - Bruno, Giovanni T1 - The correlation between porosity characteristics and the crystallographic texture in extruded stabilized aluminium titanate for diesel particulate filter applications JF - Journal of the European Ceramic Society N2 - Porous ceramic diesel particulate filters (DPFs) are extruded products that possess macroscopic anisotropic mechanical and thermal properties. This anisotropy is caused by both morphological features (mostly the orientation of porosity) and crystallographic texture. We systematically studied those two aspects in two aluminum titanate ceramic materials of different porosity using mercury porosimetry, gas adsorption, electron microscopy, X-ray diffraction, and X-ray refraction radiography. We found that a lower porosity content implies a larger isotropy of both the crystal texture and the porosity orientation. We also found that, analogous to cordierite, crystallites do align with their axis of negative thermal expansion along the extrusion direction. However, unlike what found for cordierite, the aluminium titanate crystallite form is such that a more pronounced (0 0 2) texture along the extrusion direction implies porosity aligned perpendicular to it. KW - preferred orientation KW - X-ray refraction KW - pore orientation KW - crystal KW - structure KW - extrusion KW - microstructure-property relations Y1 - 2020 U6 - https://doi.org/10.1016/j.jeurceramsoc.2019.11.076 SN - 0955-2219 SN - 1873-619X VL - 40 IS - 4 SP - 1592 EP - 1601 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Seroussi, Helene A1 - Nowicki, Sophie A1 - Payne, Antony J. A1 - Goelzer, Heiko A1 - Lipscomb, William H. A1 - Abe-Ouchi, Ayako A1 - Agosta, Cecile A1 - Albrecht, Torsten A1 - Asay-Davis, Xylar A1 - Barthel, Alice A1 - Calov, Reinhard A1 - Cullather, Richard A1 - Dumas, Christophe A1 - Galton-Fenzi, Benjamin K. A1 - Gladstone, Rupert A1 - Golledge, Nicholas R. A1 - Gregory, Jonathan M. A1 - Greve, Ralf A1 - Hattermann, Tore A1 - Hoffman, Matthew J. A1 - Humbert, Angelika A1 - Huybrechts, Philippe A1 - Jourdain, Nicolas C. A1 - Kleiner, Thomas A1 - Larour, Eric A1 - Leguy, Gunter R. A1 - Lowry, Daniel P. A1 - Little, Chistopher M. A1 - Morlighem, Mathieu A1 - Pattyn, Frank A1 - Pelle, Tyler A1 - Price, Stephen F. A1 - Quiquet, Aurelien A1 - Reese, Ronja A1 - Schlegel, Nicole-Jeanne A1 - Shepherd, Andrew A1 - Simon, Erika A1 - Smith, Robin S. A1 - Straneo, Fiammetta A1 - Sun, Sainan A1 - Trusel, Luke D. A1 - Van Breedam, Jonas A1 - van de Wal, Roderik S. W. A1 - Winkelmann, Ricarda A1 - Zhao, Chen A1 - Zhang, Tong A1 - Zwinger, Thomas T1 - ISMIP6 Antarctica BT - a multi-model ensemble of the Antarctic ice sheet evolution over the 21st century JF - The Cryosphere : TC ; an interactive open access journal of the European Geosciences Union N2 - Ice flow models of the Antarctic ice sheet are commonly used to simulate its future evolution in response to different climate scenarios and assess the mass loss that would contribute to future sea level rise. However, there is currently no consensus on estimates of the future mass balance of the ice sheet, primarily because of differences in the representation of physical processes, forcings employed and initial states of ice sheet models. This study presents results from ice flow model simulations from 13 international groups focusing on the evolution of the Antarctic ice sheet during the period 2015-2100 as part of the Ice Sheet Model Intercomparison for CMIP6 (ISMIP6). They are forced with outputs from a subset of models from the Coupled Model Intercomparison Project Phase 5 (CMIP5), representative of the spread in climate model results. Simulations of the Antarctic ice sheet contribution to sea level rise in response to increased warming during this period varies between 7:8 and 30.0 cm of sea level equivalent (SLE) under Representative Concentration Pathway (RCP) 8.5 scenario forcing. These numbers are relative to a control experiment with constant climate conditions and should therefore be added to the mass loss contribution under climate conditions similar to present-day conditions over the same period. The simulated evolution of the West Antarctic ice sheet varies widely among models, with an overall mass loss, up to 18.0 cm SLE, in response to changes in oceanic conditions. East Antarctica mass change varies between 6 :1 and 8.3 cm SLE in the simulations, with a significant increase in surface mass balance outweighing the increased ice discharge under most RCP 8.5 scenario forcings. The inclusion of ice shelf collapse, here assumed to be caused by large amounts of liquid water ponding at the surface of ice shelves, yields an additional simulated mass loss of 28mm compared to simulations without ice shelf collapse. The largest sources of uncertainty come from the climate forcing, the ocean-induced melt rates, the calibration of these melt rates based on oceanic conditions taken outside of ice shelf cavities and the ice sheet dynamic response to these oceanic changes. Results under RCP 2.6 scenario based on two CMIP5 climate models show an additional mass loss of 0 and 3 cm of SLE on average compared to simulations done under present-day conditions for the two CMIP5 forcings used and display limited mass gain in East Antarctica. Y1 - 2020 U6 - https://doi.org/10.5194/tc-14-3033-2020 SN - 1994-0416 SN - 1994-0424 VL - 14 IS - 9 SP - 3033 EP - 3070 PB - Copernicus CY - Göttingen ER - TY - JOUR A1 - Fernandez, Ricardo A1 - Bruno, Giovanni A1 - Garces, Gerardo A1 - Nieto-Luis, H. A1 - Gonzalez-Doncel, Gaspar T1 - Fractional brownian motion of dislocations during creep deformation of metals JF - Materials science & engineering. A, Structural materials N2 - The present work offers an explanation on how the long-range interaction of dislocations influences their movement, and therefore the strain, during creep of metals. It is proposed that collective motion of dislocations can be described as a fractional Brownian motion. This explains the noisy appearance of the creep strain signal as a function of time. Such signal is split into a deterministic and a stochastic part. These terms can be related to two kinds of dislocation motions: individual and collective, respectively. The description is consistent with the fractal nature of strain-induced dislocation structures predicated in previous works. Moreover, it encompasses the evolution of the strain rate during all stages of creep, including the tertiary one. Creep data from Al99.8% and Al3.85%Mg tested at different temperatures and stresses are used to validate the proposed ideas: it is found that different creep stages present different diffusion characters, and therefore different dislocation motion character. KW - Creep KW - Aluminum alloys KW - Dislocation motion KW - Diffusion KW - Fractal KW - structures Y1 - 2020 U6 - https://doi.org/10.1016/j.msea.2020.140013 SN - 0921-5093 SN - 1873-4936 VL - 796 PB - Elsevier CY - Lausanne ER - TY - JOUR A1 - Laquai, Rene A1 - Müller, Bernd R. A1 - Schneider, Judith Ann A1 - Kupsch, Andreas A1 - Bruno, Giovanni T1 - Using SXRR to probe the nature of discontinuities in SLM additive manufactured inconel 718 specimens JF - Metallurgical and Materials Transactions A N2 - The utilization of additive manufacturing (AM) to fabricate robust structural components relies on understanding the nature of internal anomalies or discontinuities, which can compromise the structural integrity. While some discontinuities in AM microstructures stem from similar mechanisms as observed in more traditional processes such as casting, others are unique to the AM process. Discontinuities in AM are challenging to detect, due to their submicron size and orientation dependency. Toward the goal of improving structural integrity, minimizing discontinuities in an AM build requires an understanding of the mechanisms of formation to mitigate their occurrence. This study utilizes various techniques to evaluate the shape, size, nature and distribution of discontinuities in AM Inconel 718, in a non-hot isostatic pressed (HIPed) as-built, non-HIPed and direct age, and HIPed with two step age samples. Non-destructive synchrotron radiation refraction and transmission radiography (SXRR) provides additional information beyond that obtained with destructive optical microscopy. SXRR was able to distinguish between voids, cracks and lack of melt in, due to its sensitivity to the orientation of the discontinuity. Y1 - 2020 U6 - https://doi.org/10.1007/s11661-020-05847-5 SN - 1073-5623 SN - 1543-1940 VL - 51 IS - 8 SP - 4146 EP - 4157 PB - Springer CY - New York ER - TY - JOUR A1 - Fernandez, Ricardo A1 - Gonzalez-Doncel, Gaspar A1 - Garces, Gerardo A1 - Bruno, Giovanni T1 - Towards a comprehensive understanding of creep BT - microstructural dependence of the pre-exponential term in Al JF - Materials science & engineering. A, Structural materials: properties, microstructure and processing N2 - We show that the equation proposed by Takeuchi and Argon to explain the creep behavior of Al-Mg solid solution can be used to describe also the creep behavior of pure aluminum. In this frame, it is possible to avoid the use of the classic pre-exponential fitting parameter in the power law equation to predict the minimum creep strain rate. The effect of the fractal arrangement of dislocations, developed at the mesoscale, must be considered to fully explain the experimental data. These ideas allow improving the recently introduced SSTC model, fully describing the primary and secondary creep regimes of aluminum alloys without the need for fitting. Creep data from commercially pure A199.8% and Al-Mg alloys tested at different temperatures and stresses are used to validate the proposed ideas. KW - creep KW - Aluminum alloys KW - dislocations KW - fractal KW - stress exponent Y1 - 2020 U6 - https://doi.org/10.1016/j.msea.2020.139036 SN - 0921-5093 SN - 1873-4936 VL - 776 PB - Elsevier CY - Lausanne ER - TY - JOUR A1 - Mishurova, Tatiana A1 - Sydow, Benjamin A1 - Thiede, Tobias A1 - Sizova, Irina A1 - Ulbricht, Alexander A1 - Bambach, Markus A1 - Bruno, Giovanni T1 - Residual stress and microstructure of a Ti-6Al-4V Wire Arc Additive Manufacturing hybrid demonstrator JF - Metals N2 - Wire Arc Additive Manufacturing (WAAM) features high deposition rates and, thus, allows production of large components that are relevant for aerospace applications. However, a lot of aerospace parts are currently produced by forging or machining alone to ensure fast production and to obtain good mechanical properties; the use of these conventional process routes causes high tooling and material costs. A hybrid approach (a combination of forging and WAAM) allows making production more efficient. In this fashion, further structural or functional features can be built in any direction without using additional tools for every part. By using a combination of forging basic geometries with one tool set and adding the functional features by means of WAAM, the tool costs and material waste can be reduced compared to either completely forged or machined parts. One of the factors influencing the structural integrity of additively manufactured parts are (high) residual stresses, generated during the build process. In this study, the triaxial residual stress profiles in a hybrid WAAM part are reported, as determined by neutron diffraction. The analysis is complemented by microstructural investigations, showing a gradient of microstructure (shape and size of grains) along the part height. The highest residual stresses were found in the transition zone (between WAAM and forged part). The total stress range showed to be lower than expected for WAAM components. This could be explained by the thermal history of the component. KW - residual stress KW - WAAM KW - Ti-6Al-4V KW - additive manufacturing KW - neutron KW - diffraction KW - hybrid manufacturing Y1 - 2020 U6 - https://doi.org/10.3390/met10060701 SN - 2075-4701 VL - 10 IS - 6 PB - MDPI CY - Basel ER - TY - JOUR A1 - Oesch, Tyler A1 - Weise, Frank A1 - Bruno, Giovanni T1 - Detection and quantification of cracking in concrete aggregate through virtual data fusion of X-ray computed tomography images JF - Materials N2 - In this work, which is part of a larger research program, a framework called "virtual data fusion" was developed to provide an automated and consistent crack detection method that allows for the cross-comparison of results from large quantities of X-ray computed tomography (CT) data. A partial implementation of this method in a custom program was developed for use in research focused on crack quantification in alkali-silica reaction (ASR)-sensitive concrete aggregates. During the CT image processing, a series of image analyses tailored for detecting specific, individual crack-like characteristics were completed. The results of these analyses were then "fused" in order to identify crack-like objects within the images with much higher accuracy than that yielded by any individual image analysis procedure. The results of this strategy demonstrated the success of the program in effectively identifying crack-like structures and quantifying characteristics, such as surface area and volume. The results demonstrated that the source of aggregate has a very significant impact on the amount of internal cracking, even when the mineralogical characteristics remain very similar. River gravels, for instance, were found to contain significantly higher levels of internal cracking than quarried stone aggregates of the same mineralogical type. KW - X-ray computed tomography (CT) KW - concrete KW - alkali-silica reaction (ASR) KW - ASR-sensitive aggregate KW - solubility test KW - specific surface area KW - crack KW - detection KW - automated image processing KW - damage quantification Y1 - 2020 U6 - https://doi.org/10.3390/ma13183921 SN - 1996-1944 VL - 13 IS - 18 PB - MDPI CY - Basel ER - TY - JOUR A1 - Léonard, Fabien A1 - Zhang, Zhen A1 - Krebs, Holger A1 - Bruno, Giovanni T1 - Structural and morphological quantitative 3D characterisation of ammonium nitrate prills by X-ray computed tomography JF - Materials N2 - The mixture of ammonium nitrate (AN) prills and fuel oil (FO), usually referred to as ANFO, is extensively used in the mining industry as a bulk explosive. One of the major performance predictors of ANFO mixtures is the fuel oil retention, which is itself governed by the complex pore structure of the AN prills. In this study, we present how X-ray computed tomography (XCT), and the associated advanced data processing workflow, can be used to fully characterise the structure and morphology of AN prills. We show that structural parameters such as volume fraction of the different phases and morphological parameters such as specific surface area and shape factor can be reliably extracted from the XCT data, and that there is a good agreement with the measured oil retention values. Importantly, oil retention measurements (qualifying the efficiency of ANFO as explosives) correlate well with the specific surface area determined by XCT. XCT can therefore be employed non-destructively; it can accurately evaluate and characterise porosity in ammonium nitrate prills, and even predict their efficiency. KW - ANFO KW - explosives KW - specific surface area KW - porosity KW - XCT KW - data processing Y1 - 2020 U6 - https://doi.org/10.3390/ma13051230 SN - 1996-1944 VL - 13 IS - 5 PB - MDPI CY - Basel ER - TY - JOUR A1 - Magkos, Sotirios A1 - Kupsch, Andreas A1 - Bruno, Giovanni T1 - Direct iterative reconstruction of computed tomography trajectories reconstruction from limited number of projections with DIRECTT JF - Review of scientific instruments : a monthly journal devoted to scientific instruments, apparatus, and techniques N2 - X-ray computed tomography has many applications in materials science and non-destructive testing. While the standard filtered back-projection reconstruction of the radiographic datasets is fast and simple, it typically fails in returning accurate results from missing or inconsistent projections. Among the alternative techniques that have been proposed to handle such data is the Direct Iterative REconstruction of Computed Tomography Trajectories (DIRECTT) algorithm. We describe a new approach to the algorithm, which significantly decreases the computational time while achieving a better reconstruction quality than that of other established algorithms. Y1 - 2020 U6 - https://doi.org/10.1063/5.0013111 SN - 0034-6748 SN - 1089-7623 SN - 1527-2400 VL - 91 IS - 10 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Rüdiger, Günther A1 - Küker, Manfred A1 - Käpylä, Petri J. T1 - Electrodynamics of turbulent fluids with fluctuating electric conductivity JF - Journal of plasma physics N2 - Consequences of fluctuating microscopic conductivity in mean-field electrodynamics of turbulent fluids are formulated and discussed. If the conductivity fluctuations are assumed to be uncorrelated with the velocity fluctuations then only the turbulence-originated magnetic diffusivity of the fluid is reduced and the decay time of a large-scale magnetic field or the cycle times of oscillating turbulent dynamo models are increased. If, however, the fluctuations of conductivity and flow in a certain well-defined direction are correlated, an additional diamagnetic pumping effect results, transporting the magnetic field in the opposite direction to the diffusivity flux vector . In the presence of global rotation, even for homogeneous turbulence fields, an alpha effect appears. If the characteristic values of the outer core of the Earth or the solar convection zone are applied, the dynamo number of the new alpha effect does not reach supercritical values to operate as an alpha(2)-dynamo but oscillating alpha Omega-dynamos with differential rotation are not excluded. KW - astrophysical plasmas KW - plasma flows Y1 - 2020 U6 - https://doi.org/10.1017/S0022377820000665 SN - 0022-3778 SN - 1469-7807 VL - 86 IS - 3 PB - Cambridge Univ. Press CY - London ER - TY - JOUR A1 - Wilkens, Martin T1 - AS TIME GOES BY. Rythmizität Zyklizität - Kategorien zeitlicher Stukturierung JF - Zyklizität & Rhythmik: eine multidisziplinäre Vorlesungsreihe Y1 - 2020 SN - 978-3-86464-169-5 SP - 71 EP - 84 PB - trafo CY - Berlin ER - TY - JOUR A1 - Xu, Yong A1 - Liu, Xuemei A1 - Li, Yongge A1 - Metzler, Ralf T1 - Heterogeneous diffusion processes and nonergodicity with Gaussian colored noise in layered diffusivity landscapes JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - Heterogeneous diffusion processes (HDPs) with space-dependent diffusion coefficients D(x) are found in a number of real-world systems, such as for diffusion of macromolecules or submicron tracers in biological cells. Here, we examine HDPs in quenched-disorder systems with Gaussian colored noise (GCN) characterized by a diffusion coefficient with a power-law dependence on the particle position and with a spatially random scaling exponent. Typically, D(x) is considered to be centerd at the origin and the entire x axis is characterized by a single scaling exponent a. In this work we consider a spatially random scenario: in periodic intervals ("layers") in space D(x) is centerd to the midpoint of each interval. In each interval the scaling exponent alpha is randomly chosen from a Gaussian distribution. The effects of the variation of the scaling exponents, the periodicity of the domains ("layer thickness") of the diffusion coefficient in this stratified system, and the correlation time of the GCN are analyzed numerically in detail. We discuss the regimes of superdiffusion, subdiffusion, and normal diffusion realisable in this system. We observe and quantify the domains where nonergodic and non-Gaussian behaviors emerge in this system. Our results provide new insights into the understanding of weak ergodicity breaking for HDPs driven by colored noise, with potential applications in quenched layered systems, typical model systems for diffusion in biological cells and tissues, as well as for diffusion in geophysical systems. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevE.102.062106 SN - 2470-0045 SN - 2470-0053 VL - 102 IS - 6 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Keles, Engin A1 - Kitzmann, Daniel A1 - Mallonn, Matthias A1 - Alexoudi, Xanthippi A1 - Fossati, Luca A1 - Pino, Lorenzo A1 - Seidel, Julia Victoria A1 - Caroll, Thorsten A. A1 - Steffen, M. A1 - Ilyin, Ilya A1 - Poppenhäger, Katja A1 - Strassmeier, Klaus G. A1 - von Essen, Carolina A1 - Nascimbeni, Valerio A1 - Turner, Jake D. T1 - Probing the atmosphere of HD189733b with the Na i and K i lines JF - Monthly Notices of the Royal Astronomical Society N2 - High spectral resolution transmission spectroscopy is a powerful tool to characterize exoplanet atmospheres. Especially for hot Jupiters, this technique is highly relevant, due to their high-altitude absorption, e.g. from resonant sodium (Na i) and potassium (K i) lines. We resolve the atmospheric K i absorption on HD189733b with the aim to compare the resolved K i line and previously obtained high-resolution Na i-D line observations with synthetic transmission spectra. The line profiles suggest atmospheric processes leading to a line broadening of the order of ∼10 km/s for the Na i-D lines and only a few km/s for the K i line. The investigation hints that either the atmosphere of HD189733b lacks a significant amount of K i or the alkali lines probe different atmospheric regions with different temperature, which could explain the differences we see in the resolved absorption lines. Y1 - 2020 U6 - https://doi.org/10.1093/mnras/staa2435 VL - 498 IS - 1 SP - 1033 PB - Oxford Univ. Press CY - Oxford ER - TY - JOUR A1 - Capała, Karol A1 - Padash, Amin A1 - Chechkin, Aleksei V. A1 - Shokri, Babak A1 - Metzler, Ralf A1 - Dybiec, Bartłomiej T1 - Levy noise-driven escape from arctangent potential wells JF - Chaos : an interdisciplinary journal of nonlinear science N2 - The escape from a potential well is an archetypal problem in the study of stochastic dynamical systems, representing real-world situations from chemical reactions to leaving an established home range in movement ecology. Concurrently, Levy noise is a well-established approach to model systems characterized by statistical outliers and diverging higher order moments, ranging from gene expression control to the movement patterns of animals and humans. Here, we study the problem of Levy noise-driven escape from an almost rectangular, arctangent potential well restricted by two absorbing boundaries, mostly under the action of the Cauchy noise. We unveil analogies of the observed transient dynamics to the general properties of stationary states of Levy processes in single-well potentials. The first-escape dynamics is shown to exhibit exponential tails. We examine the dependence of the escape on the shape parameters, steepness, and height of the arctangent potential. Finally, we explore in detail the behavior of the probability densities of the first-escape time and the last-hitting point. Y1 - 2020 U6 - https://doi.org/10.1063/5.0021795 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 12 PB - American Institute of Physics CY - Woodbury, NY ER - TY - GEN A1 - Li, Yongge A1 - Mei, Ruoxing A1 - Xu, Yong A1 - Kurths, Jürgen A1 - Duan, Jinqiao A1 - Metzler, Ralf T1 - Particle dynamics and transport enhancement in a confined channel with position-dependent diffusivity T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - This work focuses on the dynamics of particles in a confined geometry with position-dependent diffusivity, where the confinement is modelled by a periodic channel consisting of unit cells connected by narrow passage ways. We consider three functional forms for the diffusivity, corresponding to the scenarios of a constant (D ₀), as well as a low (D ₘ) and a high (D d) mobility diffusion in cell centre of the longitudinally symmetric cells. Due to the interaction among the diffusivity, channel shape and external force, the system exhibits complex and interesting phenomena. By calculating the probability density function, mean velocity and mean first exit time with the Itô calculus form, we find that in the absence of external forces the diffusivity D d will redistribute particles near the channel wall, while the diffusivity D ₘ will trap them near the cell centre. The superposition of external forces will break their static distributions. Besides, our results demonstrate that for the diffusivity D d, a high dependence on the x coordinate (parallel with the central channel line) will improve the mean velocity of the particles. In contrast, for the diffusivity D ₘ, a weak dependence on the x coordinate will dramatically accelerate the moving speed. In addition, it shows that a large external force can weaken the influences of different diffusivities; inversely, for a small external force, the types of diffusivity affect significantly the particle dynamics. In practice, one can apply these results to achieve a prominent enhancement of the particle transport in two- or three-dimensional channels by modulating the local tracer diffusivity via an engineered gel of varying porosity or by adding a cold tube to cool down the diffusivity along the central line, which may be a relevant effect in engineering applications. Effects of different stochastic calculi in the evaluation of the underlying multiplicative stochastic equation for different physical scenarios are discussed. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 974 KW - diffusion KW - channel KW - space-dependent diffusivity Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-474542 SN - 1866-8372 IS - 974 ER -