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 - Zhong, Yufei A1 - Causa, Martina A1 - Moore, Gareth John A1 - Krauspe, Philipp A1 - Xiao, Bo A1 - Günther, Florian A1 - Kublitski, Jonas A1 - BarOr, Eyal A1 - Zhou, Erjun A1 - Banerji, Natalie T1 - Sub-picosecond charge-transfer at near-zero driving force in polymer:non-fullerene acceptor blends and bilayers JF - Nature Communications N2 - Organic photovoltaics based on non-fullerene acceptors (NFAs) show record efficiency of 16 to 17% and increased photovoltage owing to the low driving force for interfacial charge-transfer. However, the low driving force potentially slows down charge generation, leading to a tradeoff between voltage and current. Here, we disentangle the intrinsic charge-transfer rates from morphology-dependent exciton diffusion for a series of polymer:NFA systems. Moreover, we establish the influence of the interfacial energetics on the electron and hole transfer rates separately. We demonstrate that charge-transfer timescales remain at a few hundred femtoseconds even at near-zero driving force, which is consistent with the rates predicted by Marcus theory in the normal region, at moderate electronic coupling and at low re-organization energy. Thus, in the design of highly efficient devices, the energy offset at the donor:acceptor interface can be minimized without jeopardizing the charge-transfer rate and without concerns about a current-voltage tradeoff. KW - organic solar cell KW - electron-transfer KW - Donor-Acceptor (DA) interface KW - transfer dynamics KW - donor KW - seperation KW - efficiency KW - impact KW - energy KW - photovoltaics Y1 - 2020 U6 - https://doi.org/10.1038/s41467-020-14549-w SN - 2041-1723 VL - 11 IS - 1 SP - 1 EP - 10 PB - Nature Publishing Group UK CY - London ER - TY - GEN A1 - Zhong, Yufei A1 - Causa, Martina A1 - Moore, Gareth John A1 - Krauspe, Philipp A1 - Xiao, Bo A1 - Günther, Florian A1 - Kublitski, Jonas A1 - BarOr, Eyal A1 - Zhou, Erjun A1 - Banerji, Natalie T1 - Sub-picosecond charge-transfer at near-zero driving force in polymer:non-fullerene acceptor blends and bilayers T2 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - Organic photovoltaics based on non-fullerene acceptors (NFAs) show record efficiency of 16 to 17% and increased photovoltage owing to the low driving force for interfacial charge-transfer. However, the low driving force potentially slows down charge generation, leading to a tradeoff between voltage and current. Here, we disentangle the intrinsic charge-transfer rates from morphology-dependent exciton diffusion for a series of polymer:NFA systems. Moreover, we establish the influence of the interfacial energetics on the electron and hole transfer rates separately. We demonstrate that charge-transfer timescales remain at a few hundred femtoseconds even at near-zero driving force, which is consistent with the rates predicted by Marcus theory in the normal region, at moderate electronic coupling and at low re-organization energy. Thus, in the design of highly efficient devices, the energy offset at the donor:acceptor interface can be minimized without jeopardizing the charge-transfer rate and without concerns about a current-voltage tradeoff. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1422 KW - organic solar cell KW - electron-transfer KW - Donor-Acceptor (DA) interface KW - transfer dynamics KW - donor KW - seperation KW - efficiency KW - impact KW - energy KW - photovoltaics Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-511936 SN - 1866-8372 IS - 1 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 - 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 - 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 - 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 - Silanteva, Irina A. A1 - Komolkin, Andrei A1 - Mamontova, Veronika V. A1 - Vorontsov-Velyaminov, Pavel N. A1 - Santer, Svetlana A1 - Kasyanenko, Nina A. T1 - Some features of surfactant organization in DNA solutions at various NaCl concentrations JF - ACS omega / American Chemical Society N2 - The photosensitive azobenzene-containing surfactant C-4-Azo-OC(6)TMAB is a promising agent for reversible DNA packaging in a solution. The simulation of the trans-isomer surfactant organization into associates in a solution with and without salt as well as its binding to DNA at different NaCl concentrations was carried out by molecular dynamics. Experimental data obtained by spectral and hydrodynamic methods were used to verify the results of simulation. It was shown that head-to-tail aggregates with close to antiparallel orientation of surfactant molecules were formed at certain NaCl and surfactant concentrations (below critical micelle concentration). Such aggregates have two positively charged ends, and therefore, they can be attracted to negatively charged DNA phosphates far located along the chain, as well as those that belong to different molecules. This contributes to the formation of intermolecular DNA-DNA contacts, and this way, the experimentally observed precipitation of DNA can be explained. Y1 - 2020 U6 - https://doi.org/10.1021/acsomega.0c01850 SN - 2470-1343 VL - 5 IS - 29 SP - 18234 EP - 18243 PB - ACS Publications CY - Washington ER - TY - JOUR A1 - Rosenau, Philip A1 - Pikovskij, Arkadij T1 - Solitary phase waves in a chain of autonomous oscillators JF - Chaos : an interdisciplinary journal of nonlinear science N2 - In the present paper, we study phase waves of self-sustained oscillators with a nearest-neighbor dispersive coupling on an infinite lattice. To analyze the underlying dynamics, we approximate the lattice with a quasi-continuum (QC). The resulting partial differential model is then further reduced to the Gardner equation, which predicts many properties of the underlying solitary structures. Using an iterative procedure on the original lattice equations, we determine the shapes of solitary waves, kinks, and the flat-like solitons that we refer to as flatons. Direct numerical experiments reveal that the interaction of solitons and flatons on the lattice is notably clean. All in all, we find that both the QC and the Gardner equation predict remarkably well the discrete patterns and their dynamics. Y1 - 2020 U6 - https://doi.org/10.1063/1.5144939 SN - 1054-1500 SN - 1089-7682 VL - 30 IS - 5 PB - American Institute of Physics, AIP CY - Melville, NY ER - TY - JOUR A1 - Raoufi, Meysam A1 - Hörmann, Ulrich A1 - Ligorio, Giovanni A1 - Hildebrandt, Jana A1 - Pätzel, Michael A1 - Schultz, Thorsten A1 - Perdigón-Toro, Lorena A1 - Koch, Norbert A1 - List-Kratochvil, Emil A1 - Hecht, Stefan A1 - Neher, Dieter T1 - Simultaneous effect of ultraviolet radiation and surface modification on the work function and hole injection properties of ZnO thin films JF - Physica Status Solidi. A , Applications and materials science N2 - The combined effect of ultraviolet (UV) light soaking and self-assembled monolayer deposition on the work function (WF) of thin ZnO layers and on the efficiency of hole injection into the prototypical conjugated polymer poly(3-hexylthiophen-2,5-diyl) (P3HT) is systematically investigated. It is shown that the WF and injection efficiency depend strongly on the history of UV light exposure. Proper treatment of the ZnO layer enables ohmic hole injection into P3HT, demonstrating ZnO as a potential anode material for organic optoelectronic devices. The results also suggest that valid conclusions on the energy-level alignment at the ZnO/organic interfaces may only be drawn if the illumination history is precisely known and controlled. This is inherently problematic when comparing electronic data from ultraviolet photoelectron spectroscopy (UPS) measurements carried out under different or ill-defined illumination conditions. KW - charge injection across hybrid interfaces KW - energy-level alignments KW - hybrid metal oxides KW - organic interfaces Y1 - 2020 U6 - https://doi.org/10.1002/pssa.201900876 SN - 1862-6300 SN - 1862-6319 VL - 217 IS - 5 SP - 1 EP - 6 PB - Wiley-VCH CY - Weinheim 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 - Zeitz, Maria A1 - Levermann, Anders A1 - Winkelmann, Ricarda T1 - Sensitivity of ice loss to uncertainty in flow law parameters in an idealized one-dimensional geometry JF - The Cryosphere : TC ; an interactive open access journal of the European Geosciences Union N2 - Acceleration of the flow of ice drives mass losses in both the Antarctic and the Greenland Ice Sheet. The projections of possible future sea-level rise rely on numerical ice-sheet models, which solve the physics of ice flow, melt, and calving. While major advancements have been made by the ice-sheet modeling community in addressing several of the related uncertainties, the flow law, which is at the center of most process-based ice-sheet models, is not in the focus of the current scientific debate. However, recent studies show that the flow law parameters are highly uncertain and might be different from the widely accepted standard values. Here, we use an idealized flow-line setup to investigate how these uncertainties in the flow law translate into uncertainties in flow-driven mass loss. In order to disentangle the effect of future warming on the ice flow from other effects, we perform a suite of experiments with the Parallel Ice Sheet Model (PISM), deliberately excluding changes in the surface mass balance. We find that changes in the flow parameters within the observed range can lead up to a doubling of the flow-driven mass loss within the first centuries of warming, compared to standard parameters. The spread of ice loss due to the uncertainty in flow parameters is on the same order of magnitude as the increase in mass loss due to surface warming. While this study focuses on an idealized flow-line geometry, it is likely that this uncertainty carries over to realistic three-dimensional simulations of Greenland and Antarctica. Y1 - 2020 U6 - https://doi.org/10.5194/tc-14-3537-2020 SN - 1994-0416 SN - 1994-0424 VL - 14 IS - 10 SP - 3537 EP - 3550 PB - Copernicus CY - Göttingen ER - TY - JOUR A1 - Simonova, Maria A1 - Ivanov, Ivan A1 - Meleshko, Tamara A1 - Kopyshev, Alexey A1 - Santer, Svetlana A1 - Yakimansky, Alexander A1 - Filippov, Alexander T1 - Self-assembly of molecular brushes with polyimide backbone and amphiphilic block copolymer side chains in selective solvents JF - Polymers N2 - Three-component molecular brushes with a polyimide backbone and amphiphilic block copolymer side chains with different contents of the "inner" hydrophilic (poly(methacrylic acid)) and "outer" hydrophobic (poly(methyl methacrylate)) blocks were synthesized and characterized by molecular hydrodynamics and optics methods in solutions of chloroform, dimethylformamide, tetrahydrofuran and ethanol. The peculiarity of the studied polymers is the amphiphilic structure of the grafted chains. The molar masses of the molecular brushes were determined by static and dynamic light scattering in chloroform in which polymers form molecularly disperse solutions. Spontaneous self-assembly of macromolecules was detected in dimethylformamide, tetrahydrofuran and ethanol. The aggregates size depended on the thermodynamic quality of the solvent as well as on the macromolecular architectural parameters. In dimethylformamide and tetrahydrofuran, the distribution of hydrodynamic radii of aggregates was bimodal, while in ethanol, it was unimodal. Moreover, in ethanol, an increase in the poly(methyl methacrylate) content caused a decrease in the hydrodynamic radius of aggregates. A significant difference in the nature of the blocks included in the brushes determines the selectivity of the used solvents, since their thermodynamic quality with respect to the blocks is different. The macromolecules of the studied graft copolymers tend to self-organization in selective solvents with formation of a core-shell structure with an insoluble solvophobic core surrounded by the solvophilic shell of side chains. KW - molecular brushes KW - amphiphilic side chains KW - molecular hydrodynamics and KW - optics KW - conformational and hydrodynamic characteristics KW - aggregation Y1 - 2020 U6 - https://doi.org/10.3390/polym12122922 SN - 2073-4360 VL - 12 IS - 12 PB - MDPI CY - Basel ER - TY - JOUR A1 - Gruner, David A1 - Barnes, Sydney A. T1 - Rotation periods for cool stars in the open cluster Ruprecht 147 (NGC 6774) Implications for gyrochronology JF - Astronomy and astrophysics : an international weekly journal N2 - Context: Gyrochronology allows the derivation of ages for cool main sequence stars based on their observed rotation periods and masses, or a suitable proxy thereof. It is increasingly well-explored for FGK stars, but requires further measurements for older ages and K - M-type stars. Aims: We study the 2.7 Gyr-old open cluster Ruprecht 147 to compare it with the previously-studied, but far more distant, NGC 6819 cluster, and especially to measure cooler stars than was previously possible there. Methods: We constructed an inclusive list of 102 cluster members from prior work, including Gaia DR2, and for which light curves were also obtained during Campaign 7 of the Kepler/K2 space mission. We placed them in the cluster color-magnitude diagram and checked the related information against appropriate isochrones. The light curves were then corrected for data systematics using Principal Component Analysis on all observed K2 C07 stars and subsequently subjected to periodicity analysis. Results: Periodic signals are found for 32 stars, 21 of which are considered to be both highly reliable and to represent single, or effectively single, Ru 147 stars. These stars cover the spectral types from late-F to mid-M stars, and they have periods ranging from 6 d - 33 d, allowing for a comparison of Ruprecht 147 to both other open clusters and to models of rotational spindown. The derived rotation periods connect reasonably to, overlap with, and extend to lower masses the known rotation period distribution of the 2.5 Gyr-old cluster NGC 6819. Conclusions: The data confirm that cool stars lie on a single surface in rotation period-mass-age space, and they simultaneously challenge its commonly assumed shape. The shape at the low mass region of the color-period diagram at the age of Ru 147 favors a recently-proposed model which requires a third mass-dependent timescale in addition to the two timescales required by a former model, suggesting that a third physical process is required to model rotating stars effectively. KW - stars: late-type KW - stars: low-mass KW - stars: rotation KW - stars: solar-type Y1 - 2020 U6 - https://doi.org/10.1051/0004-6361/202038984 SN - 0004-6361 SN - 1432-0746 VL - 644 PB - EDP Sciences CY - Les Ulis 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 - 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 - 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 - 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 - 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 - 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 -