@phdthesis{Hantschmann2023, author = {Hantschmann, Markus}, title = {Stimulated resonant inelastic X-ray scattering in transition metal systems}, doi = {10.25932/publishup-58476}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-584761}, school = {Universit{\"a}t Potsdam}, pages = {xv, 160}, year = {2023}, abstract = {With the implementation of intense, short pulsed light sources throughout the last years, the powerful technique of resonant inelastic X-ray scattering (RIXS) became feasible for a wide range of experiments within femtosecond dynamics in correlated materials and molecules. In this thesis I investigate the potential to bring RIXS into the fluence regime of nonlinear X-ray-matter interactions, especially focusing on the impact of stimulated scattering on RIXS in transition metal systems in a transmission spectroscopy geometry around transition metal L-edges. After presenting the RIXS toolbox and the capabilities of free electron laser light sources for ultrafast intense X-ray experiments, the thesis explores an experiment designed to understand the impact of stimulated scattering on diffraction and direct beam transmission spectroscopy on a CoPd multilayer system. The experiments require short X-ray pulses that can only be generated at free electron lasers (FEL). Here the pulses are not only short, but also very intense, which opens the door to nonlinear X-ray-matter interactions. In the second part of this thesis, we investigate observations in the nonlinear interaction regime, look at potential difficulties for classic spectroscopy and investigate possibilities to enhance the RIXS through stimulated scattering. Here, a study on stimulated RIXS is presented, where we investigate the light field intensity dependent CoPd demagnetization in transmission as well as scattering geometry. Thereby we show the first direct observation of stimulated RIXS as well as light field induced nonlinear effects, namely the breakdown of scattering intensity and the increase in sample transmittance. The topic is of ongoing interest and will just increase in relevance as more free electron lasers are planned and the number of experiments at such light sources will continue to increase in the near future. Finally we present a discussion on the accessibility of small DOS shifts in the absorption-band of transition metal complexes through stimulated resonant X-ray scattering. As these shifts occur for example in surface states this finding could expand the experimental selectivity of NEXAFS and RIXS to the detectability of surface states. We show how stimulation can indeed enhance the visibility of DOS shifts through the detection of stimulated spectral shifts and enhancements in this theoretical study. We also forecast the observation of stimulated enhancements in resonant excitation experiments at FEL sources in systems with a high density of states just below the Fermi edge and in systems with an occupied to unoccupied DOS ratio in the valence band above 1.}, language = {en} } @article{HenkelJacobStoppetal.2019, author = {Henkel, Carsten and Jacob, Georg and Stopp, Felix and Schmidt-Kaler, Ferdinand and Keil, Mark and Japha, Yonathan and Folman, Ron}, title = {Stern-Gerlach splitting of low-energy ion beams}, series = {New journal of physics : the open-access journal for physics}, volume = {21}, journal = {New journal of physics : the open-access journal for physics}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {1367-2630}, doi = {10.1088/1367-2630/ab36c7}, pages = {14}, year = {2019}, abstract = {We present a feasibility study with several magnetic field configurations for creating spin-dependent forces that can split a low-energy ion beam by the Stern-Gerlach (SG) effect. To the best of our knowledge, coherent spin-splittings of charged particles have yet to be realised. Our proposal is based on ion source parameters taken from a recent experiment that demonstrated single-ion implantation from a high-brightness ion source combined with a radio-frequency Paul trap. The inhomogeneous magnetic fields can be created by permanently magnetised microstructures or from current-carrying wires with sizes in the micron range, such as those recently used in a successful implementation of the SG effect with neutral atoms. All relevant forces (Lorentz force and image charges) are taken into account, and measurable splittings are found by analytical and numerical calculations.}, language = {en} } @article{Regenstein2022, author = {Regenstein, Wolfgang}, title = {Statistische Beschreibung des Resonanzenergietransfers in L{\"o}sungen}, doi = {10.25932/publishup-56500}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-565009}, pages = {23}, year = {2022}, abstract = {In resonance energy transfer, photons are transferred from an excited donor to an acceptor over an interaction distance. According to F{\"o}rster's quantum mechanical theory, this distance can be calculated using the overlap integral of the fluorescence spectrum of the donor and the absorption spectrum of the acceptor. Another possibility of determination is obtained with the help of statistical models, which are compiled in an overview. The distance can be determined by evaluating the extinction curve. In this work, a further statistical variant of the determination of the interaction radius is added and demonstrated in detail using an example.}, language = {de} } @article{Regenstein2022, author = {Regenstein, Wolfgang}, title = {Statistische Beschreibung des Resonanzenergietransfers in L{\"o}sungen}, edition = {2. Version}, doi = {10.25932/publishup-56597}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-565977}, pages = {23}, year = {2022}, abstract = {Beim Resonanzenergietransfer werden Fotonen von einem angeregten Donator {\"u}ber einen Wechselwirkungsabstand auf einen Akzeptor {\"u}bertragen. Nach der quantenmechanischen Theorie von F{\"O}RSTER kann dieser Abstand mit Hilfe des {\"U}berlappungsintegrals von Fluoreszenzspektrum des Donators und Absorp-tionsspektrum des Akzeptors berechnet werden. Eine andere M{\"o}glichkeit der Bestimmung erh{\"a}lt man mit Hilfe von statistischen Modellen, die in einem {\"U}berblick zusammengestellt sind. Dabei kann der Abstand durch Auswertung der L{\"o}schkurve bestimmt werden. In dieser Arbeit wird dazu eine weitere statistische Variante der Bestimmung des Wechselwirkungsradius hinzugef{\"u}gt und an einem Beispiel ausf{\"u}hrlich demonstriert.}, language = {de} } @article{GorobtsovMercurioBrenneretal.2017, author = {Gorobtsov, O. Yu. and Mercurio, G. and Brenner, G. and Lorenz, Ulf and Gerasimova, N. and Kurta, R. P. and Hieke, F. and Skopintsev, P. and Zaluzhnyy, I. and Lazarev, S. and Dzhigaev, D. and Rose, M. and Singer, A. and Wurth, W. and Vartanyants, I. A.}, title = {Statistical properties of a free-electron laser revealed by Hanbury Brown-Twiss interferometry}, series = {Physical review : A, Atomic, molecular, and optical physics}, volume = {95}, journal = {Physical review : A, Atomic, molecular, and optical physics}, number = {2}, publisher = {American Physical Society}, address = {College Park}, issn = {2469-9926}, doi = {10.1103/PhysRevA.95.023843}, pages = {16}, year = {2017}, abstract = {We present a comprehensive experimental analysis of statistical properties of the self-amplified spontaneous emission free-electron laser (FEL) FLASH by means of Hanbury Brown and Twiss interferometry. The experiments were performed at FEL wavelengths of 5.5, 13.4, and 20.8 nm. We determined the second-order intensity correlation function for all wavelengths and different operation conditions of FLASH. In all experiments a high degree of spatial coherence (above 50\%) was obtained. Our analysis performed in spatial and spectral domains provided us with the independent measurements of an average pulse duration of the FEL that were below 60 fs. To explain the complicated behavior of the second-order intensity correlation function we developed an advanced theoretical model that includes the presence of multiple beams and external positional jitter of the FEL pulses. By this analysis we determined that in one of the experiments external positional jitter was about 25\% of the beam size. We envision that methods developed in our study will be used widely for analysis and diagnostics of FEL radiation.}, language = {en} } @phdthesis{Zillmer2003, author = {Zillmer, R{\"u}diger}, title = {Statistical properties and scaling of the Lyapunov exponents in stochastic systems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-0001147}, school = {Universit{\"a}t Potsdam}, year = {2003}, abstract = {Die vorliegende Arbeit umfaßt drei Abhandlungen, welche allgemein mit einer stochastischen Theorie f{\"u}r die Lyapunov-Exponenten befaßt sind. Mit Hilfe dieser Theorie werden universelle Skalengesetze untersucht, die in gekoppelten chaotischen und ungeordneten Systemen auftreten. Zun{\"a}chst werden zwei zeitkontinuierliche stochastische Modelle f{\"u}r schwach gekoppelte chaotische Systeme eingef{\"u}hrt, um die Skalierung der Lyapunov-Exponenten mit der Kopplungsst{\"a}rke ('coupling sensitivity of chaos') zu untersuchen. Mit Hilfe des Fokker-Planck-Formalismus werden Skalengesetze hergeleitet, die von Ergebnissen numerischer Simulationen best{\"a}tigt werden. Anschließend wird gezeigt, daß 'coupling sensitivity' im Fall gekoppelter ungeordneter Ketten auftritt, wobei der Effekt sich durch ein singul{\"a}res Anwachsen der Lokalisierungsl{\"a}nge {\"a}ußert. Numerische Ergebnisse f{\"u}r gekoppelte Anderson-Modelle werden bekr{\"a}ftigt durch analytische Resultate f{\"u}r gekoppelte raumkontinuierliche Schr{\"o}dinger-Gleichungen. Das resultierende Skalengesetz f{\"u}r die Lokalisierungsl{\"a}nge {\"a}hnelt der Skalierung der Lyapunov-Exponenten gekoppelter chaotischer Systeme. Schließlich wird die Statistik der exponentiellen Wachstumsrate des linearen Oszillators mit parametrischem Rauschen studiert. Es wird gezeigt, daß die Verteilung des zeitabh{\"a}ngigen Lyapunov-Exponenten von der Normalverteilung abweicht. Mittels der verallgemeinerten Lyapunov-Exponenten wird der Parameterbereich bestimmt, in welchem die Abweichungen von der Normalverteilung signifikant sind und Multiskalierung wesentlich wird.}, language = {en} } @article{SeyrichAlirezaeizanjaniBetaetal.2018, author = {Seyrich, Maximilian and Alirezaeizanjani, Zahra and Beta, Carsten and Stark, Holger}, title = {Statistical parameter inference of bacterial swimming strategies}, series = {New journal of physics : the open-access journal for physics}, volume = {20}, journal = {New journal of physics : the open-access journal for physics}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {1367-2630}, doi = {10.1088/1367-2630/aae72c}, pages = {20}, year = {2018}, abstract = {We provide a detailed stochastic description of the swimming motion of an E. coli bacterium in two dimension, where we resolve tumble events in time. For this purpose, we set up two Langevin equations for the orientation angle and speed dynamics. Calculating moments, distribution and autocorrelation functions from both Langevin equations and matching them to the same quantities determined from data recorded in experiments, we infer the swimming parameters of E. coli. They are the tumble rate lambda, the tumble time r(-1), the swimming speed v(0), the strength of speed fluctuations sigma, the relative height of speed jumps eta, the thermal value for the rotational diffusion coefficient D-0, and the enhanced rotational diffusivity during tumbling D-T. Conditioning the observables on the swimming direction relative to the gradient of a chemoattractant, we infer the chemotaxis strategies of E. coli. We confirm the classical strategy of a lower tumble rate for swimming up the gradient but also a smaller mean tumble angle (angle bias). The latter is realized by shorter tumbles as well as a slower diffusive reorientation. We also find that speed fluctuations are increased by about 30\% when swimming up the gradient compared to the reversed direction.}, language = {en} } @article{KimShprits2019, author = {Kim, Kyung-Chan and Shprits, Yuri}, title = {Statistical Analysis of Hiss Waves in Plasmaspheric Plumes Using Van Allen Probe Observations}, series = {Journal of geophysical research : Space physics}, volume = {124}, journal = {Journal of geophysical research : Space physics}, number = {3}, publisher = {American Geophysical Union}, address = {Washington}, issn = {2169-9380}, doi = {10.1029/2018JA026458}, pages = {1904 -- 1915}, year = {2019}, abstract = {Plasmaspheric hiss waves commonly observed in high-density regions in the Earth's magnetosphere are known to be one of the main contributors to the loss of radiation belt electrons. There has been a lot of effort to investigate the distributions of hiss waves in the plasmasphere, while relatively little attention has been given to those in the plasmaspheric plume. In this study, we present for the first time a statistical analysis of the occurrence and the spatial distribution of wave amplitudes and wave normal angles for hiss waves in plumes using Van Allen Probes observations during the period of October 2012 to December 2016. Statistical results show that a wide range of hiss wave amplitudes in plumes from a few picotesla to >100 pT is observed, but a modest (<20 pT) wave amplitude is more commonly observed regardless of geomagnetic activity in both the midnight-to-dawn and dusk sector. By contrast, stronger amplitude hiss occurs preferentially during geomagnetically active times in the dusk sector. The wave normal angles are distributed over a broad range from 0° to 90° with a bimodal distribution: a quasi-field-aligned population (<20°) with an occurrence rate of <60\% and an oblique one (>50°) with a relative low occurrence rate of ≲20\%. Therefore, from a statistical point of view, we confirm that the hiss intensity (a few tens of picotesla) and field-aligned hiss wave adopted in previous simulation studies are a reasonable assumption but stress that the activity dependence of the wave amplitude should be considered.}, language = {en} } @article{ZeiskeSandbergZarrabietal.2022, author = {Zeiske, Stefan and Sandberg, Oskar J. and Zarrabi, Nasim and Wolff, Christian Michael and Raoufi, Meysam and Pe{\~n}a-Camargo, Francisco and Gutierrez-Partida, Emilio and Meredith, Paul and Stolterfoht, Martin and Armin, Ardalan}, title = {Static disorder in lead halide perovskites}, series = {The journal of physical chemistry letters}, volume = {13}, journal = {The journal of physical chemistry letters}, number = {31}, publisher = {American Chemical Society}, address = {Washington}, issn = {1948-7185}, doi = {10.1021/acs.jpclett.2c01652}, pages = {7280 -- 7285}, year = {2022}, abstract = {In crystalline and amorphous semiconductors, the temperature-dependent Urbach energy can be determined from the inverse slope of the logarithm of the absorption spectrum and reflects the static and dynamic energetic disorder. Using recent advances in the sensitivity of photocurrent spectroscopy methods, we elucidate the temperature-dependent Urbach energy in lead halide perovskites containing different numbers of cation components. We find Urbach energies at room temperature to be 13.0 +/- 1.0, 13.2 +/- 1.0, and 13.5 +/- 1.0 meV for single, double, and triple cation perovskite. Static, temperature-independent contributions to the Urbach energy are found to be as low as 5.1 ?+/- 0.5, 4.7 +/- 0.3, and 3.3 +/- 0.9 meV for the same systems. Our results suggest that, at a low temperature, the dominant static disorder in perovskites is derived from zero-point phonon energy rather than structural disorder. This is unusual for solution-processed semiconductors but broadens the potential application of perovskites further to quantum electronics and devices.}, language = {en} } @phdthesis{Kiel2012, author = {Kiel, Mareike}, title = {Static and ultrafast optical properties of nanolayered composites : gold nanoparticles embedded in polyelectrolytes}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61823}, school = {Universit{\"a}t Potsdam}, year = {2012}, abstract = {In the course of this thesis gold nanoparticle/polyelectrolyte multilayer structures were prepared, characterized, and investigated according to their static and ultrafast optical properties. Using the dip-coating or spin-coating layer-by-layer deposition method, gold-nanoparticle layers were embedded in a polyelectrolyte environment with high structural perfection. Typical structures exhibit four repetition units, each consisting of one gold-particle layer and ten double layers of polyelectrolyte (cationic+anionic polyelectrolyte). The structures were characterized by X-ray reflectivity measurements, which reveal Bragg peaks up to the seventh order, evidencing the high stratication of the particle layers. In the same measurements pronounced Kiessig fringes were observed, which indicate a low global roughness of the samples. Atomic force microscopy (AFM) images veried this low roughness, which results from the high smoothing capabilities of polyelectrolyte layers. This smoothing effect facilitates the fabrication of stratified nanoparticle/polyelectrolyte multilayer structures, which were nicely illustrated in a transmission electron microscopy image. The samples' optical properties were investigated by static spectroscopic measurements in the visible and UV range. The measurements revealed a frequency shift of the reflectance and of the plasmon absorption band, depending on the thickness of the polyelectrolyte layers that cover a nanoparticle layer. When the covering layer becomes thicker than the particle interaction range, the absorption spectrum becomes independent of the polymer thickness. However, the reflectance spectrum continues shifting to lower frequencies (even for large thicknesses). The range of plasmon interaction was determined to be in the order of the particle diameter for 10 nm, 20 nm, and 150 nm particles. The transient broadband complex dielectric function of a multilayer structure was determined experimentally by ultrafast pump-probe spectroscopy. This was achieved by simultaneous measurements of the changes in the reflectance and transmittance of the excited sample over a broad spectral range. The changes in the real and imaginary parts of the dielectric function were directly deduced from the measured data by using a recursive formalism based on the Fresnel equations. This method can be applied to a broad range of nanoparticle systems where experimental data on the transient dielectric response are rare. This complete experimental approach serves as a test ground for modeling the dielectric function of a nanoparticle compound structure upon laser excitation.}, language = {en} } @phdthesis{Koelsch2005, author = {K{\"o}lsch, Patrick}, title = {Static and dynamic properties of soluble surfactants at the air/water interface}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-5716}, school = {Universit{\"a}t Potsdam}, year = {2005}, abstract = {Amphiphilic molecules contain a hydrophilic headgroup and a hydrophobic tail. The headgroup is polar or ionic and likes water, the tail is typically an aliphatic chain that cannot be accommodated in a polar environment. The prevailing molecular asymmetry leads to a spontaneous adsorption of amphiphiles at the air/water or oil/water interfaces. As a result, the surface tension and the surface rheology is changed. Amphiphiles are important tools to deliberately modify the interfacial properties of liquid interfaces and enable new phenomena such as foams which cannot be formed in a pure liquid. In this thesis we investigate the static and dynamic properties of adsorption layers of soluble amphiphiles at the air/water interface, the so called Gibbs monolayers. The classical way for an investigation of these systems is based on a thermodynamic analysis of the equilibrium surface tension as a function of the bulk composition in the framework of Gibbs theory. However, thermodynamics does not provide any structural information and several recent publications challenge even fundamental text book concepts. The experimental investigation faces difficulties imposed by the low surface coverage and the presence of dissolved amphiphiles in the adjacent bulk phase. In this thesis we used a suite of techniques with the sensitivity to detect less than a monolayer of molecules at the air-water interface. Some of these techniques are extremely complex such as infrared visible sum frequency generation (IR-VIS SFG) spectroscopy or second harmonic generation (SHG). Others are traditional techniques, such as ellipsometry employed in new ways and pushed to new limits. Each technique probes selectively different parts of the interface and the combination provides a profound picture of the interfacial architecture. The first part of the thesis is dedicated to the distribution of ions at interfaces. Adsorption layers of ionic amphiphiles serve as model systems allowing to produce a defined surface charge. The charge of the monolayer is compensated by the counterions. As a result of a complex zoo of interactions there will be a defined distribution of ions at the interface, however, its experimental determination is a big scientific challenge. We could demonstrate that a combination of linear and nonlinear techniques gives direct insights in the prevailing ion distribution. Our investigations reveal specific ion effects which cannot be described by classical Poisson-Boltzmann mean field type theories. Adsorption layer and bulk phase are in thermodynamic equilibrium, however, it is important to stress that there is a constant molecular exchange between adsorbed and dissolved species. This exchange process is a key element for the understanding of some of the thermodynamic properties. An excellent way to study Gibbs monolayers is to follow the relaxation from a non-equilibrium to an equilibrium state. Upon compression amphiphiles must leave the adsorption layer and dissolve in the adjacent bulk phase. Upon expansion amphiphiles must adsorb at the interface to restore the equilibrium coverage. Obviously the frequency of the expansion and compression cycles must match the molecular exchange processes. At too low frequencies the equilibrium is maintained at all times. If the frequency is too fast the system behaves as a monolayer of insoluble surfactants. In this thesis we describe an unique variant of an oscillating bubble technique that measures precisely the real and imaginary part of the complex dilational modulus E in a frequency range up to 500 Hz. The extension of about two decades in the time domain in comparison to the conventional method of an oscillating drop is a tremendous achievement. The imaginary part of the complex dilational modulus E is a consequence of a dissipative process which is interpreted as an intrinsic surface dilational viscosity. The IR-VIS SFG spectra of the interfacial water provide a molecular interpretation of the underlying dissipative process.}, subject = {Nichtlineare Optik}, language = {en} } @article{HoermannZeiskePiersimonietal.2018, author = {H{\"o}rmann, Ulrich and Zeiske, Stefan and Piersimoni, Fortunato and Hoffmann, Lukas and Schlesinger, Raphael and Koch, Norbert and Riedl, Thomas and Andrienko, Denis and Neher, Dieter}, title = {Stark effect of hybrid charge transfer states at planar ZnO/organic interfaces}, series = {Physical review : B, Condensed matter and materials physics}, volume = {98}, journal = {Physical review : B, Condensed matter and materials physics}, number = {15}, publisher = {American Physical Society}, address = {College Park}, issn = {2469-9950}, doi = {10.1103/PhysRevB.98.155312}, pages = {9}, year = {2018}, abstract = {We investigate the bias dependence of the hybrid charge transfer state emission at planar heterojunctions between the metal oxide acceptor ZnO and three donor molecules. The electroluminescence peak energy linearly increases with the applied bias, saturating at high fields. Variation of the organic layer thickness and deliberate change of the ZnO conductivity through controlled photodoping allow us to confirm that this bias-induced spectral shift relates to the internal electric field in the organic layer rather than the filling of states at the hybrid interface. We show that existing continuum models overestimate the hole delocalization and propose a simple electrostatic model in which the linear and quadratic Stark effects are explained by the electrostatic interaction of a strongly polarizable molecular cation with its mirror image.}, language = {en} } @article{ZeuschnerWangDebetal.2022, author = {Zeuschner, Steffen Peer and Wang, Xi-Guang and Deb, Marwan and Popova, Elena and Malinowski, Gregory and Hehn, Michel and Keller, Niels and Berakdar, Jamal and Bargheer, Matias}, title = {Standing spin wave excitation in Bi}, series = {Physical review : B, Condensed matter and materials physics}, volume = {106}, journal = {Physical review : B, Condensed matter and materials physics}, number = {13}, publisher = {American Physical Society}, address = {College Park}, issn = {2469-9950}, doi = {10.1103/PhysRevB.106.134401}, pages = {9}, year = {2022}, abstract = {Based on micromagnetic simulations and experimental observations of the magnetization and lattice dynamics after the direct optical excitation of the magnetic insulator Bi : YIG or indirect excitation via an optically opaque Pt/Cu double layer, we disentangle the dynamical effects of magnetic anisotropy and magneto-elastic coupling. The strain and temperature of the lattice are quantified via modeling ultrafast x-ray diffraction data. Measurements of the time-resolved magneto-optical Kerr effect agree well with the magnetization dynamics simulated according to the excitation via two mechanisms: the magneto-elastic coupling to the experimentally verified strain dynamics and the ultrafast temperature-induced transient change in the magnetic anisotropy. The numerical modeling proves that, for direct excitation, both mechanisms drive the fundamental mode with opposite phase. The relative ratio of standing spin wave amplitudes of higher-order modes indicates that both mechanisms are substantially active.}, language = {en} } @article{FeldmannLevermannMengel2019, author = {Feldmann, Johannes and Levermann, Anders and Mengel, Matthias}, title = {Stabilizing the West Antarctic Ice Sheet by surface mass deposition}, series = {Science Advances}, volume = {5}, journal = {Science Advances}, number = {7}, publisher = {American Assoc. for the Advancement of Science}, address = {Washington}, issn = {2375-2548}, doi = {10.1126/sciadv.aaw4132}, pages = {7}, year = {2019}, abstract = {There is evidence that a self-sustaining ice discharge from the West Antarctic Ice Sheet (WAIS) has started, potentially leading to its disintegration. The associated sea level rise of more than 3m would pose a serious challenge to highly populated areas including metropolises such as Calcutta, Shanghai, New York City, and Tokyo. Here, we show that the WAIS may be stabilized through mass deposition in coastal regions around Pine Island and Thwaites glaciers. In our numerical simulations, a minimum of 7400 Gt of additional snowfall stabilizes the flow if applied over a short period of 10 years onto the region (-2 mm year(-1) sea level equivalent). Mass deposition at a lower rate increases the intervention time and the required total amount of snow. We find that the precise conditions of such an operation are crucial, and potential benefits need to be weighed against environmental hazards, future risks, and enormous technical challenges.}, language = {en} } @article{SchlemmFeldmannWinkelmannetal.2022, author = {Schlemm, Tanja and Feldmann, Johannes and Winkelmann, Ricarda and Levermann, Anders}, title = {Stabilizing effect of melange buttressing on the marine ice-cliff instability of the West Antarctic Ice Sheet}, series = {The Cryosphere : TC ; an interactive open access journal of the European Geosciences Union}, volume = {16}, journal = {The Cryosphere : TC ; an interactive open access journal of the European Geosciences Union}, number = {5}, publisher = {Copernicus}, address = {G{\"o}ttingen}, issn = {1994-0416}, doi = {10.5194/tc-16-1979-2022}, pages = {1979 -- 1996}, year = {2022}, abstract = {Owing to global warming and particularly high regional ocean warming, both Thwaites and Pine Island Glaciers in the Amundsen region of the Antarctic Ice Sheet could lose their buttressing ice shelves over time. We analyse the possible consequences using the parallel ice sheet model (PISM), applying a simple cliff-calving parameterization and an ice melange-buttressing model. We find that the instantaneous loss of ice-shelf buttressing, due to enforced ice-shelf melting, initiates grounding-line retreat and triggers marine ice sheet instability (MISI). As a consequence, the grounding line progresses into the interior of the West Antarctic Ice Sheet and leads to a sea level contribution of 0.6 m within 100 a. By subjecting the exposed ice cliffs to cliff calving using our simplified parameterization, we also analyse marine ice cliff instability (MICI). In our simulations it can double or even triple the sea level contribution depending on the only loosely constrained parameter that determines the maximum cliff-calving rate. The speed of MICI depends on this upper bound of the calving rate, which is given by the ice melange buttressing the glacier. However, stabilization of MICI may occur for geometric reasons. Because the embayment geometry changes as MICI advances into the interior of the ice sheet, the upper bound on calving rates is reduced and the progress of MICI is slowed down. Although we cannot claim that our simulations bear relevant quantitative estimates of the effect of ice-melange buttressing on MICI, the mechanism has the potential to stop the instability. Further research is needed to evaluate its role for the past and future evolution of the Antarctic Ice Sheet.}, language = {en} } @phdthesis{Kalbitz2011, author = {Kalbitz, Ren{\´e}}, title = {Stability of polarization in organic ferroelectric metal-insulator-semiconductor structures}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-57276}, school = {Universit{\"a}t Potsdam}, year = {2011}, abstract = {Organic thin film transistors (TFT) are an attractive option for low cost electronic applications and may be used for active matrix displays and for RFID applications. To extend the range of applications there is a need to develop and optimise the performance of non-volatile memory devices that are compatible with the solution-processing fabrication procedures used in plastic electronics. A possible candidate is an organic TFT incorporating the ferroelectric co-polymer poly(vinylidenefluoride-trifluoroethylene)(P(VDF-TrFE)) as the gate insulator. Dielectric measurements have been carried out on all-organic metal-insulator-semiconductor structures with the ferroelectric polymer poly(vinylidenefluoride-trifluoroethylene) (P(VDF-TrFE)) as the gate insu-lator. The capacitance spectra of MIS devices, were measured under different biases, showing the effect of charge accumulation and depletion on the Maxwell-Wagner peak. The position and height of this peak clearly indicates the lack of stable depletion behavior and the decrease of mobility when increasing the depletion zone width, i.e. upon moving into the P3HT bulk. The lack of stable depletion was further investigated with capacitance-voltage (C-V) measurements. When the structure was driven into depletion, C-V plots showed a positive flat-band voltage shift, arising from the change in polarization state of the ferroelectric insulator. When biased into accumulation, the polarization was reversed. It is shown that the two polarization states are stable i.e. no depolarization occurs below the coercive field. However, negative charge trapped at the semiconductor-insulator interface during the depletion cycle masks the negative shift in flat-band voltage expected during the sweep to accumulation voltages. The measured output characteristics of the studied ferroelectric-field-effect transistors confirmed the results of the C-V plots. Furthermore, the results indicated a trapping of electrons at the positively charged surfaces of the ferroelectrically polarized P(VDF-TrFE) crystallites near the insulator/semiconductor in-terface during the first poling cycles. The study of the MIS structure by means of thermally stimulated current (TSC) revealed further evidence for the stability of the polarization under depletion voltages. It was shown, that the lack of stable depletion behavior is caused by the compensation of the orientational polarization by fixed electrons at the interface and not by the depolarization of the insulator, as proposed in several publications. The above results suggest a performance improvement of non-volatile memory devices by the optimization of the interface.}, language = {en} } @article{Schirdewahn2020, author = {Schirdewahn, Daniel}, title = {Stability of a parametric harmonic oscillator with dichotomic noise}, series = {Chaos : an interdisciplinary journal of nonlinear science}, volume = {30}, journal = {Chaos : an interdisciplinary journal of nonlinear science}, number = {9}, publisher = {American Institute of Physics}, address = {Melville}, issn = {1054-1500}, doi = {10.1063/5.0012946}, pages = {7}, year = {2020}, abstract = {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.}, language = {en} } @phdthesis{Kuhlbrodt2002, author = {Kuhlbrodt, Till}, title = {Stability and variability of open-ocean deep convection in deterministic and stochastic simple models}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-0000622}, school = {Universit{\"a}t Potsdam}, year = {2002}, abstract = {Die Tiefenkonvektion ist ein wesentlicher Bestandteil der Zirkulation im Nordatlantik. Sie beeinflusst den nordw{\"a}rtigen W{\"a}rmetransport der thermohalinen Zirkulation. Ein Verst{\"a}ndnis ihrer Stabilit{\"a}t und Variabilit{\"a}t ist daher n{\"o}tig, um Klimaver{\"a}nderungen im Bereich des Nordatlantiks einsch{\"a}tzen zu k{\"o}nnen. Diese Arbeit hat zum Ziel, das konzeptionelle Verst{\"a}ndnis der Stabilit{\"a}t und der Variabilit{\"a}t der Tiefenkonvektion zu verbessern. Beobachtungsdaten aus der Labradorsee zeigen Phasen mit und ohne Tiefenkonvektion. Ein einfaches Modell mit zwei Boxen wird an diese Daten angepasst. Das Ergebnis legt nahe, dass die Labradorsee zwei koexistierende stabile Zust{\"a}nde hat, einen mit regelm{\"a}ßiger Tiefenkonvektion und einen ohne Tiefenkonvektion. Diese Bistabilit{\"a}t ergibt sich aus einer positiven Salzgehalts-R{\"u}ckkopplung, deren Ursache ein Netto-S{\"u}ßwassereintrag in die Deckschicht ist. Der konvektive Zustand kann schnell instabil werden, wenn der mittlere Antrieb sich hin zu w{\"a}rmeren oder weniger salzhaltigen Bedingungen {\"a}ndert. Die wetterbedingte Variabilit{\"a}t des externen Antriebs wird durch die Addition eines stochastischen Antriebsterms in das Modell eingebaut. Es zeigt sich, dass dann die Tiefenkonvektion h{\"a}ufig an- und wieder ausgeschaltet wird. Die mittlere Aufenthaltszeit in beiden Zust{\"a}nden ist ein Maß ihrer stochastischen Stabilit{\"a}t. Die stochastische Stabilit{\"a}t h{\"a}ngt in glatter Weise von den Parametern des Antriebs ab, im Gegensatz zu der deterministischen (nichtstochastischen) Stabilit{\"a}t, die sich abrupt {\"a}ndern kann. Sowohl das Mittel als auch die Varianz des stochastischen Antriebs beeinflussen die H{\"a}ufigkeit von Tiefenkonvektion. Eine Abnahme der Konvektionsh{\"a}ufigkeit, als Reaktion auf eine Abnahme des Salzgehalts an der Oberfl{\"a}che, kann zum Beispiel durch eine Zunahme der Variabilit{\"a}t in den W{\"a}rmefl{\"u}ssen kompensiert werden. Mit einem weiter vereinfachten Box-Modell werden einige Eigenschaften der stochastischen Stabilit{\"a}t analytisch untersucht. Es wird ein neuer Effekt beschrieben, die wandernde Monostabilit{\"a}t: Auch wenn die Tiefenkonvektion aufgrund ge{\"a}nderter Parameter des Antriebs kein stabiler Zustand mehr ist, kann der stochastische Antrieb immer noch h{\"a}ufig Konvektionsereignisse ausl{\"o}sen. Die analytischen Gleichungen zeigen explizit, wie die wandernde Monostabilit{\"a}t sowie andere Effekte von den Modellparametern abh{\"a}ngen. Diese Abh{\"a}ngigkeit ist f{\"u}r die mittleren Aufenthaltszeiten immer exponentiell, f{\"u}r die Wahrscheinlichkeit langer nichtkonvektiver Phasen dagegen nur dann, wenn diese Wahrscheinlichkeit gering ist. Es ist zu erwarten, dass wandernde Monostabilit{\"a}t auch in anderen Teilen des Klimasystems eine Rolle spielt. Insgesamt zeigen die Ergebnisse, dass die Stabilit{\"a}t der Tiefenkonvektion in der Labradorsee sehr empfindlich auf den Antrieb reagiert. Die Rolle der Variabilit{\"a}t ist entscheidend f{\"u}r ein Verst{\"a}ndnis dieser Empfindlichkeit. Kleine {\"A}nderungen im Antrieb k{\"o}nnen bereits die H{\"a}ufigkeit von Tiefenkonvektionsereignissen deutlich mindern, was sich vermutlich stark auf das regionale Klima auswirkt.}, subject = {Labradorsee ; Thermohaline Konvektion ; Stochastisches Modell}, language = {en} } @unpublished{SeehaferSchumacher1997, author = {Seehafer, Norbert and Schumacher, J{\"o}rg}, title = {Squire's theorem for the magnetohydrodynamic sheet pinch}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14628}, year = {1997}, abstract = {The stability of the quiescent ground state of an incompressible viscous fluid sheet bounded by two parallel planes, with an electrical conductivity varying across the sheet, and driven by an external electric field tangential to the boundaries is considered. It is demonstrated that irrespective of the conductivity profile, as magnetic and kinetic Reynolds numbers (based on the Alfv{\´e}n velocity) are raised from small values, two-dimensional perturbations become unstable first.}, language = {en} } @article{MardoukhiChechkinMetzler2020, author = {Mardoukhi, Yousof and Chechkin, Aleksei V. and Metzler, Ralf}, title = {Spurious ergodicity breaking in normal and fractional Ornstein-Uhlenbeck process}, series = {New Journal of Physics}, volume = {22}, journal = {New Journal of Physics}, publisher = {IOP}, address = {London}, issn = {1367-2630}, doi = {10.1088/1367-2630/ab950b}, pages = {18}, year = {2020}, abstract = {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.}, language = {en} }