The origin of the Mixed Glass Former Effect (MGFE) is studied, which manifests itself in a non-monotonic behavior of the activation energy for long-range ion transport as a function of the mixing ratio of two glass formers. Two theoretical models are developed, the mixed barrier model and the network unit trap model, which consider different possible mechanisms for the occurrence of the MGFE. The mixed barrier model is based on the assumption that energy barriers are reduced for ionic jumps in regions of mixed composition. By employing percolation theory it is shown that this mechanism can successfully account for the behavior of the activation energy in various ion conducting mixed glass former glasses. The network unit trap model is based on the fact that a variety of network forming units, the so-called Q(n) species, can be associated with one glass former. Using a thermodynamic approach, the change of the concentration of these units in dependence of ionic concentration and the glass former mixing ratio is successfully predicted for alkali borate, phosphate and borophosphate glasses. In a second step, the charge distribution of the various units is considered and related to it, the binding energies to alkali ions. This gives rise to a modeling of the ionic transport in an energy landscape that changes in a defined manner with the glass former mixing ratio. Kinetic Monte Carlo simulations for alkali borophosphate glasses, which serve as a representative system for the MGFE in the literature, demonstrate that this approach succeeds to predict the behavior of the activation energy. In a further part of the thesis, Reverse Monte Carlo (RMC) simulations for the atomic structure of sodium borophosphate glasses are carried out with X-ray and neutron diffraction data as further input from experiments. Three-dimensional structures could be successfully generated that are in agreement with all experimental and theoretical constraints. Volume fractions of the ionic conduction pathways determined from these structures, however, do not show a substantial relationship to the activation energy, as earlier proposed in the iterature for alkali borate and alkali phosphate glasses.

The first part of the present Phd thesis is devoted to transport investigations in disordered quantum systems. We aim at quantitatively determining transport parameters like conductivity, mean free path, etc., for simple models of spatially disordered and/or percolated quantum systems in the limit of high temperatures and low fillings using linear response theory. We find the transport behavior for some models to be in accord with a Boltzmann equation, i.e., long mean free paths, exponentially decaying currents although there are no band-structures to start from, while this does not apply to other models even though they are also almost completely delocalized. The second part of the present PhD thesis addresses the issue of initial state independence (ISI) in closed quantum system. The relevance of the eigenstate thermalization hypothesis (ETH) for the emergence of ISI equilibration is to some extent addressed. To this end, we investigate the Heisenberg spin-ladder and check the validity of the ETH for the energy difference operator by examining the scaling behavior of the corresponding ETH-fluctuations, which we compute using an innovative numerical method based on typicality related arguments. While, the ETH turns out to hold for the generic non-integrable models and may therefore serve as the key mechanism for ISI for this cases, it does not hold for the integrable Heisenberg-chain. However, close analysis on the dynamic of substantially out-of-equilibrium initial states indicates the occurrence of ISI equillibration in the thermodynamic limit regardless of whether the ETH is violated. Thus, we introduce a new parameter $v$, which we propose as an alternative of the ETH to indicate ISI equillibration in cases, in which the ETH does not strictly apply.

Aufgrund des weltweiten Trends zur Miniaturisierung, u. a. von elektronischen Bauteilen, von Sensoren, von Speichermedien, oder bei der gezielten Funktionalisierung von Nanopartikeln als Kontrastmittel in bildgebenden medizinischen Verfahren, nimmt die Erforschung von Nanosystemen eine interdisziplinäre Schlüsselrolle ein. Ein grundlegendes physikalisches, chemisches und biologisches Verständnis von Nanosystemen auf Grundlage von experimentellen und theoretischen Untersuchungen steht dabei ebenso im Fokus wie die konzeptionelle Entwicklung geeigneter Nanotechnologien zur kontrollierten Herstellung von Nanostrukturen über „bottom-up“ und „top-down“ Strategien. Getriebene Nanosysteme befinden sich fern vom thermischen Gleichgewicht. Zur ihrer Beschreibung gibt es bisher keine allgemein ausgearbeitete Theorie. Dies hat zur Konsequenz, dass getriebene Nanosysteme problemspezifisch modelliert und untersucht werden müssen. Die vorliegende Schrift ist in drei Themengebiete unterteilt: (i) konzeptionelle Beschreibung stochastischer Fluktuationen der Arbeit und der Wärme im Rahmen der stochastischen Thermodynamik, (ii) konzeptionelle Beschreibung von Vielteilchen-Transportproblemen mit repulsiven Nächste-Nachbarwechselwirkungen auf Grundlage der klassischen zeitabhängigen Dichtefunktionaltheorie und (iii) selbstorganisiertes Wachstum von metallischen und organischen Nanostrukturen.

Thermodynamic processes in finite time are in general irreversible. But there are chances to avoid irreversibility. For instance, there are canonical ensembles of special quantum systems with a given probability distribution describing the likelihood to find the system at time t=0 in a particular state with energy E_i(0), which can be controlled in a specific way, such that the initial probability distribution is recovered at the end of the process (t=T), but the state energies did change, hence E_i(0) is not equal to E_i(T). This allows to change thermodynamic quantities (expectation values) adiabatically, reversibly and in finite time. Such special processes are called Shortcuts to Adiabaticity. The presented thesis analyzes the origin of these shortcuts utilizing special Hamiltonian systems with dynamical algebra. Their main feature is to provide canonical invariance, which means a canonical ensemble stays canonical under Hamiltonian dynamics. This invariance carried by the dynamical algebra will be discussed using Lie group theory. In addition, the persistence of the dynamical algebra with respect to calculating expectation values will be deduced. This allows to benefit from all intrinsic symmetries within the discussion of ensemble trajectories. In consequence, these trajectories will evolve under Hamiltonian dynamics on a specific manifold given by the so-called Casimir companion. In addition, the deformation of this manifold due to non-Hamiltonian (dissipative) dynamics will be discussed, which allows to present a framework for modeling irreversible processes based on Hamiltonian systems with dynamical algebra. An application of this framework based on the parametric harmonic oscillator will be presented by determining time-optimal controls for transitions between two equilibrium as well as between non-equilibrium and equilibrium states. The latter one will lead to time-optimal equilibration strategies for a statistical ensemble of parametric harmonic oscillators. / Thermodynamische Prozesse in endlicher Zeit sind im Allgemeinen irreversibel. Es gibt jedoch Möglichkeiten, diese Irreversibilität zu umgehen. Ein kanonisches Ensemble eines speziellen quantenmechanischen Systems kann zum Beispiel auf eine ganz spezielle Art und Weise gesteuert werden, sodass nach endlicher Zeit T wieder eine kanonische Besetzungverteilung hergestellt ist, sich aber dennoch die Energie des Systems geändert hat (E(0) ungleich E(T)). Solche Prozesse erlauben das Ändern thermodynamischer Größen (Ensemblemittelwerte) der erwähnten speziellen Systeme in endlicher Zeit und auf eine adiabatische und reversible Art. Man nennt diese Art von speziellen Prozessen Shortcuts to Adiabaticity und die speziellen Systeme hamiltonsche Systeme mit dynamischer Algebra. Die vorliegende Dissertation hat zum Ziel den Ursprung dieser Shortcuts to Adiabaticity zu analysieren und eine Methodik zu entwickeln, die es erlaubt irreversible thermodynamische Prozesse adequat mittels dieser speziellen Systeme zu modellieren. Dazu wird deren besondere Eigenschaft ausgenutzt, die kanonische Invarianz, d.h. ein kanonisches Ensemble bleibt kanonisch bezüglich hamiltonscher Dynamik. Der Ursprung dieser Invarianz liegt in der dynamischen Algebra, die mit Hilfe der Theorie der Lie-Gruppen näher betrachtet wird. Dies erlaubt, eine weitere besondere Eigenschaft abzuleiten: Die Ensemblemittelwerte unterliegen ebenfalls den Symmetrien, die die dynamische Algebra widerspiegelt. Bei näherer Betrachtung befinden sich alle Trajektorien der Ensemblemittelwerte auf einer Mannigfaltigkeit, die durch den sogenannten Casimir Companion beschrieben wird. Darüber hinaus wird nicht-hamiltonsche/dissipative Dynamik betrachtet, welche zu einer Deformation der Mannigfaltigkeit führt. Abschließend wird eine Zusammenfassung der grundlegenden Methodik zur Modellierung irreversibler Prozesse mittels hamiltonscher Systeme mit dynamischer Algebra gegeben. Zum besseren Verständnis wird ein ausführliches Anwendungsbeispiel dieser Methodik präsentiert, in dem die zeitoptimale Steuerung eines Ensembles des harmonischen Oszillators zwischen zwei Gleichgewichtszuständen sowie zwischen Gleichgewichts- und Nichtgleichgewichtszuständen abgeleitet wird.

Diese Dissertation beschäftigt sich mit der rigorosen Herleitung effektiver Modelle zur Beschreibung von Schädigungsprozessen. Diese effektiven Modelle werden für verschiedene raten-unabhängige Schädigungsmodelle linear elastischer Materialien hergeleitet. Den Ausgangspunkt stellt dabei ein unidirektionales Mikrostrukturevolutionsmodell dar, dessen Fundament eine Familie geordneter zulässiger Mikrostrukturen bildet. Jede Mikrostruktur dieser Familie besitzt die gleiche intrinsische Längenskala. Zur Herleitung eines effektiven Modells wird das asymptotische Verhalten dieser Längenskala mittels Techniken der Zwei-Skalen-Konvergenz untersucht. Um das Grenzmodell zu identifizieren, bedarf es einer Mikrostrukturregularisierung, die als diskreter Gradient für stückweise konstante Funktionen aufgefasst werden kann. Die Mikrostruktur des effektiven Modells ist punktweise durch ein Einheitszellenproblem gegeben, welches die Mikro- von der Makroskala trennt. Ausgehend vom Homogenisierungsresultat für die unidirektionale Mikrostrukturevolution werden effektive Modelle für Zwei-Phasen-Schädungsprozesse hergeleitet. Die aus zwei Phasen bestehende Mikrostruktur der mikroskopischen Modelle ermöglicht z.B. die Modellierung von Schädigung durch das Wachstum von Inklusionen aus geschädigtem Material verschiedener Form und Größe. Außerdem kann Schädigung durch das Wachstum mikroskopischer Hohlräume und Mikrorissen betrachtet werden. Die Größe der Defekte skaliert mit der intrinsischen Längenskala und die unidirektionale Mikrostrukturevolution verhindert, dass bei fixierter Längenskala die Defekte für fortlaufende Zeit schrumpfen. Das Material des Grenzmodells ist dann in jedem Punkt als Mischung von ungeschädigtem und geschädigtem Material durch das Einheitszellenproblem gegeben. Dabei liefert das Einheitszellenproblem nicht nur das Mischungsverhältnis sondern auch die genaue geometrische Mischungsverteilung, die dem effektiven Material des jeweiligen Materialpunktes zugrunde liegt. / This dissertation at hand deals with the rigorous derivation of such effective models used to describe damage processes. For different rate-independent damage processes in linear elastic material these effective models are derived as the asymptotic limit of microscopic models. The starting point is represented by a unidirectional microstructure evolution model which is based on a family of ordered admissible microstructures. Each microstructure of that family possesses the same intrinsic length scale. To derive an effective model, the asymptotic behavior of this intrinsic length scale is investigated with the help of techniques of the two-scale convergence. For this purpose, a microstructure-regularizing term, which can be understood as a discrete gradient for piecewise constant functions, is needed to identify the limit model. The microstructure of the effective model is given pointwisely by a so-called unit cell problem which separates the microscopic scale from the macroscopic scale. Based on these homogenization results for unidirectional microstructure evolution models, effective models for brutal damage processes are provided. There, the microstructure consists of only two phases, namely undamaged material which comprises defects of damaged material with various sizes and shapes. In this way damage progression can be modeled by the growth of inclusions of weak material, the growth of voids, or the growth of microscopic cracks. The size of the defects is scaled by the intrinsic length scale and the unidirectional microstructure evolution prevents that, for a fixed length scale, the defects shrink for progressing time. According to the unit cell problem, the material of the limit model is then given as a mixture of damaged and undamaged material. In a specific material point of the limit model, that unit cell problem does not only define the mixture ratio but also the exact geometrical mixture distribution.

Many irreversible antagonists are known to bind irreversibly to pharmacological receptors. However, few studies suggest that these irreversible antagonists may also display irreversible non-specific antagonism by binding irreversibly to non-syntopic binding sites on the receptor macromolecule, whereby they modulate the signal transduction of these receptors or reduce the agonist binding affmity. The aim of this study was to investigate whether the classical irreversible antagonists phenoxybenzamine, benextramine and 4-DAMP mustard display irreversible nonspecific antagonism at various G protein-coupled receptor (GPCR) types. In addition, the subcellular mechanism whereby benextramine displays irreversible non-specific antagonism was investigated. Three cell lines were employed to investigate the antagonism by these irreversible antagonists: Chinese hamster ovary (CHO-K1) cells transfected to express the porcine a2A-adrenoceptor (a2A-AR) at higher (a2A-H) or lower (a2A-L) numbers, human neuroblastoma (SH-SY5Y) cells that endogenously express muscarinic acetylcholine receptors (mACh-Rs), and SH-SY5Y cells transfected (5HT2A-SH-SY5Y)o express the human 5HT2A-serotonirne ceptor (5HTZA-R).C ells of the appropriate cell line were pre-treated at the appropriate concentrations and incubation times with an appropriate irreversible antagonist, with or without an appropriate reversible competitive antagonist at a sufficient concentration to protect the specific receptors. This was followed by washing procedures with drug-free media to rinse any unbound or reversibly bound drugs from the cells. When appropriate, cell membranes were prepared. Receptor function was evaluated by measuring whole-cell [3H]-cAMP or [3H]-IPx acumulation, or the binding of [35S]-GTPyS to membraness. Receptor concentrations were determined from radioligand-binding assays. In addition, the constitutive [35S]-GTPyS binding to Go protein before and after pre-treatment with benextramine was investigated. Results suggest that phenoxybenzamine (100 uM, 20 minutes) and benextramine (10 uM, 20 minutes) display irreversible non-specific antagonism at a2A-ARs when measuring Gi-mediated effects in a2A-L cells, but the affinity for a2A-ARs in a2A-H cells was not changed. In addition, it was found that the observed irreversible nonspecific antagonism by benextramine appears to be time- and concentration-dependent. When the mechanism of irreversible antagonism by benextramine was further investigated, benextramine reduced the binding of [35S]-GTPyS to a2A-H membranes with protected a2A-ARs, but did not modulate the constitutive binding of [35S]-GTPyS to Go. In addition, benextramine displays irreversible non-specific antagonism by inhibiting the G,-mediated effects of a2A-ARs in a2A-H cells and the Gq-mediated effects of mACh-Rs or 5HT2A-Rs in SH-SY5Y or 5HT2A-SH-SY5Y cells respectively. 4-DAMP mustard (100 uM, 20 minutes) did not display irreversible non-specific antagonism at mACh-Rs in SH-SY5Y cells, but irreversible non-specific antagonism was observed when the incubation time was increased (100 uM, 60 minutes). In conclusion it was found that phenoxybenzamine, benextramine and 4-DAMP mustard display irreversible non-specific antagonism at typical experimental conditions. These findings confirm concerns in literature and supports the possibility that more irreversible antagonists could display irreversible non-specific antagonism, and that could influence the interpretation of data obtained with such drugs. In addition, benextramine may prove to be a useful experimental drug in studying GPCR signalling. / Thesis (Ph.D. (Pharmacology))--North-West University, Potchefstroom Campus, 2004.

Many irreversible antagonists are known to bind irreversibly to pharmacological receptors. However, few studies suggest that these irreversible antagonists may also display irreversible non-specific antagonism by binding irreversibly to non-syntopic binding sites on the receptor macromolecule, whereby they modulate the signal transduction of these receptors or reduce the agonist binding affmity. The aim of this study was to investigate whether the classical irreversible antagonists phenoxybenzamine, benextramine and 4-DAMP mustard display irreversible nonspecific antagonism at various G protein-coupled receptor (GPCR) types. In addition, the subcellular mechanism whereby benextramine displays irreversible non-specific antagonism was investigated. Three cell lines were employed to investigate the antagonism by these irreversible antagonists: Chinese hamster ovary (CHO-K1) cells transfected to express the porcine a2A-adrenoceptor (a2A-AR) at higher (a2A-H) or lower (a2A-L) numbers, human neuroblastoma (SH-SY5Y) cells that endogenously express muscarinic acetylcholine receptors (mACh-Rs), and SH-SY5Y cells transfected (5HT2A-SH-SY5Y)o express the human 5HT2A-serotonirne ceptor (5HTZA-R).C ells of the appropriate cell line were pre-treated at the appropriate concentrations and incubation times with an appropriate irreversible antagonist, with or without an appropriate reversible competitive antagonist at a sufficient concentration to protect the specific receptors. This was followed by washing procedures with drug-free media to rinse any unbound or reversibly bound drugs from the cells. When appropriate, cell membranes were prepared. Receptor function was evaluated by measuring whole-cell [3H]-cAMP or [3H]-IPx acumulation, or the binding of [35S]-GTPyS to membraness. Receptor concentrations were determined from radioligand-binding assays. In addition, the constitutive [35S]-GTPyS binding to Go protein before and after pre-treatment with benextramine was investigated. Results suggest that phenoxybenzamine (100 uM, 20 minutes) and benextramine (10 uM, 20 minutes) display irreversible non-specific antagonism at a2A-ARs when measuring Gi-mediated effects in a2A-L cells, but the affinity for a2A-ARs in a2A-H cells was not changed. In addition, it was found that the observed irreversible nonspecific antagonism by benextramine appears to be time- and concentration-dependent. When the mechanism of irreversible antagonism by benextramine was further investigated, benextramine reduced the binding of [35S]-GTPyS to a2A-H membranes with protected a2A-ARs, but did not modulate the constitutive binding of [35S]-GTPyS to Go. In addition, benextramine displays irreversible non-specific antagonism by inhibiting the G,-mediated effects of a2A-ARs in a2A-H cells and the Gq-mediated effects of mACh-Rs or 5HT2A-Rs in SH-SY5Y or 5HT2A-SH-SY5Y cells respectively. 4-DAMP mustard (100 uM, 20 minutes) did not display irreversible non-specific antagonism at mACh-Rs in SH-SY5Y cells, but irreversible non-specific antagonism was observed when the incubation time was increased (100 uM, 60 minutes). In conclusion it was found that phenoxybenzamine, benextramine and 4-DAMP mustard display irreversible non-specific antagonism at typical experimental conditions. These findings confirm concerns in literature and supports the possibility that more irreversible antagonists could display irreversible non-specific antagonism, and that could influence the interpretation of data obtained with such drugs. In addition, benextramine may prove to be a useful experimental drug in studying GPCR signalling. / Thesis (Ph.D. (Pharmacology))--North-West University, Potchefstroom Campus, 2004.

Les travaux réalisés lors de cette thèse ont pour but la caractérisation magnétique et structurale de réseaux ultra-denses de nanofils monocristallins de cobalt de structure hcp avec l’axe c parallèle à l’axe des nanofils. Ces réseaux sont obtenus par une méthode physico-chimique dite croissance hybride. Le nanomatériau obtenu est un réseau de nanofils monocristallins de Co verticaux épitaxiés sur un film de platine. La cristallinité des nanofils induit une forte anisotropie perpendiculaire au réseau faisant émerger des propriétés physiques qui pourraient répondre au cahier des charges pour constituer des média magnétiques à haute capacité. Le manuscrit s’organise en quatre parties. Il convient dans un premier temps d’exposer une revue de la littérature décrivant le comportement magnétique d’un nano-cylindre isolé puis d’un réseau hexagonal de nano-cylindres. La méthode de magnétométrie utilisée pour caractériser ces réseaux est appelée méthode FORC (First Order Reversal Curves). La mesure et le traitement associé permettent de tracer des diagrammes dits FORC dans lesquels peuvent être lus les caractéristiques magnétiques des nanofils et leurs interactions. La lecture de ces diagrammes n’étant pas directe, le chapitre II est consacré à la description de la méthode FORC appliquée à des assemblées d’hystérons. Cette investigation a demandé d’être soutenue par des simulations micromagnétiques afin d’appuyer les hypothèses formulées lors de l’interprétation des diagrammes FORC mesurés. Il apparait ainsi une famille en très bon accord avec les modèles théoriques exposés dans le chapitre I, puis une seconde famille dont la description précise nécessite l’ajout d’une interaction magnétisante entre nanofils en plus de l’interaction magnétostatique. / The work carried out during this thesis aims at the magnetic and structural characterization of ultra-dense arrays of single crystalline cobalt hcp nanowires with the c axis parallel to the wires axis. These arrays are obtained by a physicochemical method called hybrid growth. The resulting nanomaterial is an array of vertical Co nanowires epitaxially grown on a platinum film, with diameters of 6 to 15 nm and coated with organic ligands. The crystallinity of the nanowires induces a strong anisotropy perpendicular to the substrate, giving rise to physical properties that could meet the specifications to constitute high density magnetic media. The manuscript is organized in four parts. First, a review of the literature describing the behavior of isolated magnetic nano-cylinders and dense arrays of nano-cylinders is presented. The magnetometry method used to characterize these arrays is called the FORC (First Order Reversal Curves) method. This measurement and analysis lead to the plot of FORC diagrams which contain the magnetic properties of nanowires and their interactions. The reading of these FORC diagrams being undirect, the chapter II is devoted to the description of the FORC method applied to assemblies of hysterons. Because of its reproducibility, the physico-chemical synthesis is a critical point of this study which is detailed in Chapter III. FORC magnetometry applied to two families of synthesized samples is described in Chapter IV. This investigation has required numerous micromagnetic simulations to support the assumptions made in the interpretation of FORC diagrams. This deep analysis reveals a first family in very good agreement with the theoretical models exposed in chapter I, and a second family for which the precise description requires the addition of a magnetizing interaction between nanowires in addition to the magnetostatic one.

The work at hand presents a novel approach to transport in closed quantum systems. To this end a method is introduced which is essentially based on projection operator techniques, in particular on the time-convolutionless (TCL) technique. The projection onto local densities of quantities such as energy, magnetization, particles, etc. yields the reduced dynamics of the respective quantities in terms of a systematic perturbation expansion. Especially, the lowest order contribution of this expansion is used as a strategy for the analysis of transport in "modular" quantum systems. The term modular basically corresponds to (quasi-) one-dimensional structures consisting of identical or at least similar many-level subunits. Modular quantum systems are demonstrated to represent many physical situations and several examples are given. In the context of these quantum systems lowest order TCL is shown as an efficient tool which also allows to investigate the dependence of transport on the considered length scale. In addition an estimation for the validity range of lowest order TCL is derived. As a first application a "design" model is considered for which a complete characterization of all available transport types as well as the transitions to each other is possible. For this model the relationship to quantum chaos and the validity of the Kubo formula is further discussed. As an example for a "real" system the Anderson model is finally analyzed. The results are partially verified by the numerical solution of the full time-dependent Schroedinger equation which is obtained by exact diagonalization or approximative integrators.

Ziel der vorliegenden Arbeit ist es, das Preisach-Modell bezüglich stochastischer äußerer Felder und temperaturbezogener Aspekte zu untersuchen. Das phänomenologische Preisach-Modell wird oft erfolgreich angewendet, um Systeme mit Hysterese zu beschreiben. Im ersten Teil der Arbeit wird die Antwort des Preisach-Modells auf stochastische äußere Felder untersucht. Hier liegt das Augenmerk hauptsächlich auf der Autokorrelation; sie dient dazu den Einfluss des hysteretischen Gedächtnisses zu quantifizieren. Mit analytischen Methoden wird gezeigt, dass sich ein Langzeitgedächtnis, sichtbar in der Autokorrelation der Systemantwort, entwickeln kann, selbst wenn das treibende Feld unkorreliert ist. Im Anschluss werden diese Resultate, m.H. von Simulationen, auf äußere Felder ausgeweitet, die selbst Korrelationen aufweisen können. Der zweite Teil der Arbeit befasst sich mit dem Einfluss einer endlichen Temperatur auf das Preisach-Modell. Es werden unterschiedliche Methoden besprochen, wie das Nichtgleichgewichtsmodell in seiner mikromagnetischen Interpretation mit Temperatur als Gleichgewichtseigenschaft verknüpft werden kann. Eine Formulierung wird genutzt, um die Magnetisierung von Nickelnanopartikeln in einer Fullerenmatrix zu simulieren und mit Experimenten zu vergleichen. Des Weiteren wird die Relaxationsdynamik des Gedächtnisses des Preisach-Modells bei endlichen Temperaturen untersucht. / The aim of this thesis is to investigate the Preisach model in regard to stochastically driving and temperature-related aspects. The Preisach model is a phenomenological model for systems with hysteresis which is often successfully applied. Hysteresis is a widespread phenomenon which is observed in nature and the key feature of certain technological applications. Further, it contributes to phenomena of interest in social science and economics as well. Prominent examples are the magnetization of ferromagnetic materials in an external magnetic field or the adsorption-desorption hysteresis observed in porous media. Hysteresis involves the development of a hysteresis memory, and multistability in the interrelations between external driving fields and system response. In the first part, we mainly investigate the response of Preisach hysteresis models driven by stochastic input processes with regard to autocorrelation functions to quantify the influence of the system’s memory. Using rigorous methods, it is shown that the development of a hysteresis memory is reflected in the possibility of long-time tails in the autocorrelation functions, even for uncorrelated driving fields. In the case of uncorrelated driving, these long-time tails in the autocorrelations of the system’s response are determined only by the tails of the involved densities. They will be observed if there are broad Preisach densities assigning a high weight to elementary loops of large width and narrow input densities such that rare extreme events of the input time series contribute significantly to the output for a long period of time. Afterwards, these results are extended by simulations to driving fields which themselves show correlations. It is shown that the autocorrelation of the output does not decay faster than the autocorrelation of the input process. Further, there is a possibility that long-term memory in the hysteretic response is more pronounced in the case of uncorrelated driving than in the case of correlated driving. The behavior of the output probability distribution at the saturation values is quite universal. It is not affected by the presence of correlations and allows conclusions whether the input density is much more narrow than the Preisach density or not. Moreover, the existence of effective Preisach densities is shown which define equivalence classes of systems of input and Preisach densities which lead to realizations of the same output variable. The asymptotic behavior of an effective Preisach density determines the asymptotic correlation decay of the system’s response in the case of uncorrelated driving. In the second part, temperature-related effects are considered. It is reviewed how the non-equilibrium Preisach model in its micromagnetic picture can be related to temperature within the framework of extended irreversible thermodynamics. The irreversible response of a ferromagnetic material, namely, Nickel nanoparticles in a fullerene matrix, is simulated. The model includes superparamagnetism where ferromagnetism breaks down at temperatures lower than the Curie temperature and the results are compared to experimental data. Furthermore, we adapt known results for the thermal relaxation of the system’s memory in the form of a front propagation in the Preisach plane derived basically from solving a master equation and by the use of a contradictory assumption. A closer look is taken at short time scales which dissolves the contradiction and shows that the known results apply, taking into account the fact that the dividing line propagation starts with an additional delay time depending on the front coordinates in the Preisach plane. Additionally, it is outlined how thermal relaxation behavior in the Preisach model of hysteresis can be studied using a Fokker-Planck equation. The latter is solved analytically in the non-hysteretic limit using eigenfunction methods. The results indicate a change in the relaxation behavior, especially on short time scales.