Objectif This project aims to develop new theoretical methods for the study of physical systems driven by regular and stochastic fields. The systems driven by regular fields are modelled by a chain of particles that interact with each other, with a random or a ratchet potential, and are also subjected to external force fields. Such model systems represent numerous physical systems far from equilibrium.The main objective of the investigation is to formulate an appropriate thermodynamic theory and to investigate features related to the directed transport in deterministic ratchets, which arise from interparticle interactions. To achieve these goals, a concept of the system effective temperature and a rigorous dynamical approach will be developed. The stochastic systems considered in the project include finite Ising chains, two-dimensional ensembles of dipolar interacting magnetic nanoparticles, and model systems driven by Gaussian coloured and Levy white noises. To study the non-thermodynamic properties of finite Ising chains, an exact combinatorial approach to find the proper distribution functions will be worked out.To describe nanoparticle ensembles, a novel, two-step mean-field approximation scheme will be developed that operates with two different mean fields and take s into account the correlation effects, in contrast to the conventional mean-field approximation. To describe the statistical properties of noise-driven systems, a new Langevin equation with multiplicative Levy white noise will be introduced, and the corresponding generalized Fokker-Planck equation will be derived and solved for particular cases. The methods developed during the project will be applied to the study of the steady-state properties and resonant transport in ionic chains, domain statistics infinite Ising chains, magnetic relaxation in nanoparticle ensembles, and anomalous phenomena in noisy systems. Champ scientifique natural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsengineering and technologynanotechnologynano-materials Mots‑clés Gaussian colored noise Levy white noise Systems far from equilibrium directed (stochastic and deterministic) transport domain statistics magnetic relaxation stochastic systems Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Thème(s) MOBILITY-2.3 - Marie Curie Incoming International Fellowships (IIF) Appel à propositions FP6-2002-MOBILITY-7 Voir d’autres projets de cet appel Régime de financement IIF - Marie Curie actions-Incoming International Fellowships Coordinateur UNIVERSITäT AUGSBURG Contribution de l’UE Aucune donnée Adresse UniversitätsstraÃxe 1 AUGSBURG Allemagne Voir sur la carte Liens Site web Opens in new window Coût total Aucune donnée
