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Content archived on 2024-05-29

The Development of new theoretical methods for analysis of driven systems

Objective

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.

Fields of science (EuroSciVoc)

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Keywords

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Topic(s)

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Call for proposal

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FP6-2002-MOBILITY-7
See other projects for this call

Funding Scheme

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IIF - Marie Curie actions-Incoming International Fellowships

Coordinator

UNIVERSITäT AUGSBURG
EU contribution
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Total cost

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