Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Poster II

DY 29.17: Poster

Donnerstag, 28. Februar 2008, 16:00–18:00, Poster C

Tackling Master Equations with a Loop Transform — •Stephan Herminghaus, Klaus Roeller, Axel Fingerle, and Jürgen Vollmer — MPI für Dynamik und Selbstorganisation, Göttingen

A procedure is introduced which allows to represent the dynamics of a non-equilibrium system violating detailed balance by its steady state loop fluxes. It is shown that detailed balance is restored in this representation, such that the non-equilibrium steady state follows a simple Boltzmann distribution. It is thereby shown that the loop transform maps the complex behaviour of a large class of systems far from thermal equilibrium onto standard statistics of multilevel systems with degeneracies. A novel algorithm for the construction of the steady state densities naturally emerges. Furthermore, we find an expression for a free energy functional governing both the steady state and some aspects of the dynamic behavior of the system.