Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 52: Statistical Physics far from Thermal Equilibrium

DY 52.4: Talk

Wednesday, March 9, 2005, 13:15–13:30, TU H3010

Infinite reflections of shock fronts in driven diffusive systems with two species. — •Vladislav Popkov¹ and Gunter Schütz² — ¹Institut für Theoretische Physik, Universität zu Köln — ²Institut für Festkörperforschung, Forschungszentrum Jülich

We study interaction of a domain wall with boundaries for several stochastic driven particle models, which have two species of particles. Reflection maps are introduced for the description of this process. We show that, generically, a domain wall reflects infinitely many times from the boundaries before a stationary state can be reached. This is in an evident contrast with one-species models where the stationary density is attained after just one reflection.

Adequate hydrodynamic description of driven systems with open boundaries is achieved when boundary conditions act like effective reservoirs of particles with fixed particle densities. We show how to define the respective stochastic dynamics introducing projection measures. From this point of view, we analyse reflections of domain walls in a hydrodynamic limit for a model exhibiting spontaneous symmetry breaking (SSB). We argue that SSB happens where hydrodynamic description breaks down.