Infinite reflections of shock fronts in driven diffusive systems with two species

Abstract

Interaction of a domain wall with boundaries of a system is studied for a class of stochastic driven particle models. 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.

11 pages, 8 eps figs, to appearin JPhysA 01.2004

References in corpus (1)

• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles

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