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

V. Popkov
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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.

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V. Popkov. 2004-01-07. Infinite reflections of shock fronts in driven diffusive systems with two species. https://doi.org/10.1088/0305-4470%2F37%2F5%2F006

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