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

V Popkov

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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 evident contrast with one-species models where the stationary density is attained after just one reflection.


PACS

02.50.Ey Stochastic processes

02.60.Lj Ordinary and partial differential equations; boundary value problems

MSC

65C35 Stochastic particle methods (See also 82C80)

Subjects

Computational physics

Dates

Issue 5 (6 February 2004)

Received 25 August 2003

Published 19 January 2004



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