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Minimal current phase and universal boundary layers in driven diffusive systems.

Abstract

We investigate boundary-driven phase transitions in open driven diffusive systems. The generic phase diagram for systems with short-ranged interactions is governed by a simple extremal principle for the macroscopic current, which results from an interplay of density fluctuations with the motion of shocks. In systems with more than one extremum in the current-density relation, one finds a minimal current phase even though the boundaries support a higher current. The boundary layers of the critical minimal current and maximal current phases are argued to be of a universal form. The predictions of the theory are confirmed by Monte Carlo simulations of the two-parameter family of stochastic particle hopping models of Katz, Lebowitz, and Spohn and by analytical results for a related cellular automaton with deterministic bulk dynamics. The effect of disorder in the particle jump rates on the boundary layer profile is also discussed.

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BibTeXRIS

J S Hager, J Krug, V Popkov, G M Schütz. 2001-04-16. Minimal current phase and universal boundary layers in driven diffusive systems.. https://doi.org/10.1103/physreve.63.056110

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