Journal Article

PreJuSER-46831

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Minimal current phase and boundary layers in driven diffusive systems

Popkov, V.FZJ* ; Hager, J. ; Krug, J. ; Schütz, G. M.FZJ*

2001
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/1543  doi:10.1103/PhysRevE.63.056110

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.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Theorie II (IFF-TH-II)

Research Program(s):

1. Kooperative Phänomene in kondensierter Materie (23.15.0)

Appears in the scientific report 2001
Notes: This version is available at the following Publisher URL: http://pre.aps.org

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