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Nonequilibrium phase transition in stochastic lattice gases: Simulation of a three-dimensional system

  • J. Marro
  • , J. L. Lebowitz
  • , H. Spohn
  • , M. H. Kalos
  • Universitat de Barcelona
  • Rutgers University–New Brunswick
  • Ludwig-Maximilians-Universität München
  • Courant Institute of Mathematical Sciences

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

We report results of computer simulations of a three-dimensional lattice gas of interacting particles subject to a uniform external field E. The dynamics of the system is given by hoppings of particles to nearby empty sites with rates biased for jumps in the direction of E. As for the two-dimensional system we find that here too there exists a critical temperature, Tc(E) such that for T < Tc(E) the systems orders in a very anisotropic phase with striplike typical configurations parallel to the field. Tc(E) increases with E but substantially less strongly than in two dimensions. There is a break in the slope of the saturation current at Tc(E). Our data are consistent with the critical exponent β being mean field.

Original languageEnglish
Pages (from-to)725-733
Number of pages9
JournalJournal of Statistical Physics
Volume38
Issue number3-4
DOIs
StatePublished - Feb 1985
Externally publishedYes

Keywords

  • Ising model under electric field
  • Steady states
  • stochastic lattice gases
  • superionic conductors

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