Equivalence between canonical Gibbs measures and stationary measures for stochastic lattice-gas model

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1 Citation (Scopus)

Abstract

It is proved that, under appropriate conditions on the jump rate and potential, one-and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.

Original languageEnglish
Pages (from-to)949-959
Number of pages11
JournalJournal of Statistical Physics
Volume98
Issue number3-4
Publication statusPublished - 2000 Feb 1
Externally publishedYes

Keywords

  • Canonical Gibbs measure
  • Detailed balance condition
  • Exclusion process
  • Free energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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