Power law decay of correlations in stationary nonequilibrium lattice gases with conservative dynamics

M. Q. Zhang, J. S. Wang, J. L. Lebowitz, J. L. Vallés

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67 Scopus citations

Abstract

We report computer simulations and high-temperature approximations of the pair correlation in a stationary nonequilibrium system, a lattice gas subject to a strong uniform driving field E. The dynamics of the system is given by hoppings of particles to adjacent empty sites with rates biased for jumps in the direction of E. We study the anisotropic short-distance behavior as well as the long-distance decay properties of the two-point correlations along the principal axes. The simulations as well as the (approximate) expansion in β strongly suggest that the correlations in this system have a power law decay, r-Dfor dimensions D=2 and 3, even at high temperatures.

Original languageEnglish (US)
Pages (from-to)1461-1478
Number of pages18
JournalJournal of Statistical Physics
Volume52
Issue number5-6
DOIs
StatePublished - Sep 1988

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Nonequilibrium stationary states
  • high-temperature approximations
  • pair correlations
  • power law decay
  • stochastic lattice gas

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