Generalized mean-field study of a driven lattice gas

TL;DR

This study uses generalized mean-field analysis to investigate the ordering behavior of a driven lattice gas under electric fields, confirming the absence of phase transitions at high field strengths through cluster approximations and simulations.

Contribution

It introduces a generalized mean-field approach for analyzing a driven lattice gas, extending previous models by including higher-order cluster probabilities and comparing with Monte Carlo results.

Findings

No phase transition occurs at high electric fields.

6-point cluster approximations agree with Monte Carlo simulations.

Sublattice ordering is excluded in the analysis.

Abstract

Generalized mean-field analysis has been performed to study the ordering process in a half-filled square lattice-gas model with repulsive nearest neighbor interaction under the influence of a uniform electric field. We have determined the configuration probabilities on 2-, 4-, 5-, and 6-point clusters excluding the possibility of sublattice ordering. The agreement between the results of 6-point approximations and Monte Carlo simulations confirms the absence of phase transition for sufficiently strong fields.