High-temperature expansion for steady nonequilibrium states in driven lattice gases

Raphael Lefevere; Hal Tasaki

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High-temperature expansion for steady nonequilibrium states in driven lattice gases

Raphael Lefevere·Hal Tasaki

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Abstract

We develop a controlled high-temperature expansion for nonequilibrium steady states of the driven lattice gas. We represent the steady state as $P(η)\propto e^{-H(η)-Ψ(η)}$, and evaluate the lowest order contribution to the nonequilibrium effective interaction $Ψ(η)$. We see that, in dimensions $d\ge2$, all models with nonsingular transition rates have the same $Ψ(η)$, which consists of a three-body effective interaction decaying like $1/r^{2d+1}$. The models with the Metropolis rule show exceptional behavior.

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Raphael Lefevere, Hal Tasaki. 2004-07-21. High-temperature expansion for steady nonequilibrium states in driven lattice gases. https://arxiv.org/abs/cond-mat/0407552

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