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

Abstract

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

4 pages, no figures