High-temperature expansion for nonequilibrium steady states in driven lattice gases |
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Authors: | Lefevere Raphael Tasaki Hal |
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Institution: | Theoretical Physics Institute, Universite de Louvain, 1348 Louvain-la-Neuve, Belgium. lefevere@math.jussieu.fr |
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Abstract: | We develop a controlled high-temperature expansion for nonequilibrium steady states of the driven lattice gas, the "Ising model" for nonequilibrium physics. We represent the steady state as P(eta) alpha e(-betaH(eta)-psi(eta)) and evaluate the lowest order contribution to the nonequilibrium effective interaction psi(eta). We see that, in dimensions d > or = 2, all models with nonsingular transition rates yield the same summable psi(eta), suggesting the possibility of describing the state as a Gibbs state similar to equilibrium. The models with the Metropolis rule show exceptional behavior. |
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