Equivalence Between Canonical Gibbs Measures and Stationary Measures for Stochastic Lattice-Gas Model

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It is proved that, under appropriate conditions on the jump rate and potential, one- and two-dimensional stochastic lattice-gas models (exclusion process with speed change) have only canonical Gibbs measures as their stationary measures. This extends the previously known result, which treats only a special jump rate and potential.

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