Equivalence Between Canonical Gibbs Measures and Stationary Measures for Stochastic Lattice-Gas Model |
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| Authors: | Hironobu Sakagawa |
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| Affiliation: | (1) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan |
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| Abstract: | 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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| Keywords: | canonical Gibbs measure exclusion process detailed balance condition free energy |
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