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Detailed balance and equilibrium

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Abstract

For classical lattice systems, an infinite set of jump-processes satisfying the condition of detailed balance is found. It is proved that any state invariant for these processes is an equilibrium state, providing a new characterization of DLR-states by means of the notion of detailed balance. This extends previous results, proved in one and two dimensions.

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Authors and Affiliations

  1. Instituut voor Theoretische Natuurkunde, Universiteit Leuven, B-3030, Leuven, Belgium

    A. Verbeure

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  1. A. Verbeure
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Communicated by H. Araki

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Verbeure, A. Detailed balance and equilibrium. Commun.Math. Phys. 95, 301–305 (1984). https://doi.org/10.1007/BF01212400

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  • DOI: https://doi.org/10.1007/BF01212400

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