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A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule

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Abstract

It is shown that for an infinite lattice system, thermodynamic equilibrium is the solution of a variational problem involving a mean entropy of states introduced earlier [2]. As an application, a version of the Gibbs phase rule is proved.

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Bibliography

  1. Gallavotti, G., andS. Miracle-Sole: Statistical mechanics of lattice systems. Commun. Math. Phys.5, 317 (1967).

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  2. Robinson, D. W., andD. Ruelle: Mean entropy of states in classical statistical mechanics. Commun. Math. Phys.5, 288 (1967).

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  3. Ruelle, D.: J. Math. Phys.6, 201–220 (1965).

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  4. -- The states of classical statistical mechanics. Preprint.

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Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, 91. Bures-sur-Yvette, France

    D. Ruelle

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  1. D. Ruelle
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Ruelle, D. A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Commun.Math. Phys. 5, 324–329 (1967). https://doi.org/10.1007/BF01646446

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  • DOI: https://doi.org/10.1007/BF01646446

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