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Communications in Mathematical Physics

, Volume 5, Issue 5, pp 324–329 | Cite as

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

  • D. Ruelle
Article

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.

Keywords

Entropy Neural Network Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. 1.
    Gallavotti, G., andS. Miracle-Sole: Statistical mechanics of lattice systems. Commun. Math. Phys.5, 317 (1967).Google Scholar
  2. 2.
    Robinson, D. W., andD. Ruelle: Mean entropy of states in classical statistical mechanics. Commun. Math. Phys.5, 288 (1967).Google Scholar
  3. 3.
    Ruelle, D.: J. Math. Phys.6, 201–220 (1965).Google Scholar
  4. 4.
    -- The states of classical statistical mechanics. Preprint.Google Scholar

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • D. Ruelle
    • 1
  1. 1.Institut des Hautes Etudes Scientifiques91. Bures-sur-YvetteFrance

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