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Communications in Mathematical Physics

, Volume 48, Issue 1, pp 31–51 | Cite as

Canonical and grand canonical Gibbs states for continuum systems

  • Hans-Otto Georgii
Article

Abstract

It is shown that for a large class of interactions any canonical Gibbs state satisfying a natural temperedness condition is a mixture of Gibbs states with appropriate activities, and vice versa. Some general results on Gibbs states and canonical Gibbs states are established. In particular, a differential characterization of Gibbs states is given.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics General Result 
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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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Hans-Otto Georgii
    • 1
  1. 1.Institut für Angewandte Mathematik der UniversitätHeidelbergFederal Republic of Germany

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