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Canonical and grand canonical Gibbs states for continuum systems

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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.

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  1. Institut für Angewandte Mathematik der Universität, D-6900, Heidelberg, Federal Republic of Germany

    Hans-Otto Georgii

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  1. Hans-Otto Georgii
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Communicated by G. Gallavotti

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Georgii, HO. Canonical and grand canonical Gibbs states for continuum systems. Commun.Math. Phys. 48, 31–51 (1976). https://doi.org/10.1007/BF01609410

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  • DOI: https://doi.org/10.1007/BF01609410

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