The States of classical statistical mechanics

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_66_02/P_66_02.pdf

Ruelle, David

RUELLE

1966

Abstract : a state of an infinite system in classical statistical mechanics is usually described by its correlation functions. We discuss here other description in particular as 1) a state on a B*-algebras, 2) a collection of density distributions, 3) a field theory 4) a mesure on a space of configurations of infitely many particles. We consier the relations between these various descriptions and prove under very general conditions an integral representation of a state as superposition of extremal invariant states corresponding to pure thermodynamical phases.

MECANIQUE STATISTIQUE

P/66/02

©IHES

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RUELLE, “The States of classical statistical mechanics,” Archives de l'IHES, consulté le 9 septembre 2024, https://omeka.ihes.fr/document/P_66_02.pdf.