Statistical mechanics of a one-dimensional lattice gas

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_67_X016/P_67_X016.pdf

Ruelle, David

RUELLE

1967

Abstract : We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result of Van Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the system is represented by a measure which is invariant under the effect of lattice translations. The dynamical system defined by this invariant measure is shown to be a K-system.

MECANIQUE STATISTIQUE

P/67/X016

©IHES

Citer ce document

RUELLE, “Statistical mechanics of a one-dimensional lattice gas,” Archives de l'IHES, consulté le 8 septembre 2024, https://omeka.ihes.fr/document/P_67_X016.pdf.