Year: 1976

Authors: Michael Aizenman, Giovanni Gallavotti, Sheldon Goldstein, Joel L. Lebowitz

Title: Stability and Equilibrium States of Infinite Classical Systems
Communication in Mathematical Physics, 48, 1--14, 1976

Abstract: We prove that any stationary state describing an infinite classical system which is "stable" under local perturbations (and possesses some strong time clustering properties) must satisfy the "classical" KMS condition. (This in turn implies, quite generally, that it is a Gibbs state.) Similar results have been proven previously for quantum systems by Haag et al. and for finite classical systems by Lebowitz et al.

Key words:  Statistical Mechanics, KMS Condition, Essential selfadjointness, Classical mechanics, Gibbs states