**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