Stability and equilibrium states of infinite classical systems

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

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Feb 1976

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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