### 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.

Original language | English (US) |
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Pages (from-to) | 1-14 |

Number of pages | 14 |

Journal | Communications In Mathematical Physics |

Volume | 48 |

Issue number | 1 |

DOIs | |

State | Published - Feb 1 1976 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Aizenman, M., Gallavotti, G., Goldstein, S., & Lebowitz, J. L. (1976). Stability and equilibrium states of infinite classical systems.

*Communications In Mathematical Physics*,*48*(1), 1-14. https://doi.org/10.1007/BF01609407