Stability and equilibrium states of infinite classical systems

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

doi:10.1007/BF01609407

Stability and equilibrium states of infinite classical systems

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

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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)
Pages (from-to)	1-14
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/BF01609407
State	Published - Feb 1976

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01609407

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AU - Lebowitz, Joel L.

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AB - 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.

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Stability and equilibrium states of infinite classical systems

Abstract

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