On the equivalence between KMS-states and equilibrium states for classical systems

Michael Aizenman; Sheldon Goldstein; Christian Gruber; Joel L. Lebowitz; Philippe Martin

doi:10.1007/BF01609847

On the equivalence between KMS-states and equilibrium states for classical systems

Michael Aizenman, Sheldon Goldstein, Christian Gruber, Joel L. Lebowitz, Philippe Martin

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23 Scopus citations

Abstract

It is shown that for any KMS-state of a classical system of non-coincident particles, the distribution functions are absolutely continuous with respect to Lebesgue measure; the equivalence between KMS states and Canonical Gibbs States is then established.

Original language	English (US)
Pages (from-to)	209-220
Number of pages	12
Journal	Communications In Mathematical Physics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/BF01609847
State	Published - Feb 1977

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the equivalence between KMS-states and equilibrium states for classical systems",

abstract = "It is shown that for any KMS-state of a classical system of non-coincident particles, the distribution functions are absolutely continuous with respect to Lebesgue measure; the equivalence between KMS states and Canonical Gibbs States is then established.",

author = "Michael Aizenman and Sheldon Goldstein and Christian Gruber and Lebowitz, \{Joel L.\} and Philippe Martin",

year = "1977",

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doi = "10.1007/BF01609847",

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volume = "53",

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journal = "Communications In Mathematical Physics",

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T1 - On the equivalence between KMS-states and equilibrium states for classical systems

AU - Aizenman, Michael

AU - Goldstein, Sheldon

AU - Gruber, Christian

AU - Lebowitz, Joel L.

AU - Martin, Philippe

PY - 1977/2

Y1 - 1977/2

N2 - It is shown that for any KMS-state of a classical system of non-coincident particles, the distribution functions are absolutely continuous with respect to Lebesgue measure; the equivalence between KMS states and Canonical Gibbs States is then established.

AB - It is shown that for any KMS-state of a classical system of non-coincident particles, the distribution functions are absolutely continuous with respect to Lebesgue measure; the equivalence between KMS states and Canonical Gibbs States is then established.

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DO - 10.1007/BF01609847

M3 - Article

AN - SCOPUS:0039449276

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SP - 209

EP - 220

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

On the equivalence between KMS-states and equilibrium states for classical systems

Abstract

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