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

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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.

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Authors and Affiliations

  1. Department of Physics and Mathematics, Princeton University, Princeton, NJ, USA

    Michael Aizenman

  2. Department of Mathematics, Cornell University, Ithaca, NY, USA

    Sheldon Goldstein

  3. Laboratoire de Physique Théorique, CH_Lausanne, E.P.F., Switzerland

    Christian Gruber & Philippe Martin

  4. Department of Physics, Belfer Graduate School of Sciences, New York, NY, USA

    Joel L. Lebowitz

Authors
  1. Michael Aizenman
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  2. Sheldon Goldstein
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  3. Christian Gruber
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  4. Joel L. Lebowitz
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  5. Philippe Martin
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Additional information

Communicated by J. L. Lebowitz

Supported in part by NSF Grant MCS 75-21684

Supported in part by NSF Grant MPS 72-04534

Supported in part by NSF Grant MPS 75-20638

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Aizenman, M., Goldstein, S., Gruber, C. et al. On the equivalence between KMS-states and equilibrium states for classical systems. Commun.Math. Phys. 53, 209–220 (1977). https://doi.org/10.1007/BF01609847

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  • DOI: https://doi.org/10.1007/BF01609847

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