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On the equivalence between KMS-states and equilibrium states for classical systems |
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| Authors: | Michael Aizenman Sheldon Goldstein Christian Gruber Joel L Lebowitz Philippe Martin |
| Institution: | (1) Department of Physics and Mathematics, Princeton University, Princeton, NJ, USA;(2) Department of Mathematics, Cornell University, Ithaca, NY, USA;(3) Laboratoire de Physique Théorique, CH_Lausanne, E.P.F., Switzerland;(4) Department of Physics, Belfer Graduate School of Sciences, New York, NY, USA |
| 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.Supported in part by NSF Grant MCS 75-21684Supported in part by NSF Grant MPS 72-04534Supported in part by NSF Grant MPS 75-20638 |
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