Comparison of Finite Volume Canonical and Grand Canonical Gibbs Measures: The Continuous Case |
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Authors: | Nicoletta Cancrini Christel Tremoulet |
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Affiliation: | (1) Dipartimento di Matematica, Università di LAquila and INFM Unità di Roma La Sapienza, Italia;(2) Département de mathématiques, Université de Cergy-Pontoise, site Saint Martin, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise-Cedex, France |
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Abstract: | We consider a continuous gas with finite range positive pair potential and we assume that the cluster expansion convergence condition holds. We prove a sharp bound on the difference between the finite volume grand canonical and canonical expectation of local observable. The bound is given in terms of the support of the observable, of its grand canonical variance and of the volume on which the system is confined. |
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Keywords: | Continuous systems Gibbs measures equivalence of ensembles. |
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