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.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cancrini, N., Tremoulet, C. Comparison of Finite Volume Canonical and Grand Canonical Gibbs Measures: The Continuous Case. J Stat Phys 117, 1023–1046 (2004). https://doi.org/10.1007/s10955-004-5714-6
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10955-004-5714-6