Finite volume corrections and decay of correlations in the canonical ensemble

Pulvirenti, Elena and Tsagkarogiannis, Dimitrios (2015) Finite volume corrections and decay of correlations in the canonical ensemble. Journal of Statistical Physics, 159 (5). pp. 1017-1039. ISSN 0022-4715

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Abstract

We consider a classical system of N particles confined in a box Λ⊂ℝd interacting via a finite range pair potential. Given the validity of the cluster expansion in the canonical ensemble we compute the error between the finite and the infinite volume free energy and estimate it to be bounded by the area of the surface of the box’s boundary over its volume. We also compute the truncated two-point correlation function and find that the contribution from the ideal gas case is of the order 1/|Λ| plus an exponentially small error with the distance.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Dimitrios Tsagkarogiannis
Date Deposited: 22 Jul 2015 08:17
Last Modified: 22 Jul 2015 08:17
URI: http://sro.sussex.ac.uk/id/eprint/55659
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