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Finite volume corrections and decay of correlations in the canonical ensemble

journal contribution
posted on 2023-06-08, 21:47 authored by Elena Pulvirenti, Dimitrios Tsagkarogiannis
We consider a classical system of N particles confined in a box ??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/|?| plus an exponentially small error with the distance.

History

Publication status

  • Published

Journal

Journal of Statistical Physics

ISSN

0022-4715

Publisher

Springer

Issue

5

Volume

159

Page range

1017-1039

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2015-07-22

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