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Cluster expansion in the canonical ensemble

journal contribution
posted on 2023-06-08, 15:45 authored by Elena Pulvirenti, Dimitrios Tsagkarogiannis
We consider a system of particles confined in a box ??Rd interacting via a tempered and stable pair potential. We prove the validity of the cluster expansion for the canonical partition function in the high temperature - low density regime. The convergence is uniform in the volume and in the thermodynamic limit it reproduces Mayer’s virial expansion providing an alternative and more direct derivation which avoids the deep combinatorial issues present in the original proof.

History

Publication status

  • Published

Journal

Communications in Mathematical Physics

ISSN

0010-3616

Publisher

Springer Verlag

Issue

2

Volume

316

Page range

289-306

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-17

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