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Cluster expansion in the canonical ensemble
journal contribution
posted on 2023-06-08, 15:45 authored by Elena Pulvirenti, Dimitrios TsagkarogiannisWe 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.
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Publication status
- Published
Journal
Communications in Mathematical PhysicsISSN
0010-3616Publisher
Springer VerlagExternal DOI
Issue
2Volume
316Page range
289-306Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2013-09-17Usage metrics
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