File(s) not publicly available
Cluster expansion in the canonical ensemble
journal contributionposted 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.
JournalCommunications in Mathematical Physics
Department affiliated with
- Mathematics Publications
Full text available