Cluster expansion for the Ising model in the canonical ensemble

Abstract

We show the validity of the cluster expansion in the canonical ensemble for the Ising model. We compare the lower bound of its radius of convergence with the one computed by the virial expansion working in the grand-canonical ensemble. Using the cluster expansion we give direct proofs with quantification of the higher order error terms for the decay of correlations, central limit theorem and large deviations.

References in corpus (6)

• Cluster expansion for abstract polymer models. New bounds from an old approach
• Cluster expansion in the canonical ensemble
• Convergence of Mayer and Virial expansions and the Penrose tree-graph identity
• Continuos particles in the Canonical Ensemble as an abstract polymer gas
• Finite volume corrections and decay of correlations in the canonical ensemble
• Local moderate and precise large deviations via cluster expansions