2020/05/31 by Giuseppe Scola · 1 citation
Mathematics · Physics and Astronomy · #Canonical ensemble #Cluster (spacecraft) #Cluster expansion #Convergence (economics) #Ising model #Limit (mathematics) #Radius of convergence #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Virial coefficient #Virial expansion #math-ph #math.MP #math.PR #msc:60F05 #msc:60F10 #msc:82B05 #msc:82B20
paper · pdf · doi:10.1007/s11040-021-09377-3
published in Mathematical Physics Analysis and Geometry 24(2) (Springer Science+Business Media)
openalex created_date 2020/06/05 · arxiv created 2021/02/01 · openalex publication_date 2021/03/17 · arxiv updated 2021/03/23 · openalex updated_date 2026/08/05
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.