2015/08/31 by Aldo Procacci, Sergio A. Yuhjtman · 26 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Convergence (economics) #Graph theory and applications #Identity (music) #Markov Chains and Monte Carlo Methods #Radius of convergence #Series (stratigraphy) #Virial coefficient #Virial expansion #Virial theorem #math-ph #math.MP #msc:82B21
paper · pdf · doi:10.1007/s11005-016-0918-7
published in Letters in Mathematical Physics 107(1), 31-46 (Springer Science+Business Media) · Final version, to be published in Letters in Mathematical Physics
openalex created_date 2016/06/24 · openalex publication_date 2016/11/21 · arxiv created 2016/12/09 · arxiv updated 2016/12/12 · openalex updated_date 2026/08/05
We establish new lower bounds for the convergence radius of the Mayer series and the Virial series of a continuous particle system interacting via a stable and tempered pair potential. Our bounds considerably improve those given by Penrose and Ruelle in 1963 for the Mayer series and by Lebowitz and Penrose in 1964 for the Virial series. To get our results we exploit the tree-graph identity given by Penrose in 1967 using a new partition scheme based on minumum spanning trees.