2020/03/17 by Paulo C. Lima, Paulo C Lima, Ricardo Lopes de Jesus +1 · 2 citations
Mathematics · Physics and Astronomy · #Absolute convergence #Absolute zero #Convergence (economics) #Energy (signal processing) #Random Matrices and Applications #Series (stratigraphy) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Upper and lower bounds #math-ph #math.CO #math.MP #msc:82B20
paper · pdf · doi:10.1088/1742-5468/ab837d
published in Journal of Statistical Mechanics Theory and Experiment 2020(6), 063202 (Institute of Physics) · To appear in Journal of Statistical Mechanics: Theory and Experiment
arxiv created 2020/03/17 · openalex created_date 2020/03/23 · openalex publication_date 2020/06/01 · arxiv updated 2020/08/26 · openalex updated_date 2026/08/05
Abstract We analyze the d -dimensional Blume–Emery–Griffiths model in the disordered region of parameters and we show that its free energy can be explicitly written in terms of a series which is absolutely convergent at any temperature in an unbounded portion of this region. As a byproduct we also obtain an upper bound for the number of d -dimensional fixed polycubes of size n .