Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures
| Autor: | Ricardo Lopes de Jesus, Aldo Procacci, Paulo C. Lima |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Physics Series (mathematics) Mathematical analysis 82B20 FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Absolute convergence Upper and lower bounds Condensed Matter::Disordered Systems and Neural Networks FOS: Mathematics Condensed Matter::Statistical Mechanics Mathematics - Combinatorics Combinatorics (math.CO) Statistics Probability and Uncertainty Series expansion Energy (signal processing) Mathematical Physics |
| Popis: | 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 term 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. To appear in Journal of Statistical Mechanics: Theory and Experiment |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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