Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures

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 u...

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Bibliographic Details
Published in:Journal of statistical mechanics 2020-06, Vol.2020 (6), p.63202
Main Authors: Lima, Paulo C, Lopes de Jesus, Ricardo, Procacci, Aldo
Format: Article
Language:English
Subjects:
classical phase transitions
general equilibrium models
series expansions
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Summary: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.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/ab837d