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arXiv · 2003.07624

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

Paulo C. Lima·Ricardo Lopes de Jesus·Aldo Procacci
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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 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.

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Paulo C. Lima, Ricardo Lopes de Jesus, Aldo Procacci. 2020-03-17. Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures. https://doi.org/10.1088/1742-5468/ab837d

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