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

17 Mar 2020 · Lima Paulo C., de Jesus Ricardo Lopes, Procacci Aldo ·

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

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