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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  • MATHEMATICAL PHYSICS
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  • MATHEMATICAL PHYSICS