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Absence of Phase Transitions in a Class of Integer Spin Systems

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Abstract

We exhibit a class of integer spin systems whose free energy can be written in term of an absolutely convergent series at any temperature. This class includes spin systems on ℤd interacting through infinite range pair potential polynomially decaying at large distances r at a rate 1/r d+ε with ε>0. It also contains the Blume-Emery-Griffiths model in the disordered phase at large values of the crystal field.

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Authors and Affiliations

  1. Dep. Matemática-ICEx, UFMG, CP 702, Belo Horizonte, 30161-970, Brazil

    Thiago Morais & Aldo Procacci

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  1. Thiago Morais
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  2. Aldo Procacci
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Correspondence to Aldo Procacci.

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Morais, T., Procacci, A. Absence of Phase Transitions in a Class of Integer Spin Systems. J Stat Phys 136, 677–684 (2009). https://doi.org/10.1007/s10955-009-9799-9

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  • DOI: https://doi.org/10.1007/s10955-009-9799-9

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