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On Decay of Correlations for Unbounded Spin Systems with Arbitrary Boundary Conditions

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Abstract

We propose a method based on cluster expansion to study the truncated correlations of unbounded spin systems uniformly in the boundary condition and in a possible external field. By this method we study the spin–spin truncated correlations of various systems, including the case of infinite range simply integrable interactions, and we show how suitable boundary conditions and/or external fields may improve the decay of the correlations.

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Authors and Affiliations

  1. Departamento de Matematica, ICEx - UFMG, Belo Horizonte, Brazil

    Aldo Procacci

  2. Dipartimento di Matematica, Universitá “La Sapienza” di Roma, Piazzale A. Moro 2, 00185, Roma, Italy

    Benedetto Scoppola

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  1. Aldo Procacci
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  2. Benedetto Scoppola
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Procacci, A., Scoppola, B. On Decay of Correlations for Unbounded Spin Systems with Arbitrary Boundary Conditions. Journal of Statistical Physics 105, 453–482 (2001). https://doi.org/10.1023/A:1012267523688

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  • DOI: https://doi.org/10.1023/A:1012267523688

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