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Periodic Gibbs states of ferromagnetic spin systems

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Abstract

We give a complete description of the set of periodic Gibbs states at low temperatures for classical spin systems with arbitrary ferromagnetic, finite-range, interactions and fairly general even single-spin distribution of compact support on R. This extends results of Holsztynski and Slawny for the spin-1/2 case. The extension is based on recent ferromagnetic inequalities and low-temperature expansions.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, New Jersey

    Jean Bricmont

  2. Department of Mathematics and Physics, Rutgers University, New Brunswick, New Jersey

    Joel L. Lebowitz

  3. Departement de Mathematiques, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Charles E. Pfister

Authors
  1. Jean Bricmont
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  2. Joel L. Lebowitz
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  3. Charles E. Pfister
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Additional information

This work was supported in part by NSF Grant PHY78-15920 and (through author CEP) the Swiss National Foundation for Scientific Research.

On leave from Institut de Physique Théorique, Université de Louvain, Belgium.

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Bricmont, J., Lebowitz, J.L. & Pfister, C.E. Periodic Gibbs states of ferromagnetic spin systems. J Stat Phys 24, 269–277 (1981). https://doi.org/10.1007/BF01007648

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  • DOI: https://doi.org/10.1007/BF01007648

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