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Correlation inequalities and contour estimates

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Abstract

We give a simple estimate on the probability of contours in classical ferromagnetic spin systems, based on Griffiths' or Ginibre's correlation inequalities. This includes quite general one- and two-component spin models. Some extension also holds for alln-component anisotropic or isotropic rotators.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, New Jersey

    Jean Bricmont

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, New Jersey

    Jean-Raymond Fontaine

Authors
  1. Jean Bricmont
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  2. Jean-Raymond Fontaine
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Additional information

Supported by NSF grant No. MCS78-01885.

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

Supported by NSF grant No. PHY78-15920.

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Bricmont, J., Fontaine, JR. Correlation inequalities and contour estimates. J Stat Phys 26, 745–753 (1981). https://doi.org/10.1007/BF01010936

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  • DOI: https://doi.org/10.1007/BF01010936

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