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Application of Dobrushin's uniqueness theorem toN-Vector models

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Abstract

We apply Dobrushin's uniqueness theorem toN-Vector models to derive an upper bound of the critical temperature for unique equilibrium. In the case of isotropic ferromagnetic pair interactions this upper bound is the mean field critical temperature multiplied by a numerical factor.

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Authors and Affiliations

  1. Department of Physics, Princeton University, 08544, Princeton, NJ, USA

    Steven L. Levin

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  1. Steven L. Levin
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Additional information

Communicated by E. Lieb

Research supported by U.S. National Science Foundation under grants MCS-78-01885 (B.S.) and PHY-78-25390-A01 (E.H.L.)

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Levin, S.L. Application of Dobrushin's uniqueness theorem toN-Vector models. Commun.Math. Phys. 78, 65–74 (1980). https://doi.org/10.1007/BF01941969

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  • DOI: https://doi.org/10.1007/BF01941969

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