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Extremal Λ-inequalities for Ising models with pair interactions

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Abstract

The inequalities for spin correlation functions of ferromagnetic Ising models with pair interactions derived in a previous paper are studied in more detail. It is shown that each of these inequalities is a positive linear combination of a finite number of “extremal” inequalities, which can in principle be determined and of which a number of examples is given.

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Authors and Affiliations

  1. Instituut-Lorentz voor Theoretische Natuurkunde, Rijksuniversiteit Leiden, Leiden, The Netherlands

    P. W. Kasteleyn & R. J. Boel

Authors
  1. P. W. Kasteleyn
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  2. R. J. Boel
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Communicated by E. Lieb

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Kasteleyn, P.W., Boel, R.J. Extremal Λ-inequalities for Ising models with pair interactions. Commun.Math. Phys. 66, 167–179 (1979). https://doi.org/10.1007/BF01197333

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  • DOI: https://doi.org/10.1007/BF01197333

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