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Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model

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Abstract

In this paper we obtain the equivalence of the large deviation principle for Gibbs measures with and without an external field. For the Ising model, the equivalence allows us to study the result of competing influences of a positive external fieldh and a negative boundary condition in the cube (Λ(B/h) ash↘0 for variousB. We find a critical balance at a valueB 0 ofB.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, V6T 1Z2, Vancouver, British Columbia, Canada

    Priscilla E. Greenwood & Jiaming Sun

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  1. Priscilla E. Greenwood
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  2. Jiaming Sun
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Greenwood, P.E., Sun, J. Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model. J Stat Phys 86, 149–164 (1997). https://doi.org/10.1007/BF02180201

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  • DOI: https://doi.org/10.1007/BF02180201

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