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Maximum entropy principles for disordered spins
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  • Published: December 1995

Maximum entropy principles for disordered spins

  • Timo Seppäläinen1 

Probability Theory and Related Fields volume 101, pages 547–576 (1995)Cite this article

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Summary

We transform nonstationary independent random fields with exponential Radon-Nikodym factors and study the asymptotics of the transformed processes. As applications we deduce conditional limit theorems for such random fields, and we study a Curie-Weiss-type mean-field model of a quenched mixed magnetic crystal. This model has quenched site disorder and frustration but non-random coupling constants. We find a continuous phase transition with critical exponents equal to those of the classical Curie-Weiss theory.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Vincent Hall 514, 206 Church St. S.E., 55455, Minneapolis, MN, USA

    Timo Seppäläinen

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  1. Timo Seppäläinen
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Seppäläinen, T. Maximum entropy principles for disordered spins. Probab. Th. Rel. Fields 101, 547–576 (1995). https://doi.org/10.1007/BF01202784

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  • Received: 06 May 1994

  • Revised: 31 October 1994

  • Issue Date: December 1995

  • DOI: https://doi.org/10.1007/BF01202784

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Mathematics Subject Classification (1991)

  • 60F10
  • 60K35
  • 82B44
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