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Fluctuations in the Curie-Weiss version of the random field Ising model

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Abstract

The fluctuations of the order parameter in the Curie-Weiss version of the Ising model with random magnetic field are computed. Away from criticality or at first-order critical points they have a Gaussian distribution with random (i. e.,sample-dependent) mean, thermal fluctuations contributing in same order as the fluctuations of the field; at second- or higher-order critical points, non-Gaussian sample-dependent distributions appear, and the fluctuations of the fields are enhanced, dominating over the thermal ones.

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Author notes

  1. J. M. G. Amaro de Matos

    Present address: INSEAD, Fontainebleau, France

Authors and Affiliations

  1. Sonderforschungsbereich 123, Universität Heidelberg, D-6900, Heidelberg 1, Germany

    J. M. G. Amaro de Matos

  2. Instituto de Fisica, Universidade de São Paulo, 01498, São Paulo, Brazil

    J. Fernando Perez

Authors
  1. J. M. G. Amaro de Matos
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  2. J. Fernando Perez
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Amaro de Matos, J.M.G., Perez, J.F. Fluctuations in the Curie-Weiss version of the random field Ising model. J Stat Phys 62, 587–608 (1991). https://doi.org/10.1007/BF01017975

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  • DOI: https://doi.org/10.1007/BF01017975

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