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Thermal fluctuations in some random field models

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Abstract

Exact identities are derived for a family of models including (a) a domain wall in a random field Ising model (RFIM), and (b) the random anisotropyXY model in the no-vortex approximation. In particular, the second moment of thermal fluctuations is not affected by frozen randomness. It is checked in a one-dimensional model that higher moments are on the contrary strongly enhanced. Thus, thermal fluctuations are strongly non-Gaussian. This reflects excursions between remote potential wells in the phase space. It is shown exactly that the Imry-Ma argument yields a correct evaluation of the field-induced fluctuations for the one-dimensional model.

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Authors and Affiliations

  1. IFF der KFA Jülich, Jülich, West Germany

    U. Schulz & J. Villain

  2. ENS, Paris, France

    E. Brézin

  3. CEN Saclay, France

    H. Orland

Authors
  1. U. Schulz
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  2. J. Villain
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  3. E. Brézin
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  4. H. Orland
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Schulz, U., Villain, J., Brézin, E. et al. Thermal fluctuations in some random field models. J Stat Phys 51, 1–27 (1988). https://doi.org/10.1007/BF01015318

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  • DOI: https://doi.org/10.1007/BF01015318

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