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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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