Weighted mean-field theory for the random field Ising model

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, , Citation D Lancaster et al 1995 J. Phys. A: Math. Gen. 28 3959 DOI 10.1088/0305-4470/28/14/015

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1 Dipartimento di Fisica, Rome Univ., Italy

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0305-4470/28/14/3959

Abstract

We consider the mean-field theory of the random field Ising model obtained by weighing the many solutions of the mean-field equations with Boltzmann-like factors. These solutions are found numerically in three dimensions and we observe critical behaviour arising from the weighted sum. We estimate the exponents.

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