Weighted Mean Field Theory for the Random Field Ising Model

David Lancaster; Enzo Marinari; Giorgio Parisi

doi:10.1088/0305-4470/28/14/015

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Weighted Mean Field Theory for the Random Field Ising Model

David Lancaster·Enzo Marinari·Giorgio Parisi

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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 behavior arising from the weighted sum. The resulting exponents are calculated.

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David Lancaster, Enzo Marinari, Giorgio Parisi. 1994-12-14. Weighted Mean Field Theory for the Random Field Ising Model. https://doi.org/10.1088/0305-4470%2F28%2F14%2F015

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