Weighted Mean Field Theory for the Random Field Ising Model

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.

15 pages of tex using harvmac. 8 postscript figures (fig3.ps is large) in a separate .uu file

References in corpus (4)

• Critical Exponents of the Three Dimensional Random Field Ising Model
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Glassy transition in the three-dimensional random field Ising model
• Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

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