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Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

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arxiv cond-mat/9303042 v1 pith:AAV5PJ6R submitted 1993-03-23 cond-mat hep-lathep-th

Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

classification cond-mat hep-lathep-th
keywords fieldmeanmodelsolutionequationsfindisingrandom
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this note we study the mean field equations for the $3d$ Random Field Ising Model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of $\beta$: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean field equation. We find that, inside a given solution, there are no divergent correlation lengths.

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