NPAC Technical Report SCCS-329
Mean Field Solutions of the Random Ising Models
M Guagnelli, E Marinari, G Parisi
Submitted July 01 1992
Abstract
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.