A mean-field theory for spin-glasses is constructed in terms of coexisting spontaneous symmetry breaking in a whole spectrum of localized eigenstates of the exchange interaction. The spectrum moves with time as the smallest frozen modes begin to disorder, providing a simple physical picture of the universally observed features of the time dependence of the susceptibility. Similar dynamics are expected in disordered ferromagnets.
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John Hertz (1983) studied this question.
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