The mathematical structure of the dynamical theory for the soft-spin version of the p-spin-interaction ($p>2$) spin-glass model is related to that for the dynamical theories of the structural glass transition. The phase transitions predicted by both theories are discussed. The spin-glass transition predicted by the dynamical theory is related to a broken-replica-symmetry equilibrium calculation.
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Kirkpatrick et al. (1987) studied this question.
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