The replica-symmetry-breaking solution and the 'SK limit' of the Hopfield model

The replica-symmetry-breaking solution of the Hopfield model is formulated in order to investigate the multivalley structure of the rugged free energy. It is found that the resulting variational equations are equivalent to those for the Sherrington-Kirkpatrick (SK) model as a limit. Numerical solutions are obtained for the spin-glass phase. These provide us with a weight distribution of the valleys.

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