|Título||Out-of-equilibrium dynamics of the Hopfield model in its spin-glass phase
Montemurro, Marcelo A.
Tamarit, Francisco A.
Stariolo, Daniel Adrian
Cannas, Sergio A.
|Abstract||In this paper, we study numerically the out-of-equilibrium dynamics of the Hopfield model for associative memory inside its spin-glass phase. Aside from its interest as a neural network model, it can also be considered as a prototype of a fully connected magnetic system with randomness and frustration. By adjusting the ratio between the number of stored configurations p and the total number of neurons N, one can control the phase-space structure, whose complexity can vary between the simple mean-field ferromagnet (when p=1) and that of the Sherrington Kirkpatrick spin-glass model (for a properly taken limit of an infinite number of patterns). In particular, little attention has been devoted to the spin-glass phase of this model. In this paper, we analyze the two-time autocorrelation function, the decay of the magnetization and the distribution of overlaps between states. The results show that within the spin-glass phase of the model, the dynamics exhibits aging phenomena and presents features that suggest a non trivial breaking of replica symmetry.
|Contido em||Physical review. E. Statistical physics, plasmas, fluids, and related interdisciplinary topics. Melville. Vol. 62, no. 4 (Oct. 2000), p. 5721-5728
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|Tipo||Artigo de periódico
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