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|a eng
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|a Montemurro
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|a Out-of-equilibrium dynamics of the hopfield model in its spin-glass phase
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|c 2000
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|a Date Revised 20.11.2019
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a 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
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|t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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|g 62(2000), 4 Pt B vom: 27. Okt., Seite 5721-8
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|x 1063-651X
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