Out-of-equilibrium dynamics of the Hopfield model in its spin-glass phase
dc.contributor.author | Montemurro, Marcelo A. | pt_BR |
dc.contributor.author | Tamarit, Francisco A. | pt_BR |
dc.contributor.author | Stariolo, Daniel Adrian | pt_BR |
dc.contributor.author | Cannas, Sergio A. | pt_BR |
dc.date.accessioned | 2014-09-23T02:12:43Z | pt_BR |
dc.date.issued | 2000 | pt_BR |
dc.identifier.issn | 1063-651X | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/103662 | pt_BR |
dc.description.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. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Physical review. E. Statistical physics, plasmas, fluids, and related interdisciplinary topics. Melville. Vol. 62, no. 4 (Oct. 2000), p. 5721-5728 | pt_BR |
dc.rights | Open Access | en |
dc.subject | Fenomenos criticos | pt_BR |
dc.subject | Ferromagnetismo | pt_BR |
dc.subject | Magnetização | pt_BR |
dc.subject | Vidros de spin | pt_BR |
dc.title | Out-of-equilibrium dynamics of the Hopfield model in its spin-glass phase | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000279143 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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