Mechanism for the failure of the Edwards hypothesis in the SK spin glass

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dc.creatorEastham, P. R.
dc.creatorBlythe, R. A.
dc.creatorBray, A. J.
dc.creatorMoore, M . A.
dc.date2006-01-18
dc.date2006-05-28
dc.date.accessioned2026-07-07T06:57:38Z
dc.date.available2026-07-07T06:57:38Z
dc.descriptionThe dynamics of the SK model at T=0 starting from random spin configurations is considered. The metastable states reached by such dynamics are atypical of such states as a whole, in that the probability density of site energies, $p(λ)$, is small at $λ=0$. Since virtually all metastable states have a much larger $p(0)$, this behavior demonstrates a qualitative failure of the Edwards hypothesis. We look for its origins by modelling the changes in the site energies during the dynamics as a Markov process. We show how the small $p(0)$ arises from features of the Markov process that have a clear physical basis in the spin-glass, and hence explain the failure of the Edwards hypothesis.
dc.description5 pages, new title, modified text, additional references
dc.identifierhttps://arxiv.org/abs/cond-mat/0601402
dc.identifierhttp://arxiv.org/abs/cond-mat/0601402
dc.identifierPhys. Rev. B 74, 020406(R) (2006)
dc.identifierdoi:10.1103/PhysRevB.74.020406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107042
dc.subjectDisordered Systems and Neural Networks
dc.titleMechanism for the failure of the Edwards hypothesis in the SK spin glass
dc.typetext

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