On the dynamics of Kac $p$-spin glasses

dc.creatorFranz, Silvio
dc.date2006-04-03
dc.date.accessioned2026-07-07T10:02:56Z
dc.date.available2026-07-07T10:02:56Z
dc.descriptionThis paper discusses the dynamical properties of $p$-spin models with Kac kind interactions. For large but finite interaction range $R$ one finds two different time scales for relaxation. A first relaxation roughly independent of $R$ where the system is confined to limited regions of the configuration space and an $R$ dependent time scale where the system is able to escape the confining regions. I will argue that the $R$ independent time scales can be described through dynamical mean field theory, while non-perturbative new techniques have to be used to deal with the $R$ dependent scales.
dc.descriptionSubmitted to JSP Special Issue on the Cortona Meeting "Mathematical Physics of Spin Glasses", Cortona (Italy), June 27 - July 2, 2005
dc.identifierhttps://arxiv.org/abs/cond-mat/0604053
dc.identifierhttp://arxiv.org/abs/cond-mat/0604053
dc.identifierJournal of Statistical Physics, Vol. 126, Nos. 4/5, February/March 2007
dc.identifierdoi:10.1007/s10955-006-9196-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169151
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleOn the dynamics of Kac $p$-spin glasses
dc.typetext

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