Ising spin glass models versus Ising models: an effective mapping at high temperature I. General result

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dc.creatorOstilli, Massimo
dc.date2006-07-19
dc.date.accessioned2026-07-07T07:16:05Z
dc.date.available2026-07-07T07:16:05Z
dc.descriptionWe show that, above the critical temperature, if the dimension D of a given Ising spin glass model is sufficiently high, its free energy can be effectively expressed through the free energy of a related Ising model. When, in a large sense, D is infinite, in the paramagnetic phase and on its boundary the mapping is exact. In this limit the method provides a general and simple rule to obtain exactly the upper phase boundaries. We provide even simple effective rules to find crossover surfaces and correlation functions. We apply the mapping to several spin glass models.
dc.description38 pages, 12 Postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607498
dc.identifierhttp://arxiv.org/abs/cond-mat/0607498
dc.identifierJ. Stat. Mech. (2006) P10004
dc.identifierdoi:10.1088/1742-5468/2006/10/P10004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113457
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleIsing spin glass models versus Ising models: an effective mapping at high temperature I. General result
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