Hierarchical solutions of the Sherrington-Kirkpatrick model: Exact asymptotic behavior near the critical temperature

Simple item page
dc.creatorJanis, V.
dc.creatorKlic, A.
dc.date2005-12-19
dc.date2006-08-17
dc.date.accessioned2026-07-07T10:02:56Z
dc.date.available2026-07-07T10:02:56Z
dc.descriptionWe analyze the replica-symmetry-breaking construction in the Sherrington-Kirkpatrick model of a spin glass. We present a general scheme for deriving an exact asymptotic behavior near the critical temperature of the solution with an arbitrary number of discrete hierarchies of the broken replica symmetry. We show that all solutions with finite-many hierarchies are unstable and only the scheme with infinite-many hierarchies becomes marginally stable. We show how the solutions from the discrete replica-symmetry-breaking scheme go over to the continuous one with increasing the number of hierarchies.
dc.descriptionREVTeX4, 11 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0512450
dc.identifierhttp://arxiv.org/abs/cond-mat/0512450
dc.identifierPhys. Rev. B74, 054410 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.054410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169150
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleHierarchical solutions of the Sherrington-Kirkpatrick model: Exact asymptotic behavior near the critical temperature
dc.typetext

Files

Collections

arXiv