Replica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model

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dc.creatorJanis, V
dc.creatorKlic, A.
dc.creatorRingel, M.
dc.date2007-11-21
dc.date.accessioned2026-07-07T10:02:38Z
dc.date.available2026-07-07T10:02:38Z
dc.descriptionWe study hierarchies of replica-symmetry-breaking solutions of the Sherrington-Kirkpatrick model. Stationarity equations for order parameters of solutions with an arbitrary number of hierarchies are set and the limit to infinite number of hierarchical levels is discussed. In particular, we demonstrate how the continuous replica-symmetry breaking scheme of Parisi emerges and how the limit to infinite-many hierarchies leads to equations for the order-parameter function of the continuous solution. The general analysis is accompanied by an explicit asymptotic solution near the de Almeida-Thouless instability line in the nonzero magnetic field.
dc.description15 pages, 4 EPS figures
dc.identifierhttps://arxiv.org/abs/0711.3384
dc.identifierhttp://arxiv.org/abs/0711.3384
dc.identifierJ. Phys. A: Math. Theor. 41, 324004 (2008)
dc.identifierdoi:10.1088/1751-8113/41/32/324004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169043
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleReplica-symmetry breaking: discrete and continuous schemes in the Sherrington-Kirkpatrick model
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