The high temperature region of the Viana-Bray diluted spin glass model

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dc.creatorGuerra, Francesco
dc.creatorToninelli, Fabio Lucio
dc.date2003-02-20
dc.date.accessioned2026-07-07T06:21:18Z
dc.date.available2026-07-07T06:21:18Z
dc.descriptionIn this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin glass. In the whole replica symmetric region, we obtain a complete control of the system, proving annealing for the infinite volume free energy, and a central limit theorem for the suitably rescaled fluctuations of the multi-overlaps. Moreover, we show that free energy fluctuations, on the scale 1/N, converge in the infinite volume limit to a non-Gaussian random variable, whose variance diverges at the boundary of the replica-symmetric region. The connection with the fully connected Sherrington-Kirkpatrick model is discussed.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0302401
dc.identifierhttp://arxiv.org/abs/cond-mat/0302401
dc.identifierJournal of Statistical Physics Volume 115, Numbers 1-2, pp. 531-555 (2004).
dc.identifierdoi:10.1023/B:JOSS.0000019815.11115.54
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95557
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleThe high temperature region of the Viana-Bray diluted spin glass model
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