Alternative solutions to diluted p-spin models and XORSAT problems

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dc.creatorMezard, M.
dc.creatorRicci-Tersenghi, F.
dc.creatorZecchina, R.
dc.date2002-07-04
dc.date2002-09-19
dc.date.accessioned2026-07-07T02:46:07Z
dc.date.available2026-07-07T02:46:07Z
dc.descriptionWe derive analytical solutions for p-spin models with finite connectivity at zero temperature. These models are the statistical mechanics equivalent of p-XORSAT problems in theoretical computer science. We give a full characterization of the phase diagram: location of the phase transitions (static and dynamic), together with a description of the clustering phenomenon taking place in configurational space. We use two alternative methods: the cavity approach and a rigorous derivation.
dc.description14 pages, 14 figures. v3: small errors corrected, simpler notation used
dc.identifierhttps://arxiv.org/abs/cond-mat/0207140
dc.identifierhttp://arxiv.org/abs/cond-mat/0207140
dc.identifierJ. Stat. Phys. 111, 505 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19547
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectDiscrete Mathematics
dc.titleAlternative solutions to diluted p-spin models and XORSAT problems
dc.typetext

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