Griffiths-McCoy singularities, Lee-Yang zeros and the cavity method in a solvable diluted ferromagnet

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dc.creatorLaumann, C.
dc.creatorScardicchio, A.
dc.creatorSondhi, S. L.
dc.date2007-12-20
dc.date.accessioned2026-07-07T09:49:40Z
dc.date.available2026-07-07T09:49:40Z
dc.descriptionWe study the diluted Ising ferromagnet on the Bethe lattice as a case study for the application of the cavity method to problems with Griffiths-McCoy singularities. Specifically, we are able to make much progress at infinite coupling where we compute, from the cavity method, the density of Lee-Yang zeroes in the paramagnetic Griffiths region as well as the properties of the phase transition to the ferromagnet. This phase transition is itself of a Griffiths-McCoy character albeit with a power law distribution of cluster sizes.
dc.description11 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0712.3540
dc.identifierhttp://arxiv.org/abs/0712.3540
dc.identifierPhys. Rev. E 77, 061139 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.061139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164674
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleGriffiths-McCoy singularities, Lee-Yang zeros and the cavity method in a solvable diluted ferromagnet
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