Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm

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dc.creatorDeng, Youjin
dc.creatorGaroni, Timothy M.
dc.creatorMachta, Jonathan
dc.creatorOssola, Giovanni
dc.creatorPolin, Marco
dc.creatorSokal, Alan D.
dc.date2007-05-18
dc.date.accessioned2026-07-07T11:41:09Z
dc.date.available2026-07-07T11:41:09Z
dc.descriptionWe study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to noninteger q, in two and three spatial dimensions, by Monte Carlo simulation. We show that the Li-Sokal bound z \ge α/νis close to but probably not sharp in d=2, and is far from sharp in d=3, for all q. The conjecture z \ge β/νis false (for some values of q) in both d=2 and d=3.
dc.descriptionRevtex4, 4 pages including 4 figures
dc.identifierhttps://arxiv.org/abs/0705.2751
dc.identifierhttp://arxiv.org/abs/0705.2751
dc.identifierPhys.Rev.Lett.99:055701,2007
dc.identifierdoi:10.1103/PhysRevLett.99.055701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200436
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleDynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm
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