Simulation of Potts models with real q and no critical slowing down

dc.creatorGliozzi, Ferdinando
dc.date2002-01-16
dc.date2002-05-24
dc.date.accessioned2026-07-07T12:16:36Z
dc.date.available2026-07-07T12:16:36Z
dc.descriptionA Monte Carlo algorithm is proposed to simulate ferromagnetic q-state Potts model for any real q>0. A single update is a random sequence of disordering and deterministic moves, one for each link of the lattice. A disordering move attributes a random value to the link, regardless of the state of the system, while in a deterministic move this value is a state function. The relative frequency of these moves depends on the two parameters q and beta. The algorithm is not affected by critical slowing down and the dynamical critical exponent z is exactly vanishing. We simulate in this way a 3D Potts model in the range 2<q<3 for estimating the critical value q_c where the thermal transition changes from second-order to first-order, and find q_c=2.620(5).
dc.description5 pages, 3 figures slightly extended version, to appear in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0201285
dc.identifierhttp://arxiv.org/abs/cond-mat/0201285
dc.identifierPhys.Rev.E66:016115,2002
dc.identifierdoi:10.1103/PhysRevE.66.016115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211855
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleSimulation of Potts models with real q and no critical slowing down
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