Ferromagnetic phase transition for the spanning-forest model (q \to 0 limit of the Potts model) in three or more dimensions

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dc.creatorDeng, Youjin
dc.creatorGaroni, Timothy M.
dc.creatorSokal, Alan D.
dc.date2006-10-06
dc.date2007-01-17
dc.date.accessioned2026-07-07T10:24:16Z
dc.date.available2026-07-07T10:24:16Z
dc.descriptionWe present Monte Carlo simulations of the spanning-forest model (q \to 0 limit of the ferromagnetic Potts model) in spatial dimensions d=3,4,5. We show that, in contrast to the two-dimensional case, the model has a "ferromagnetic" second-order phase transition at a finite positive value w_c. We present numerical estimates of w_c and of the thermal and magnetic critical exponents. We conjecture that the upper critical dimension is 6.
dc.descriptionLaTex2e, 4 pages; includes 6 Postscript figures; Version 2 has expanded title as published in PRL
dc.identifierhttps://arxiv.org/abs/cond-mat/0610193
dc.identifierhttp://arxiv.org/abs/cond-mat/0610193
dc.identifierPhys.Rev.Lett.98:030602,2007
dc.identifierdoi:10.1103/PhysRevLett.98.030602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176125
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleFerromagnetic phase transition for the spanning-forest model (q \to 0 limit of the Potts model) in three or more dimensions
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