Cluster Percolation in O(n) Spin Models

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dc.creatorBlanchard, P.
dc.creatorDigal, S.
dc.creatorFortunato, S.
dc.creatorGandolfo, D.
dc.creatorMendes, T.
dc.creatorSatz, H.
dc.date2000-07-24
dc.date2000-10-14
dc.date.accessioned2026-07-07T10:51:55Z
dc.date.available2026-07-07T10:51:55Z
dc.descriptionThe spontaneous symmetry breaking in the Ising model can be equivalently described in terms of percolation of Wolff clusters. In O(n) spin models similar clusters can be built in a general way, and they are currently used to update these systems in Monte Carlo simulations. We show that for 3-dimensional O(2), O(3) and O(4) such clusters are indeed the physical `islands' of the systems, i.e., they percolate at the physical threshold and the percolation exponents are in the universality class of the corresponding model. For O(2) and O(3) the result is proven analytically, for O(4) we derived it by numerical simulations.
dc.description11 pages, 8 figures, 2 tables, minor modifications
dc.identifierhttps://arxiv.org/abs/hep-lat/0007035
dc.identifierhttp://arxiv.org/abs/hep-lat/0007035
dc.identifierJ.Phys.A33:8603-8614,2000
dc.identifierdoi:10.1088/0305-4470/33/48/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184986
dc.subjectHigh Energy Physics - Lattice
dc.subjectCondensed Matter
dc.titleCluster Percolation in O(n) Spin Models
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