Boundary field induced first-order transition in the 2D Ising model: numerical study

dc.creatorBittner, Elmar
dc.creatorJanke, Wolfhard
dc.date2008-09-03
dc.date.accessioned2026-07-07T10:00:36Z
dc.date.available2026-07-07T10:00:36Z
dc.descriptionIn a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified the transition that separates the regime where the interface is localized near the boundary from the one where it is propagating inside the bulk. Inspired by these results, we measured the interface tension by using multimagnetic simulations combined with parallel tempering to determine the phase transition and the location of the interface. Our results are in very good agreement with the theoretical predictions. Furthermore, we studied the spin-spin correlation function for which no analytical results are available.
dc.description12 pages, 7 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/0809.0577
dc.identifierhttp://arxiv.org/abs/0809.0577
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 395001
dc.identifierdoi:10.1088/1751-8113/41/39/395001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168362
dc.subjectStatistical Mechanics
dc.titleBoundary field induced first-order transition in the 2D Ising model: numerical study
dc.typetext

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