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

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dc.creatorClusel, Maxime
dc.creatorFortin, Jean-Yves
dc.date2005-10-26
dc.date2005-12-16
dc.date.accessioned2026-07-07T06:45:32Z
dc.date.available2026-07-07T06:45:32Z
dc.descriptionWe present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A, 2849, 2005), we identify, using an asymptotic expansion in the thermodynamic limit, the transition line that separates the regime where the interface is localised near the boundary from the regime where it is propagating inside the bulk. In particular, the critical line has a strong dependence on the aspect ratio of the lattice.
dc.descriptionSubmitted to J.Phys.A
dc.identifierhttps://arxiv.org/abs/cond-mat/0510685
dc.identifierhttp://arxiv.org/abs/cond-mat/0510685
dc.identifierJournal of Physics A 39 (2006) 995
dc.identifierdoi:10.1088/0305-4470/39/5/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103068
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleBoundary field induced first order transition in the 2D Ising model: Exact study
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