A boundary field induced first-order transition in the 2D Ising model

• Verfasst von: Bittner, Elmar [VerfasserIn]
• Verfasst von: Janke, Wolfhard [VerfasserIn]
• Titel: A boundary field induced first-order transition in the 2D Ising model
• Titelzusatz: numerical study
• Verf.angabe: Elmar Bittner and Wolfhard Janke
• E-Jahr: 2008
• Jahr: 4 September 2008
• Umfang: 10 S.
• Fussnoten: Gesehen am 13.11.2017
• Titel Quelle: Enthalten in: Journal of physics / A
• Ort Quelle: Bristol : IOP Publ., 2007
• Jahr Quelle: 2008
• Band/Heft Quelle: 41(2008), 39, Artikel-ID 395001, Seite 1-10
• ISSN Quelle: 1751-8121
• DOI: doi:10.1088/1751-8113/41/39/395001
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 156529470X

Abstract

In a recent paper, Clusel and Fortin ( 2006 J. Phys. A: Math. Gen. [/0305-4470/39/5/001] 39 995 ) 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 that where it propagates 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.