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

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...

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Bibliographic Details
Main Authors: Bittner, Elmar (Author) , Janke, Wolfhard (Author)
Format: Article (Journal)
Language:English
Published: 4 September 2008
In: Journal of physics. A, Mathematical and theoretical
Year: 2008, Volume: 41, Issue: 39, Pages: 1-10
ISSN:1751-8121
DOI:10.1088/1751-8113/41/39/395001
Online Access:Verlag, Volltext: http://dx.doi.org/10.1088/1751-8113/41/39/395001
Verlag, Volltext: http://stacks.iop.org/1751-8121/41/i=39/a=395001
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Author Notes:Elmar Bittner and Wolfhard Janke
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Summary: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.
Item Description:Gesehen am 13.11.2017
Physical Description:Online Resource
ISSN:1751-8121
DOI:10.1088/1751-8113/41/39/395001