Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Poster II
DY 30.31: Poster
Thursday, March 29, 2007, 16:00–18:00, Poster D
Boundary field induced first-order transition in the 2D Ising model: numerical study — •Elmar Bittner and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
In 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 2D 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. To confirm the analytical results, we performed multimagnetic simulations and measured the probability density of the magnetisation and the spin-spin correlation function to determine the phase transition and the location of the interface. Our results are in very good agreement with the theoretical prediction.