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On the 2D Ising Wulff crystal near criticality

R. Cerf·R. J. Messikh
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Abstract

We study the behavior of the two-dimensional Ising model in a finite box at temperatures that are below, but very close to, the critical temperature. In a regime where the temperature approaches the critical point and, simultaneously, the size of the box grows fast enough, we establish a large deviation principle that proves the appearance of a round Wulff crystal.

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R. Cerf, R. J. Messikh. 2006-03-08. On the 2D Ising Wulff crystal near criticality. https://doi.org/10.1214/08-aop449

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