On the 2D Ising Wulff crystal near criticality

Details On the 2D Ising Wulff crystal near criticality On the 2D Ising Wulff crystal near criticality

2006-03-08

arxiv.org/abs/math/0603178v4

Annals of Probability 2010, Vol. 38, No. 1, 102-149

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/08-AOP449 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/08-AOP449

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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