On the 2D Ising Wulff crystal near criticality
arXiv:math/0603178 · doi:10.1214/08-AOP449
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.
Published in at http://dx.doi.org/10.1214/08-AOP449 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)