On the 2D Ising Wulff crystal near criticality
Probability
2016-09-07 v4
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.
Keywords
Cite
@article{arxiv.math/0603178,
title = {On the 2D Ising Wulff crystal near criticality},
author = {R. Cerf and R. J. Messikh},
journal= {arXiv preprint arXiv:math/0603178},
year = {2016}
}
Comments
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)