On the 2D Ising Wulff crystal near criticality
Cerf, R. ; Messikh, R. J.
Ann. Probab., Tome 38 (2010) no. 1, p. 102-149 / Harvested from Project Euclid
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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.
Publié le : 2010-01-15
Classification:  Large deviations,  criticality,  phase coexistence,  Wulff shape,  Ising model,  60F10,  60K35 
@article{1264433994,
     author = {Cerf, R. and Messikh, R. J.},
     title = {On the 2D Ising Wulff crystal near criticality},
     journal = {Ann. Probab.},
     volume = {38},
     number = {1},
     year = {2010},
     pages = { 102-149},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264433994}
}

Cerf, R.; Messikh, R. J. On the 2D Ising Wulff crystal near criticality. Ann. Probab., Tome 38 (2010) no. 1, pp.  102-149. http://gdmltest.u-ga.fr/item/1264433994/