ON THE 2D ISING WULFF CRYSTAL NEAR CRITICALITY

• 成果类型: Article
• 署名作者: Cerf, R.; Messikh, R. J.
• 署名单位: Universite Paris Saclay
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/08-AOP449
• 发表日期: 2010
• 页码: 102-149
• 关键词: order large deviations; phase-separation; percolation; MODEL; potts; CONSTRUCTION; coexistence

摘要

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.