The 2D-Ising model near criticality: a FK-percolation analysis

• 成果类型: Article
• 署名作者: Cerf, R.; Messikh, R. J.
• 署名单位: Universite Paris Saclay; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-010-0272-0
• 发表日期: 2011
• 页码: 193-217
• 关键词: order large deviations; wulff construction; exponential decay; phase-separation; potts; fluctuations; coexistence; crystal

摘要

We study the 2D-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large deviations estimates on FK-percolation events that concern the phenomenon of phase coexistence.