Positive correlations in the fuzzy Potts model

• 成果类型: Article
• 署名作者: Häggström, O
• 署名单位: Chalmers University of Technology
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1999
• 页码: 1149-1159
• 关键词: random-cluster process; site percolation; probability; uniqueness; lattice; z(2)

摘要

The fuzzy Potts model arises by taking the q-state Potts model, then identifying r of the Potts spins with the fuzzy spin 0, and the remaining q - r Potts spins with the fuzzy spin 1. Here we extend a result of Chayes by showing that the fuzzy Potts model has positive correlations. We also give an application to the percolation-theoretic behavior of the Potts model on Z(2).