On the averaged dynamics of the random field Curie-Weiss model

• 成果类型: Article
• 署名作者: Fontes, LR; Mathieu, P; Picco, P
• 署名单位: Universidade de Sao Paulo; Aix-Marseille Universite; Aix-Marseille Universite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2000
• 页码: 1212-1245
• 关键词: random-energy-model; ising-model; fluctuations; systems

摘要

We describe the averaged over the disordered dynamics for the random field Curie-Weiss model. We consider both the magnetization and the full spin dynamics. Our approach is based on spectral asymptotics and includes results on the random fluctuations of eigenvalues and eigenvectors.