KINETICALLY CONSTRAINED MODELS WITH RANDOM CONSTRAINTS

• 成果类型: Article
• 署名作者: Shapira, Assaf
• 署名单位: Universite Paris Cite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/19-AAP1527
• 发表日期: 2020
• 页码: 987-1006
• 关键词: bootstrap percolation; PHASE-TRANSITION; metastability; threshold; sharpness; DYNAMICS

摘要

We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on Z(2), where the update threshold is either 1 or 2. The second is a mixture of the Fredrickson-Andersen 1-spin facilitated constraint and the North-East constraint in Z(2). We compare three time scales related to these models-the bootstrap percolation time for emptying the origin, the relaxation time of the kinetically constrained model, and the time for emptying the origin of the kinetically constrained model-and understand the effect of the random environment on each of them.