DIFFUSIVITY IN ONE-DIMENSIONAL GENERALIZED MOTT VARIABLE-RANGE HOPPING MODELS

• 成果类型: Article
• 署名作者: Caputo, P.; Faggionato, A.
• 署名单位: Roma Tre University; Sapienza University Rome
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/08-AAP583
• 发表日期: 2009
• 页码: 1459-1494
• 关键词: reversible markov-processes; random-walk; invariance-principle; percolation clusters; random environment; conductivity; wires; LAW

摘要

We consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of the random walk in the one-dimensional case. We prove various estimates on the low-temperature behavior which confirm and extend previous work by physicists.