Einstein Relation for Random Walks in Random Environments

Content Provider	Semantic Scholar
Author	Olla, Stefano
Abstract	We consider a tracer particle performing a nearest neighbor random walk on Z in dimension d ≥ 3 with random jump rates. This kind of a walk models the motion of a charged particle under a constant external electric field. We assume that the jump rates admit only two values 0 < γ− < γ+ < +∞, representing the lower and upper conductivities. We prove the existence of the mobility coefficient and that it equals to the diffusivity coefficient of the particle in zero external field.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.ceremade.dauphine.fr/~olla/reveinstbond912.pdf
Alternate Webpage(s)	https://www.ceremade.dauphine.fr/~olla/reveinstbond912.pdf
Language	English
Access Restriction	Open
Subject Keyword	Arabic numeral 0 Charge (electrical) Coefficient Single Linkage Cluster Analysis Tracer
Content Type	Text
Resource Type	Article