.png){kind=icon}
.png){kind=icon}
Return
Einstein relation for reversible diffusions in a random environment
.png){kind=icon}
OA
AI
DOI：10.1002/cpa.20389.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We consider reversible diffusions in a random environment and prove the Einstein relation for this model. It says that the derivative at 0 of the effective velocity under an additional local drift equals the diffusivity of the model without drift. The Einstein relation is conjectured to hold for a variety of models but so far it has only been proved in particular cases. Our proof makes use of homogenization arguments, the Girsanov transform, and a refinement of the regeneration times introduced by Shen. (C) 2011 Wiley Periodicals, Inc.
Keywords:
MARKOV-PROCESSES
RANDOM-WALK
INVARIANCE-PRINCIPLE
MOTT LAW
HOMOGENIZATION
PARTICLE
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.7
Papers:
1.5K
Citations:
1.1W
View more organizations