Kramers' law: Validity, derivations and generalisations
Probability
2013-10-17 v2 Mathematical Physics
History and Overview
math.MP
Abstract
Kramers' law describes the mean transition time of an overdamped Brownian particle between local minima in a potential landscape. We review different approaches that have been followed to obtain a mathematically rigorous proof of this formula. We also discuss some generalisations, and a case in which Kramers' law is not valid. This review is written for both mathematicians and theoretical physicists, and endeavours to link concepts and terminology from both fields.
Keywords
Cite
@article{arxiv.1106.5799,
title = {Kramers' law: Validity, derivations and generalisations},
author = {Nils Berglund},
journal= {arXiv preprint arXiv:1106.5799},
year = {2013}
}
Comments
26 pages, 9 figures