Kramers' law: Validity, derivations and generalisations

Details Kramers' law: Validity, derivations and generalisations Kramers' law: Validity, derivations and generalisations

2011-06-28

arxiv.org/abs/1106.5799v1

Mathematics

Probability

24 pages, 9 figures

Scientific paper

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.

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