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Kramers' law: Validity, derivations and generalisations

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.
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Contributor : Nils Berglund <>
Submitted on : Tuesday, January 22, 2013 - 9:43:42 PM
Last modification on : Thursday, December 19, 2019 - 2:18:10 AM
Long-term archiving on: : Tuesday, April 23, 2013 - 3:58:17 AM

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Nils Berglund. Kramers' law: Validity, derivations and generalisations. Markov Processes and Related Fields, Polymath, 2013, 19 (3), pp.459-490. ⟨hal-00604399v2⟩

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