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Article Dans Une Revue Markov Processes And Related Fields Année : 2013

Kramers' law: Validity, derivations and generalisations

Résumé

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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Dates et versions

hal-00604399 , version 1 (28-06-2011)
hal-00604399 , version 2 (22-01-2013)

Identifiants

  • HAL Id : hal-00604399 , version 2

Citer

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