Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics

Abstract : In molecular dynamics, several algorithms have been designed over the past few years to accelerate the exit event from a metastable region of the configuration space. Some of them are based on the fact that the exit event from a metastable region is well approximated by a Markov jump process. In this work, we present recent results on the exit event from a metastable region for the overdamped Langevin dynamics obtained in [17, 18, 49]. These results aim in particular at justifying the use of a Markov jump process parametrized by the Eyring-Kramers law to model the exit event from a metastable region.
Type de document :
Pré-publication, Document de travail
2018
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Contributeur : Boris Nectoux <>
Soumis le : vendredi 16 novembre 2018 - 13:08:56
Dernière modification le : mercredi 19 décembre 2018 - 11:46:20

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  • HAL Id : hal-01696187, version 3
  • ARXIV : 1811.06786

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Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux. Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics. 2018. 〈hal-01696187v3〉

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