Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics Chapitre d’ouvrage - Juillet 2019

Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux

Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux, « Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics  », in Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017., 2019, pp. 331-363

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.

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