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arXiv · 1811.06786

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

Tony Lelièvre·Dorian Le Peutrec·Boris Nectoux
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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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Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux. 2018-11-16. Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics. https://arxiv.org/abs/1811.06786

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