Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics
Analysis of PDEs
2018-11-19 v1
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.
Keywords
Cite
@article{arxiv.1811.06786,
title = {Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics},
author = {Tony Lelièvre and Dorian Le Peutrec and Boris Nectoux},
journal= {arXiv preprint arXiv:1811.06786},
year = {2018}
}