Exit Event from a Metastable State and Eyring-Kramers Law for the Overdamped Langevin Dynamics

Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In molecular dynamics, several algorithms have been designed over the past few years to accelerate the sampling of the exit event from a metastable domain, that is to say the time spent and the exit point from the domain. 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 [22, 23, 56]. 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.

Original languageEnglish
Title of host publicationStochastic Dynamics Out of Equilibrium - Institut Henri Poincaré, 2017
EditorsGiambattista Giacomin, Stefano Olla, Ellen Saada, Herbert Spohn, Gabriel Stoltz, Gabriel Stoltz
PublisherSpringer New York LLC
Pages331-363
Number of pages33
ISBN (Print)9783030150952
DOIs
Publication statusPublished - 1 Jan 2019
Externally publishedYes
EventInternational workshop on Stochastic Dynamics out of Equilibrium, IHPStochDyn 2017 - Paris, France
Duration: 12 Jun 201716 Jun 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume282
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational workshop on Stochastic Dynamics out of Equilibrium, IHPStochDyn 2017
Country/TerritoryFrance
CityParis
Period12/06/1716/06/17

Keywords

  • Exit event
  • Eyring-Kramers
  • Metastability
  • Overdamped Langevin

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