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Erschienen in:
Stochastic Mean-Field Dynamics and Applications to Life Sciences Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

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

verfasst von : Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux

Erschienen in: Stochastic Dynamics Out of Equilibrium

Verlag: Springer International Publishing

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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.

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Vorheriges Kapitel Ergodic Properties of Quasi-Markovian Generalized Langevin Equations with Configuration Dependent Noise and Non-conservative Force
Nächstes Kapitel Collisional Relaxation and Dynamical Scaling in Multiparticle Collisions Dynamics
Fußnoten
1
Actually, all the results presented in this section are proved in [22, 23] in the more general setting: \(\overline{\varOmega }=\varOmega \cup \partial \varOmega \) is a \(C^{\infty }\) oriented compact and connected Riemannian manifold of dimension d with boundary \(\partial \varOmega \).
 
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Metadaten
Titel
Exit Event from a Metastable State and Eyring-Kramers Law for the Overdamped Langevin Dynamics
verfasst von
Tony Lelièvre
Dorian Le Peutrec
Boris Nectoux
Copyright-Jahr
2019
Buch
Stochastic Dynamics Out of Equilibrium

Print ISBN: 978-3-030-15095-2

Electronic ISBN: 978-3-030-15096-9

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-15096-9_9