Adaptive minimum action method for the study of rare events

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Article number104111
Journal / PublicationJournal of Chemical Physics
Volume128
Issue number10
Publication statusPublished - 2008
Externally publishedYes

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-40949084353&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(7e8fd823-b7a4-4582-84f3-a9422fa18840).html

Abstract

An adaptive minimum action method is proposed for computing the most probable transition paths between stable equilibria in metastable systems that do not necessarily have an underlying energy function, by minimizing the action functional associated with such transition paths. This new algorithm uses the moving mesh strategy to adaptively adjust the grid points over the time interval of transition. Numerical examples are presented to demonstrate the efficiency of the adaptive minimum action method. © 2008 American Institute of Physics.

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Publication fingerprints text

100
Numerical Example Engineering
100
Grid Point Engineering
100
Energy Function Engineering
100
Stable Equilibrium Engineering
100
Moving Mesh Engineering
100
time interval τ Mathematics
100
Rare Event Mathematics
100
Action Functional Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Adaptive minimum action method for the study of rare events. / Zhou, Xiang; Ren, Weiqing; Weinan, E.
In: Journal of Chemical Physics, Vol. 128, No. 10, 104111, 2008.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review