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String method for generalized gradient flows : computation of rare events in reversible stochastic processes
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Grafke, Tobias (2019) String method for generalized gradient flows : computation of rare events in reversible stochastic processes. Journal of Statistical Mechanics: Theory and Experiment, 2019 . 043206. doi:10.1088/1742-5468/ab11db ISSN 1742-5468.
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Official URL: https://doi.org/10.1088/1742-5468/ab11db
Abstract
Rare transitions in stochastic processes often can be rigorously described via an underlying large deviation principle. Recent breakthroughs in the classification of reversible stochastic processes as gradient flows have led to a connection of large deviation principles to a generalized gradient structure. Here, we show that, as a consequence, metastable transitions in these reversible processes can be interpreted as heteroclinic orbits of the generalized gradient flow. As a consequence, this suggests a numerical algorithm to compute the transition trajectories in configuration space efficiently, based on the string method traditionally restricted only to gradient diffusions.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | Journal of Statistical Mechanics: Theory and Experiment | ||||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||||
| ISSN: | 1742-5468 | ||||||
| Official Date: | 26 April 2019 | ||||||
| Dates: |
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| Volume: | 2019 | ||||||
| Article Number: | 043206 | ||||||
| DOI: | 10.1088/1742-5468/ab11db | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | “This is an author-created, un-copyedited version of an article accepted for Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1742-5468/ab11db” | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 14 March 2019 | ||||||
| Date of first compliant Open Access: | 26 April 2020 | ||||||
| Related URLs: | |||||||
| Open Access Version: |
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