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Γ-limit for transition paths of maximal probability
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Pinski, F. J., Stuart, A. M. and Theil, Florian (2012) Γ-limit for transition paths of maximal probability. Journal of Statistical Physics, Vol.146 (No.5). pp. 955-974. doi:10.1007/s10955-012-0443-8 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-012-0443-8
Abstract
Chemical reactions can be modeled via diffusion processes conditioned to make a transition between specified molecular configurations representing the state of the system before and after the chemical reaction. In particular the model of Brownian dynamics-gradient flow subject to additive noise-is frequently used. If the chemical reaction is specified to take place on a given time interval, then the most likely path taken by the system is a minimizer of the Onsager-Machlup functional. The Γ-limit of this functional is determined explicitly in the case where the temperature is small and the transition time scales as the inverse temperature. © 2012 Springer Science+Business Media, LLC.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0022-4715 | ||||
Official Date: | March 2012 | ||||
Dates: |
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Volume: | Vol.146 | ||||
Number: | No.5 | ||||
Page Range: | pp. 955-974 | ||||
DOI: | 10.1007/s10955-012-0443-8 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 20 December 2015 | ||||
Date of first compliant Open Access: | 20 December 2015 |
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