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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. 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of Statistical Physics |
| Publisher: | Springer New York LLC |
| ISSN: | 0022-4715 |
| Date: | March 2012 |
| Volume: | Vol.146 |
| Number: | No.5 |
| Page Range: | pp. 955-974 |
| Identification Number: | 10.1007/s10955-012-0443-8 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/44810 |
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