Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 22, 2012 | Submitted
Journal Article Open

Γ-Limit for Transition Paths of Maximal Probability

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.

Additional Information

© 2012 Springer Science+Business Media. The authors are grateful to Eric Vanden Eijnden for helpful discussions. AMS is grateful to EPSRC and ERC for financial support.

Attached Files

Submitted - 1101.3920.pdf

Files

1101.3920.pdf
Files (399.9 kB)
Name Size Download all
md5:c08a3fe8dccdf941197a6870dc6d6459
399.9 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024