Gamma Limit for Transition Paths of Maximal Probability
arXiv:1101.3920 · doi:10.1007/s10955-012-0443-8
Abstract
Chemical reactions can be modelled 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 Gamma limit of this functional is determined in the case where the temperature is small and the transition time scales as the inverse temperature
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Cited by in corpus (6)
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- Most probable transition paths in piecewise-smooth stochastic differential equations
- Γ-convergence of Onsager-Machlup functionals. Part II: Infinite product measures on Banach spaces
- Gaussian approximations for transition paths in Brownian dynamics