Transition times in the low-noise limit of stochastic dynamics

Details Transition times in the low-noise limit of stochastic dynamics Transition times in the low-noise limit of stochastic dynamics

2009-10-13

arxiv.org/abs/0910.2282v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 6 figures

Scientific paper

We study the transition time distribution for a particle moving between two wells of a multidimensional potential in the low-noise limit of overdamped Langevin dynamics. Possible transition paths are restricted to a thin tube surrounding the most probable trajectory. We demonstrate that finding the transition time distribution reduces to a one-dimensional problem. The resulting transition time distribution has a universal and compact form. We suggest that transition barriers can be estimated from a single-temperature experiment if both the life times and the transition times are measured.

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