Transition times in the low-noise limit of stochastic dynamics

Abstract

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.

12 pages, 6 figures

References in corpus (6)

• Fluctuation theorems for stochastic dynamics
• Path-integral analysis of fluctuation theorems for general Langevin processes
• Paths of fluctuation induced switching
• Statistics of Entropy Production in Linearized Stochastic System
• Non-Equilibrium Thermodynamics and Topology of Currents
• Switching path distribution in multi-dimensional systems

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• Stochastic Dynamics of Extended Objects in Driven Systems II: Current Quantization in the Low-Temperature Limit