Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit.

  title={Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit.},
  author={Nicol'as Tiz'on-Escamilla and Vivien Lecomte and Eric Bertin},
  journal={arXiv: Statistical Mechanics},
In this work we focus on fluctuations of time-integrated observables for a particle diffusing in a one-dimensional periodic potential in the weak-noise asymptotics. Our interest goes to rare trajectories presenting an atypical value of the observable, that we study through a biased dynamics in a large-deviation framework. We determine explicitly the effective probability-conserving dynamics which makes rare trajectories of the original dynamics become typical trajectories of the effective one… Expand

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