Persistence distributions for non-Gaussian Markovian processes
Laboratoire de Physique UMR CNRS 5672 - ENS de Lyon
69364 Lyon Cedex 07, France
Accepted: 22 September 2000
We propose a systematic method to derive the asymptotic behaviour of the persistence distribution, for a large class of stochastic processes described by a general Fokker-Planck equation in one dimension. Theoretical predictions are compared to simple solvable systems and to numerical calculations. The very good agreement attests the validity of this approach.
PACS: 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2000