Langevin dynamics with dichotomous noise; direct simulation and applications
Abstract
We consider the motion of a Brownian particle moving in a potential field and driven by dichotomous noise with exponential correlation. Traditionally, the analytic as well as the numerical treatments of the problem, in general, rely on Fokker-Planck description. We present a method for direct numerical simulation of dichotomous noise to solve the Langevin equation. The method is applied to calculate nonequilibrium fluctuation induced current in a symmetric periodic potential using asymmetric dichotomous noise and compared to Fokker-Planck-Master equation based algorithm for a range of parameter values. Our second application concerns the study of resonant activation over a fluctuating barrier.
Keywords
Cite
@article{arxiv.cond-mat/0602556,
title = {Langevin dynamics with dichotomous noise; direct simulation and applications},
author = {Debashis Barik and Pulak Kumar Ghosh and Deb Shankar Ray},
journal= {arXiv preprint arXiv:cond-mat/0602556},
year = {2007}
}
Comments
Accepted in Journal of Statistical Mechanics: Theory and Experiment