Fractional Fokker-Planck dynamics: Numerical algorithm and simulations
Statistical Mechanics
2009-11-11 v1
Abstract
Anomalous transport in a tilted periodic potential is investigated numerically within the framework of the fractional Fokker-Planck dynamics via the underlying CTRW. An efficient numerical algorithm is developed which is applicable for an arbitrary potential. This algorithm is then applied to investigate the fractional current and the corresponding nonlinear mobility in different washboard potentials. Normal and fractional diffusion are compared through their time evolution of the probability density in state space. Moreover, we discuss the stationary probability density of the fractional current values.
Cite
@article{arxiv.cond-mat/0603516,
title = {Fractional Fokker-Planck dynamics: Numerical algorithm and simulations},
author = {E. Heinsalu and M. Patriarca and I. Goychuk and G. Schmid and P. Hänggi},
journal= {arXiv preprint arXiv:cond-mat/0603516},
year = {2009}
}
Comments
10 pages, 9 figures