Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces
Statistical Mechanics
2010-10-27 v1
Abstract
We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation.
Cite
@article{arxiv.1004.4053,
title = {Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces},
author = {B. I. Henry and T. A. M Langlands and P. Straka},
journal= {arXiv preprint arXiv:1004.4053},
year = {2010}
}
Comments
5 pages