Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces

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.

5 pages

References in corpus (2)

• Use and Abuse of a Fractional Fokker-Planck Dynamics for Time-Dependent Driving
• Fractional Fokker-Planck subdiffusion in alternating fields