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

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

2010-04-23

arxiv.org/abs/1004.4053v1

Phys.Rev.Lett.105:170602,2010

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1103/PhysRevLett.105.170602

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.

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