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

Australia); Australia. (2) Department of Mathematics; B.I. Henry (1); Computing; P. Straka (1) ((1) Department of Applied Mathematics; School of Mathematics; Statistics; Sydney; T.A.M Langlands (2); Toowoomba Queensland

arxiv: 1004.4053 · v1 · pith:2G4S3LMBnew · submitted 2010-04-23 · ❄️ cond-mat.stat-mech

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

B.I. Henry (1) , T.A.M Langlands (2) , P. Straka (1) ((1) Department of Applied Mathematics , School of Mathematics , Statistics , University of New South Wales , Sydney , Australia. (2) Department of Mathematics

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Computing University of Southern Queensland Toowoomba Queensland Australia)

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classification ❄️ cond-mat.stat-mech

keywords equationderivedfokker-planckfractionalsubdiffusiontimebiasedboltzmann

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

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