Fractional Fokker-Planck equations for subdiffusion with space- and time-dependent forces |
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| Authors: | Henry B I Langlands T A M Straka P |
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| Institution: | Department of Applied Mathematics, University of New South Wales, Sydney NSW, Australia. B.Henry@unsw.edu.au |
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| Abstract: | We derive 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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