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Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces (1004.4053v1)
Published 23 Apr 2010 in cond-mat.stat-mech
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.