Fractional Fokker-Planck dynamics: Numerical algorithm and simulations

Details Fractional Fokker-Planck dynamics: Numerical algorithm and simulations Fractional Fokker-Planck dynamics: Numerical algorithm and simulations

2006-03-20

arxiv.org/abs/cond-mat/0603516v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 9 figures

Scientific paper

10.1103/PhysRevE.73.046133

Anomalous transport in a tilted periodic potential is investigated numerically within the framework of the fractional Fokker-Planck dynamics via the underlying CTRW. An efficient numerical algorithm is developed which is applicable for an arbitrary potential. This algorithm is then applied to investigate the fractional current and the corresponding nonlinear mobility in different washboard potentials. Normal and fractional diffusion are compared through their time evolution of the probability density in state space. Moreover, we discuss the stationary probability density of the fractional current values.

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