Fractional Fokker-Planck dynamics: numerical algorithm and simulations

  • 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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Author:E. Heinsalu, Marco Patriarca, Igor GoychukORCiDGND, Gerhard SchmidGND, Peter HänggiORCiDGND
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Publishing Institution:Universität Augsburg
Release Date:2006/08/30
Tag:Fokker-Planck dynamics; periodic potential; normal diffusion; fractional diffusion
GND-Keyword:Fokker-Planck-Prozess; Periodisches Potenzial; Diffusion
Source:erschienen in: Physical Review E 73, 046133; DOI: 10.1103/PhysRevE.73.046133; url:
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik