Current and universal scaling in anomalous transport

  • Anomalous transport in tilted periodic potentials is investigated within the framework of the fractional Fokker-Planck dynamics and the underlying continuous time random walk. The analytical solution for the stationary, anomalous current is obtained in closed form. We derive a universal scaling law for anomalous diffusion occurring in tilted periodic potentials. This scaling relation is corroborated with precise numerical studies covering wide parameter regimes and different shapes for the periodic potential, being either symmetric or ratchet-like ones.

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Author:Igor GoychukORCiDGND, E. Heinsalu, Marco Patriarca, Gerhard SchmidGND, Peter HänggiORCiDGND
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Publishing Institution:Universität Augsburg
Release Date:2006/08/31
Tag:diffusion; Fokker-Planck equation; random processes
GND-Keyword:Diffusion; Fokker-Planck-Prozess; Irrfahrtsproblem
Source:erschienen in: Phys. Rev. E 73, 020101 (2006); DOI: 10.1103/PhysRevE.73.020101; 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