Current and universal scaling in anomalous transport

Details Current and universal scaling in anomalous transport Current and universal scaling in anomalous transport

2005-09-07

arxiv.org/abs/cond-mat/0509172v2

Phys. Rev. E 73, 020101 (2006) (Rapid Communication)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.73.020101

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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