Current and universal scaling in anomalous transport

I. Goychuk, E. Heinsalu, M. Patriarca, G. Schmid, P. Hänggi
2006 Physical Review E  
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
more » ... shapes for the periodic potential, being either symmetric or ratchet-like ones.
doi:10.1103/physreve.73.020101 pmid:16605310 fatcat:va5iz2qi6fbo5iyh2sae66qeee