Dresden 2006 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
DY: Dynamik und Statistische Physik
DY 26: Brownian Motion and Kinetic Theory II
DY 26.3: Vortrag
Dienstag, 28. März 2006, 16:45–17:00, H\"UL 186
Universal scaling in anomalous transport — •I. Goychuk1, E. Heinsalu1,2, M. Patriarca1, G. Schmid1, and P. Hänggi1 — 1Institut für Physik, Universität Augsburg, Germany — 2Institute of Theoretical Physics, Tartu University, Estonia
Anomalous transport in tilted periodic potentials is investigated within the framework of the fractional Fokker-Planck dynamics and the underlying continuous time random walk (CTRW). The analytical solution for the stationary anomalous current is obtained in closed form. We also derive a scaling law relating the anomalous biased diffusion to the anomalous current which is universally valid for tilted periodic potentials. The agreement between analytical results and numerical simulations confirms our findings.