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DY: Dynamik und Statistische Physik

DY 26: Brownian Motion and Kinetic Theory II

DY 26.3: Talk

Tuesday, March 28, 2006, 16:45–17:00, H\"UL 186

Universal scaling in anomalous transport — •I. Goychuk¹, E. Heinsalu^1,2, 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.