Parts | Days | Selection | Search | Updates | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 10: Posters I
DY 10.24: Poster
Monday, March 14, 2011, 17:00–19:00, P4
Analyzing anomalous diffusion processes: the distribution of generalized diffusivities — •Tony Albers and Günter Radons — Chemnitz University of Technology, Germany
We propose a new tool for analyzing data from normal or anomalous diffusion processes: The distribution of generalized diffusivities pα(D,τ) is defined as the probability density of finding a squared displacement of duration τ, rescaled by its asymptotic time dependence τα. It describes the fluctuations appearing during the diffusion process around the mean anomalous diffusion coefficient, which can be obtained from the asymptotic behavior of the mean squared displacement (MSD) and is also equal to the first moment of the distribution pα(D,τ) for large τ. In comparison with the MSD we therefore obtain more information from the numerically or experimentally determined data. In this contribution we analyze with this new tool the diffusive transport in low and higher dimensional Hamiltonian systems and show with the help of modified continuous time random walks how the structures in phase space are reflected in the distribution of generalized diffusivities.