Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.5: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Weak ergodicity breaking and ageing in subdiffusive continuous time random walks analyzed with the distribution of generalized diffusivities — •Tony Albers and Günter Radons — Chemnitz University of Technology, Germany

We investigate the continuous time random walk (CTRW) model with an algebraically decaying waiting time distribution which does not have a finite first moment. This subdiffusive process is known to show interesting phenomena such as weak ergodicity breaking and ageing. As a consequence, ensemble- and time-averaged quantities do not coincide, time averages become random variables, and statistical quantities depend on the elapsed time between the start of the process and the start of the measurement. In this contribution we are going to introduce a new analysis tool for anomalous diffusion, the distribution of generalized diffusivities, which describes the fluctuations during the diffusion process around the generalized diffusion coefficient that can be obtained from the asymptotic behavior of the conventionally investigated mean squared displacement. How this analysis can be used to identify subdiffusive CTRWs in the experiment and how it leads to a deeper understanding of weak ergodicity breaking and ageing will be shown.