Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

Anomalous transport of a tracer on percolating clusters

Spanner, M., Höfling, F., Schröder-Turk, G.E., Mecke, K. and Franosch, T. (2011) Anomalous transport of a tracer on percolating clusters. Journal of Physics: Condensed Matter, 23 (23). p. 234120.

Link to Published Version:
*Subscription may be required


We investigate the dynamics of a single tracer exploring a course of fixed obstacles in the vicinity of the percolation transition for particles confined to the infinite cluster. The mean-square displacement displays anomalous transport, which extends to infinite times precisely at the critical obstacle density. The slowing down of the diffusion coefficient exhibits power-law behavior for densities close to the critical point and we show that the mean-square displacement fulfills a scaling hypothesis. Furthermore, we calculate the dynamic conductivity as a response to an alternating electric field. Last, we discuss the non-Gaussian parameter as an indicator for heterogeneous dynamics.

Item Type: Journal Article
Publisher: IOP Publishing Ltd.
Item Control Page Item Control Page