Anomalous transport of a tracer on percolating clusters

Details Anomalous transport of a tracer on percolating clusters Anomalous transport of a tracer on percolating clusters

2010-12-02

arxiv.org/abs/1012.0470v1

J. Phys.: Condens. Matter 23, 234120 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0953-8984/23/23/234120

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 response to an alternating electric field. Last, we discuss the non-gaussian parameter as an indicator for heterogeneous dynamics.

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