title: Anomalous transport of a tracer on percolating clusters.
abstract: 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.
authors: Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen, Germany.
authors: Markus
authors: M
authors: Spanner
authors: Felix
authors: F
authors: Höfling
authors: Gerd E
authors: GE
authors: Schröder-Turk
authors: Klaus
authors: K
authors: Mecke
authors: Thomas
authors: T
authors: Franosch