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Anomalous transport of a tracer on percolating clusters
Journal article   Peer reviewed

Anomalous transport of a tracer on percolating clusters

M. Spanner, F. Höfling, G.E. Schröder-Turk, K. Mecke and T. Franosch
Journal of Physics: Condensed Matter, Vol.23(23)
2011
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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.

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Collaboration types
Domestic collaboration
Citation topics
2 Chemistry
2.39 Polymer Science
2.39.712 Glass Transition
Web Of Science research areas
Physics, Condensed Matter
ESI research areas
Physics
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