Anomalous transport of a tracer on percolating clusters

Spanner M, Hoefling F, Schröder-Turk G, Mecke K, Franosch T (2011)

Publication Status: Published

Publication Type: Journal article

Publication year: 2011

Journal

Journal of Physics: Condensed Matter Institute of Physics: Hybrid Open Access

Publisher: IOP PUBLISHING LTD

Book Volume: 23

Journal Issue: 23

DOI: 10.1088/0953-8984/23/23/234120

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 with CRIS profile

Markus Spanner-Denzer Lehrstuhl für Theoretische Physik Gerd Schröder-Turk Lehrstuhl für Theoretische Physik Klaus Mecke Lehrstuhl für Theoretische Physik Thomas Franosch Professur für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

Max Planck Institute for Intelligent Systems (MPI-IS) / Max-Planck-Institut für Intelligente Systeme DE Germany (DE)

How to cite

APA:

Spanner, M., Hoefling, F., Schröder-Turk, G., Mecke, K., & Franosch, T. (2011). Anomalous transport of a tracer on percolating clusters. Journal of Physics: Condensed Matter, 23(23). https://doi.org/10.1088/0953-8984/23/23/234120

MLA:

Spanner, Markus, et al. "Anomalous transport of a tracer on percolating clusters." Journal of Physics: Condensed Matter 23.23 (2011).

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