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
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)
Involved external institutions
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://dx.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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