Anomalous transport of a tracer on percolating clusters

被引：32

作者：

Spanner, Markus ^{[1
]}

Hoefling, Felix ^{[2
,3
]}

Schroeder-Turk, Gerd E. ^{[1
]}

Mecke, Klaus ^{[1
]}

Franosch, Thomas ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Theoret Phys, D-91058 Erlangen, Germany

[2] Max Planck Inst Met Res, D-70569 Stuttgart, Germany

[3] Univ Stuttgart, Inst Theoret & Angew Phys, D-70569 Stuttgart, Germany

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 2011年 / 23卷 / 23期

关键词：

VELOCITY AUTOCORRELATION FUNCTION; SLOW DYNAMICS; DIFFUSION; MEMBRANE; CELLS; GLASS;

D O I：

10.1088/0953-8984/23/23/234120

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

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.

引用

页数：9

共 50 条

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