Self-diffusion of a sphere in an effective medium of rods

2009/02/23 by Bogdan Cichocki, Maria L. Ekiel-Jezewska · 1 citation
Physics and Astronomy · #cond-mat.soft

paper · pdf · doi:10.1063/1.3146786

4 pages, 2 figures

arxiv created 2009/02/23 · arxiv updated 2015/05/12

Abstract

Self-diffusion of a sphere in a network of rods is analyzed theoretically. Hydrodynamic interactions are taken into account according to the model of Dhont et al., under the assumption that \ka << 1 and a/L<<1, where 1/κ is the network hydrodynamic screening length, a=a+D/2, and a is the sphere radius, while D and L are the diameter and length of a rod, respectively. Simple expressions for the diffusion coefficients are derived and shown to be independent of L.

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