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 [J. Chem. Phys. 122, 044905 (2005); Dhont, J. Chem. Phys.124, 044907 (2006); Dhont, J. Chem. Phys.126, 214501 (2007)] based on the Debye-Bueche-Brinkman equation. The hydrodynamic screening length of the effective medium is assumed to be much larger than the sphere radius and the rod thickness. The self-diffusion coefficient, given by Dhont in terms of four-dimensional integrals, is in this work expressed in terms of a single integral only and therefore evaluated numerically with a high precision. Moreover, simple expressions for the self-diffusion coefficient are derived and shown to be independent of the rod length. They can be useful for experimental verification of the model. © 2009 American Institute of Physics.
CITATION STYLE
Cichocki, B., & Ekiel-Jeewska, M. L. (2009). Self-diffusion of a sphere in an effective medium of rods. Journal of Chemical Physics, 130(21). https://doi.org/10.1063/1.3146786
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