Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod

Details Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod

2008-08-04

arxiv.org/abs/0808.0450v2

EPL 85, 30003 (2009)

Physics

Condensed Matter

Soft Condensed Matter

to appear in EPL

Scientific paper

10.1209/0295-5075/85/30003

Slender rods in concentrated suspensions constitute strongly interacting systems with rich dynamics: transport slows down drastically and the anisotropy of the motion becomes arbitrarily large. We develop a mesoscopic description of the dynamics down to the length scale of the interparticle distance. Our theory is based on the exact solution of the Smoluchowski-Perrin equation; it is in quantitative agreement with extensive Brownian dynamics simulations in the dense regime. In particular, we show that the tube confinement is characterised by a power law decay of the intermediate scattering function with exponent 1/2.

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