Volume 85, Number 3, February 2009
|Number of page(s)||6|
|Published online||03 February 2009|
Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod
Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS), Fakultät für Physik, Ludwig-Maximilians-Universität München - Theresienstraße 37, 80333 München, Germany, EU
Accepted: 7 January 2009
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 .
PACS: 05.20.-y – Classical statistical mechanics / 61.20.Lc – Structure of liquids: Time-dependent properties; relaxation
© EPLA, 2009
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