Effective Perrin theory for the anisotropic diffusion of a strongly hindered rodT. Munk, F. Höfling, E. Frey and T. Franosch
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
received 15 September 2008; accepted in final form 7 January 2009; published February 2009
published online 3 February 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 1/2.
05.20.-y - Classical statistical mechanics.
61.20.Lc - Structure of liquids: Time-dependent properties; relaxation.
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