| Issue |
EPL
Volume 85, Number 3, February 2009
|
|
|---|---|---|
| Article Number | 30003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/85/30003 | |
| 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
Received:
15
September
2008
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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