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

Abstract

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.

arXiv commentto appear in EPL

References in corpus (10)

• Elastic properties of grafted microtubules
• Dynamics of the rotational degrees of freedom in a supercooled liquid of diatomic molecules
• Self-diffusion of Rod-like Viruses Through Smectic Layer
• Self-diffusion of rod-like viruses in the nematic phase
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• Glassy dynamics in monodisperse hard ellipsoids
• Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
• Entangled Dynamics of a Stiff Polymer
• Microscopic dynamics of thin hard rods
• The short-time self-diffusion coefficient of a sphere in a suspension of rigid rods

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• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles