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.

to appear in EPL

References in corpus (7)

• Elastic properties of grafted microtubules
• Self-diffusion of Rod-like Viruses Through Smectic Layer
• 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
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Cited by in corpus (8)

• Meso-scale turbulence in living fluids
• Intermediate scattering function of an anisotropic Brownian circle swimmer
• Non-Gaussian diffusion near surfaces
• Two-dimensional Brownian motion of anisotropic dimers
• Dynamically Crowded Solutions of Infinitely Thin Brownian Needles
• Tube Concept for Entangled Stiff Fibers Predicts Their Dynamics in Space and Time
• Exact height distribution in one-dimensional Edwards-Wilkinson interface with diffusing diffusivity
• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles