Entangled Dynamics of a Stiff Polymer
arXiv:0805.4546 · doi:10.1103/PhysRevE.77.060904
Abstract
Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff polymers and provide a quantitative foundation of the tube concept for stiff polymers. For an infinitely thin needle exploring a planar course of point obstacles, we have performed large-scale computer simulations proving the conjectured scaling relations from the fast transverse equilibration to the slowest process of orientational relaxation. We determine the rotational diffusion coefficient of the tracer, its angular confinement, the tube diameter and the orientational correlation functions.
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Cited by in corpus (12)
- Brownian motion of a self-propelled particle
- Disentangling Entanglements in Biopolymer Solutions
- Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
- Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod
- Crowding-Enhanced Diffusion: An Exact Theory for Highly Entangled Self-Propelled Stiff Filaments
- Dynamically Crowded Solutions of Infinitely Thin Brownian Needles
- Tube Concept for Entangled Stiff Fibers Predicts Their Dynamics in Space and Time
- Three-dimensional Brownian diffusion of rod-like macromolecules in the presence of randomly distributed spherical obstacles: Molecular dynamics simulation
- Elastic behavior of a semiflexible polymer in 3D subject to compression and stretching forces
- Elastic Response of Wire Frame Glasses. I. Two Dimensional Model
- Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles
- Dynamic Phases and Combing Effects for Elongated Particles Moving Over Quenched Disorder