Dynamics of Semiflexible Polymers in a Flow Field
arXiv:q-bio/0604032 · doi:10.1103/PhysRevE.74.041911
Abstract
We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a suitable normal mode decomposition of a continuous space curve. By means of a perturbation expansion for stiff filaments we derive a closed set of coupled Langevin equations in mode space for the nonlinear dynamics in two dimensions, taking into account exactly the local constraint of inextensibility. The stochastic differential equations obtained this way are solved numerically, with parameters adjusted to describe the motion of actin filaments. As an example, we show results for the tumbling motion in shear flow.
Corrected Label in Fig. 2. 12 pages, 10 figures
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- Tension dynamics in semiflexible polymers. Part II: Scaling solutions and applications
- Buckling, Crumpling, and Tumbling of Semiflexible Sheets in Simple Shear Flow
- Tension dynamics and viscoelasticity of extensible wormlike chains
- Dynamics of flexible filaments in oscillatory shear flows
- Semiflexible polymers under external fields confined to two dimensions
- Wall-anchored semiflexible polymer under large amplitude oscillatory shear flow
- Self-attractive semiflexible polymers under an external force field
- Flow-Induced Buckling of Elastic Microfilaments with Non-Uniform Bending Stiffness
- Dynamics and fragmentation of small inextensible fibers in turbulence
- Two-dimensional active polar semiflexible polymer under shear flow