Title

Bridging the Microscopic and the Hydrodynamic in Active Filament Solutions

Author(s)/Creator(s)

Tanniemola B. Liverpool, University of Leeds
M. Cristina Marchetti, Syracuse UniversityFollow

Document Type

Article

Date

6-11-2004

Keywords

condensed matter, soft condensed matter

Language

English

Disciplines

Physics

Description/Abstract

Hydrodynamic equations for an isotropic solution of active polar filaments are derived from a microscopic mean-field model of the forces exchanged between motors and filaments. We find that a spatial dependence of the motor stepping rate along the filament is essential to drive bundle formation. A number of differences arise as compared to hydrodynamics derived (earlier) from a mesoscopic model where relative filament velocities were obtained on the basis of symmetry considerations. Due to the anisotropy of filament diffusion, motors are capable of generating net filament motion relative to the solvent. The effect of this new term on the stability of the homogeneous state is investigated.

Additional Information

This manuscript is from arXiv.org for more information see http://arxiv.org/abs/cond-mat/0406276

Recommended Citation

arXiv:cond-mat/0406276v1

Source

harvested from arXiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.