Bridging the microscopic and the hydrodynamic in active filament solutions

Details Bridging the microscopic and the hydrodynamic in active filament solutions Bridging the microscopic and the hydrodynamic in active filament solutions

2004-06-11

arxiv.org/abs/cond-mat/0406276v1

Europhys. Lett. 69, 846 (2005)

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 2 figures, submitted to Europhys. Lett

Scientific paper

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.

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