Hydrodynamics of isotropic and liquid crystalline active polymer solutions

Details Hydrodynamics of isotropic and liquid crystalline active polymer solutions Hydrodynamics of isotropic and liquid crystalline active polymer solutions

2006-07-11

arxiv.org/abs/cond-mat/0607287v1

Phys. Rev. E 74, 061913 (2006)

Physics

Condensed Matter

Soft Condensed Matter

47 pages, 12 figures

Scientific paper

10.1103/PhysRevE.74.061913

We describe the large-scale collective behavior of solutions of polar biofilaments and both stationary and mobile crosslinkers. Both mobile and stationary crosslinkers induce filament alignment promoting either polar or nematic order. In addition, mobile crosslinkers, such as clusters of motor proteins, exchange forces and torques among the filaments and render the homogeneous states unstable via filament bundling. We start from a Smoluchowski equation for rigid filaments in solutions, where pairwise crosslink-mediated interactions among the filaments yield translational and rotational currents. The large-scale properties of the system are described in terms of continuum equations for filament and motor densities, polarization and alignment tensor obtained by coarse-graining the Smoluchovski equation. The possible homogeneous and inhomogeneous states of the systems are obtained as stable solutions of the dynamical equations and are characterized in terms of experimentally accessible parameters. We make contact with work by other authors and show that our model allows for an estimate of the various parameters in the hydrodynamic equations in terms of physical properties of the crosslinkers.

Affiliated with

Also associated with

No associations

Rating

Hydrodynamics of isotropic and liquid crystalline active polymer solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hydrodynamics of isotropic and liquid crystalline active polymer solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamics of isotropic and liquid crystalline active polymer solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138805