Membranes with rotating motors: microvortex assemblies.
We study collections of rotatory motors confined to 2-dimensional manifolds. The rotational motion induces a repulsive hydrodynamic interaction between motors leading to a non-trivial collective behavior. For high rotation speed, motors should arrange on a triangular lattice exhibiting crystalline order. At low speed, they form a disordered phase where diffusion is enhanced by velocity fluctuations. In confining geometries and under suitable boundary conditions, motor-generated flow might enhance left-right symmetry-breaking transport. All these effects should be experimentally observable for motors driven by external fields and for dipolar biological motors embedded into lipid membranes in a viscoelastic solvent.
Lenz
P
P
Institut Curie, UMR 168, 26 rue d'Ulm, F-75248, Paris Cédex 05, France. peter.lenz@physik.uni-marburg.de
Joanny
J-F
JF
Jülicher
F
F
Prost
J
J
D000251:Adenosine Triphosphatases / Q000737:chemistry; D001703:Biophysics / Q000379:methods*; D004058:Diffusion; D008055:Lipids / Q000737:chemistry*; D008566:Membranes / Q000737:chemistry*; D015233:Models, Statistical; D008962:Models, Theoretical; D009038:Motion; D011485:Protein Binding
D008055:Lipids; D000251:Adenosine Triphosphatases