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Membranes with rotating motors: Microvortex assemblies

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Abstract.

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.

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Authors and Affiliations

  1. Institut Curie, UMR 168, 26 rue d’Ulm, F-75248, Paris Cédex 05, France

    P. Lenz, J.-F. Joanny, F. Jülicher & J. Prost

  2. Fachbereich Physik, Philipps-Universität Marburg, D-35032, Marburg, Germany

    P. Lenz

  3. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187, Dresden, Germany

    F. Jülicher

  4. Ecole supérieure de physique et chimie industrielles, 10 rue Vauquelin, F-75231, Paris Cédex 05, France

    J. Prost

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  1. P. Lenz
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  2. J.-F. Joanny
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  3. F. Jülicher
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  4. J. Prost
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Correspondence to P. Lenz.

Additional information

Received: 9 October 2003, Published online: 11 May 2004

PACS:

87.16.-b Subcellular structure and processes - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 87.15.Kg Molecular interactions; membrane-protein interactions

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Lenz, P., Joanny, JF., Jülicher, F. et al. Membranes with rotating motors: Microvortex assemblies. Eur. Phys. J. E 13, 379–390 (2004). https://doi.org/10.1140/epje/i2003-10083-9

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