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Related Experiment Videos

Membranes with rotating motors.

Peter Lenz1, Jean-François Joanny, Frank Jülicher

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

Physical Review Letters
|October 4, 2003
PubMed
Summary
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Collections of rotatory motors exhibit distinct behaviors based on speed. High speeds lead to crystalline order, while low speeds result in a disordered phase with enhanced diffusion due to velocity fluctuations.

Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Rotatory motors confined to 2D manifolds display complex collective behaviors.
  • Hydrodynamic interactions, arising from rotational motion, are repulsive between motors.

Purpose of the Study:

  • To investigate the collective behavior of rotatory motors in 2D systems.
  • To understand the phase transitions and transport properties influenced by motor speed and interactions.

Main Methods:

  • Theoretical study of interacting rotatory motors on 2D manifolds.
  • Analysis of collective dynamics considering hydrodynamic interactions and velocity fluctuations.

Main Results:

  • At high rotation speeds, motors may form crystalline ordered phases.

Related Experiment Videos

  • At low rotation speeds, a disordered phase emerges with enhanced diffusion.
  • Diffusion is amplified by velocity fluctuations in the disordered phase.

    • Conclusions:

    • The collective behavior of rotatory motors is highly dependent on their rotation speed.
    • Distinct phases (ordered and disordered) with different transport properties are predicted.
    • These phenomena are experimentally verifiable in systems like driven motors or biological motors in membranes.