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Geometry-induced superdiffusion in driven crowded systems.

Olivier Bénichou1, Anna Bodrova2, Dipanjan Chakraborty3

  • 1Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex, France.

Physical Review Letters
|February 4, 2014
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Summary
This summary is machine-generated.

Superdiffusion in crowded, confined systems is more general than previously thought. This anomalous particle motion, driven by external forces, occurs in various non-glass-forming media and geometries.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Superdiffusive fluctuations were previously observed in tracer particle (TP) motion in glass-forming liquids near their glass transition.
  • The underlying mechanism for this anomalous response remained elusive and was thought to be a hallmark of glass transition.

Purpose of the Study:

  • To demonstrate that superdiffusion is a more general phenomenon in crowded and confined systems.
  • To elucidate the mechanism behind superdiffusion in non-glass-forming systems.

Main Methods:

  • Analytical solution of a minimal model for a driven TP in a dense medium with vacancy-mediated particle motion.
  • Numerical simulations across diverse systems including lattice gases, dense liquids, and granular fluids.

Main Results:

  • A minimal model predicts long-lived superdiffusion, eventually transitioning to giant diffusive behavior in crowded, confined systems.
  • Superdiffusion is shown to be a universal response in confined geometries (e.g., capillaries, stripes) and crowded environments under external forces.

Conclusions:

  • Superdiffusion is not exclusive to glass-forming liquids but is a general characteristic of crowded, confined systems.
  • The motion is mediated by the diffusion of vacancies, providing a unified mechanism for anomalous transport in diverse physical systems.