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Diffusion in a granular fluid. II. Simulation.

James Lutsko1, J Javier Brey, James W Dufty

  • 1Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles Campus Plaine, CP 231 1050 Bruxelles, Belgium.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
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This study validates a theory for impurity diffusion in cooling granular fluids. The theory accurately predicts self-diffusion coefficients, especially at moderate densities and inelasticity.

Area of Science:

  • Granular physics
  • Statistical mechanics
  • Computational physics

Background:

  • A preceding paper developed a linear-response theory for impurity diffusion in granular fluids.
  • The theory utilized approximations to the velocity autocorrelation function for Einstein and Green-Kubo expressions.

Purpose of the Study:

  • To compare theoretical predictions for self-diffusion coefficients with molecular-dynamics simulations.
  • To investigate the influence of density and inelasticity on impurity diffusion.

Main Methods:

  • Molecular-dynamics simulations were performed over a wide range of densities and inelasticity.
  • Theoretical results for the self-diffusion coefficient were compared against simulation data.

Main Results:

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  • The approximate theory showed good agreement with simulation data at moderate densities and inelasticity.
  • At higher densities, increased inelasticity significantly enhanced the diffusion coefficient compared to elastic collisions.

Conclusions:

  • The developed linear-response theory provides a reliable description of impurity diffusion in granular fluids.
  • Strong fluctuations and mode coupling, potentially linked to unstable shear modes, may explain enhanced diffusion at high densities and inelasticity.