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Kinetically constrained model for gravity-driven granular flow and clogging.

Gregory Bolshak1, Rakesh Chatterjee1, Rotem Lieberman2

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|October 24, 2019
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Summary
This summary is machine-generated.

Adding extreme driving to a lattice-gas model reveals how gravity affects granular flow. At high densities, granular flow stops, but flow through holes remains predictable, matching theoretical models.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Dense granular systems exhibit complex flow behaviors.
  • Gravity significantly influences the dynamics of granular materials.
  • Existing models often simplify or omit gravitational effects.

Purpose of the Study:

  • To investigate the effects of gravity on dense granular systems using a modified lattice-gas model.
  • To analyze the dependence of granular flow on particle density and external forces.
  • To compare model predictions with theoretical frameworks.

Main Methods:

  • Incorporation of extreme driving into the Kob-Andersen kinetically constrained lattice-gas model.
  • Simulation of granular systems under varying particle densities and field intensities.
  • Analysis of bulk current and current through a narrow aperture.

Main Results:

  • At low densities, simulated current matches mean-field theory predictions.
  • Spatial correlations induce non-monotonic current dependence on field intensity at intermediate densities.
  • Granular flow ceases at a finite density dependent on the applied field.
  • Current through a hole quantitatively aligns with bulk predictions at the local density.

Conclusions:

  • The modified lattice-gas model effectively mimics gravity's impact on granular flow.
  • The study highlights the transition from continuous flow to jamming in dense granular systems.
  • Theoretical predictions for bulk granular flow are validated even in confined geometries.