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Related Experiment Videos

Exponential velocity tails in a driven inelastic Maxwell model.

T Antal1, Michel Droz, Adam Lipowski

  • 1Department of Physics, University of Geneva, CH 1211 Geneva 4, Switzerland. Tibor.Antal@physics.unige.ch

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
Summary

This study revisits the shaken granular material model, revealing exponential velocity tails instead of previously predicted Gaussian tails. This finding impacts understanding granular dynamics and statistical physics.

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Area of Science:

  • Statistical physics
  • Granular material dynamics

Background:

  • The behavior of shaken granular materials is complex.
  • Previous models predicted Gaussian velocity distributions for driven inelastic Maxwell models.

Purpose of the Study:

  • To re-examine the steady-state velocity distribution in a driven inelastic Maxwell model.
  • To identify discrepancies with prior predictions regarding velocity tails.

Main Methods:

  • Numerical solution of the master equation.
  • Analytical arguments were employed.

Main Results:

  • The study found bilateral exponential velocity tails, P(v) ~ e(-|v|/sqrt[D]).
  • This contradicts previous predictions of Gaussian tails, P(v) ~ e(-av^2).

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  • The noise amplitude D was identified as a key parameter.
  • Conclusions:

    • The driven inelastic Maxwell model exhibits exponential velocity tails.
    • This necessitates a revision of previous theoretical predictions for shaken granular systems.