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Related Experiment Videos

Fluctuation-dissipation relations in driven granular gases.

A Puglisi1, A Baldassarri, V Loreto

  • 1Physics Department, La Sapienza University in Rome, Piazzale A. Moro 5, 00185 Rome, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
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This study shows a modified Kubo relation holds for driven inelastic gases, using granular temperature instead of equilibrium temperature. This confirms the relation

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Computational Physics

Background:

  • Driven inelastic gases exist in non-equilibrium steady states.
  • These states exhibit fractal density correlations and non-Gaussian velocity distributions.
  • Granular temperature is lower than bath temperature in these systems.

Purpose of the Study:

  • Investigate the validity of the Kubo relation in driven inelastic gases.
  • Determine if a modified Kubo relation applies to non-equilibrium steady states.
  • Identify the effective temperature parameter in the modified Kubo relation.

Main Methods:

  • Direct Simulation Monte Carlo (DSMC) techniques were employed.
  • Molecular chaos assumption was utilized.

Related Experiment Videos

  • Two numerical experiments studied staggered density current and tracer response.

    • Main Results:

    • A modified Kubo relation was observed to hold for stationary non-equilibrium dynamics.
    • The effective temperature in the modified relation equals the global granular temperature.
    • Response functions were found proportional to autocorrelation and mean-square displacement.

    Conclusions:

    • The Kubo relation can be extended to driven inelastic gases under specific conditions.
    • Granular temperature serves as the effective temperature in the modified Kubo relation.
    • The findings are valid for systems with not too large inelasticities.