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Related Experiment Videos

Fluctuation-dissipation ratio for compacting granular media.

Alain Barrat1, Vittoria Colizza, Vittorio Loreto

  • 1Laboratoire de Physique Théorique, Unité Mixte de Recherche UMR 8627, Bâtiment 210, Université de Paris-Sud, 91405 Orsay Cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
Summary

This study explores a dynamic effective temperature for granular materials using fluctuation-dissipation relations. Results show agreement with Edwards

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Area of Science:

  • Physics of granular materials
  • Statistical mechanics

Background:

  • Compacting granular media exhibit complex behaviors not fully captured by equilibrium statistical mechanics.
  • The concept of an effective temperature is crucial for understanding non-equilibrium systems like granular materials.

Purpose of the Study:

  • To investigate a dynamical definition of effective temperature for compacting granular media.
  • To validate the fluctuation-dissipation (FD) relations in the context of granular compaction.
  • To compare dynamical measurements with theoretical predictions, specifically Edwards' measure.

Main Methods:

  • Simulated two paradigmatic models of granular compaction: the Tetris and Kob-Andersen models.
  • Implemented idealized compaction (no gravity) and compaction with gravity.

Related Experiment Videos

  • Analyzed particle diffusion on a lattice with geometrical and dynamical constraints.

    • Main Results:

    • The FD ratio in homogeneous compaction aligns with Edwards' measure across various densities.
    • Similar agreement is observed under gravity when bulk homogeneity is maintained.
    • Dynamically obtained FD ratios for displacements and mobility match Edwards' measure predictions.

    Conclusions:

    • The study supports a dynamical definition of effective temperature for granular media.
    • The fluctuation-dissipation relations are applicable to these non-equilibrium systems.
    • Experimental validation of Edwards' construction is proposed through dynamical measurements.