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Related Experiment Videos

Effective temperature in athermal systems sheared at fixed normal load.

Ning Xu1, Corey S O'Hern

  • 1Department of Mechanical Engineering, Yale University, New Haven, Connecticut 06520-8284, USA.

Physical Review Letters
|March 24, 2005
PubMed
Summary
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We studied effective temperature (TL) in sheared athermal systems. Results show two regimes: pressure-controlled at low granular temperature/potential energy, and quasiequilibrium at high ratios, impacting thermodynamic descriptions.

Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Athermal systems lack inherent thermal energy, relying on mechanical driving.
  • Effective temperature (TL) is a concept used to describe the state of such systems.
  • Understanding TL is crucial for modeling granular materials and soft matter.

Purpose of the Study:

  • To investigate the effective temperature (TL) in repulsive athermal systems under shear.
  • To identify different regimes governing TL based on system parameters.
  • To evaluate the applicability of TL in thermodynamic descriptions of sheared systems.

Main Methods:

  • Molecular dynamics simulations were employed.
  • Repulsive athermal systems were sheared at a fixed normal load.

Related Experiment Videos

  • Time-dependent fluctuation-dissipation relations for density were used to define TL.
  • Main Results:

    • Two distinct regimes were observed based on the ratio of granular temperature (TS) to potential energy per particle (V).
    • At low TS/V, systems are pressure-controlled, with TL determined by the normal load.
    • At high TS/V, systems behave as quasiequilibrium, with TL approximately TS and increasing with shear rate.

    Conclusions:

    • The study highlights limitations in using effective temperature (TL) for thermodynamic descriptions of slowly sheared athermal systems.
    • The identified regimes suggest different physical behaviors under varying shear conditions.
    • Further research is needed to refine thermodynamic models for these systems.