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Related Experiment Videos

Effective temperatures in driven systems: static versus time-dependent relations.

Corey S O'Hern1, Andrea J Liu, Sidney R Nagel

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

Physical Review Letters
|November 5, 2004
PubMed
Summary
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Simulations reveal that two distinct methods for calculating effective temperature in glassy systems under shear yield consistent results. This finding necessitates a refined theoretical understanding of effective temperatures in driven systems.

Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Computational physics

Background:

  • Glassy systems exhibit complex dynamics under external forces.
  • Effective temperature is a key parameter for describing the thermodynamic state of non-equilibrium systems.
  • Existing definitions of effective temperature may not fully capture the behavior of driven systems.

Purpose of the Study:

  • To compare two different definitions of effective temperature in simulated glassy systems under steady-state shear.
  • To investigate the agreement between static linear response and time-dependent fluctuation-dissipation relations for effective temperature.
  • To assess the implications of the findings for theoretical frameworks of non-equilibrium statistical mechanics.

Main Methods:

  • Utilizing computational simulations of glassy systems.

Related Experiment Videos

  • Applying steady-state shear to the simulated systems.
  • Calculating effective temperatures using both static linear response and time-dependent fluctuation-dissipation relations.

    • Main Results:

    • Both static linear response and time-dependent fluctuation-dissipation relations produced consistent effective temperature values.
    • Agreement was observed across a wide range (two and a half decades) of effective temperatures.
    • The observed agreement challenges current theoretical expectations.

    Conclusions:

    • The consistency of different effective temperature measures suggests a robust physical phenomenon in sheared glasses.
    • A more comprehensive theoretical framework is required to fully explain effective temperatures in steady-state driven systems.
    • This study provides crucial insights for developing advanced models of non-equilibrium matter.