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Related Experiment Videos

Stokes-Einstein-like relation for athermal systems and glasses under shear.

Daniel J Lacks1

  • 1Department of Chemical Engineering, Tulane University, New Orleans, Louisiana 70118, USA.

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

Athermal simulations reveal a Stokes-Einstein-like relation (muD=C(ASE)) in shear flow, distinct from finite temperature systems. This highlights fundamental differences in particle dynamics approaching jamming via driving force reduction versus cooling.

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Area of Science:

  • Soft Matter Physics
  • Computational Materials Science
  • Rheology

Background:

  • Understanding particle dynamics under shear flow is crucial for materials science.
  • The Stokes-Einstein relation typically connects viscosity and diffusivity at finite temperatures.
  • Deviations from this relation are observed in non-equilibrium systems.

Purpose of the Study:

  • To investigate the viscosity (mu) and diffusivity (D) of systems under shear flow.
  • To compare particle dynamics in athermal and finite temperature simulations.
  • To explore the validity of the Stokes-Einstein relation under different jamming conditions.

Main Methods:

  • Utilizing finite temperature and athermal simulations.
  • Applying shear flow at varying shear rates (gamma) and temperatures (T).

Related Experiment Videos

  • Analyzing the product of viscosity and diffusivity (muD) to probe dynamic behavior.

    • Main Results:

    • Athermal simulations show mu approximately gamma(-1) and D approximately gamma, yielding muD=C(ASE).
    • Finite temperature simulations follow muD=C(SE)T at high T, but muD diverges at low T in the Newtonian limit.
    • At finite gamma, finite temperature simulations also reach the constant muD=C(ASE).

    Conclusions:

    • Particle dynamics differ fundamentally when jamming is approached by reducing driving force versus cooling.
    • Dynamic heterogeneities play distinct roles in shear-induced dynamics compared to cooling-induced jamming.
    • The study reveals distinct regimes for viscosity-diffusivity relationships under shear flow.