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Related Experiment Videos

Self-diffusion in sheared colloidal suspensions: violation of fluctuation-dissipation relation.

Grzegorz Szamel1

  • 1Department of Chemistry, Colorado State University, Fort Collins, Colorado 80525, USA.

Physical Review Letters
|November 5, 2004
PubMed
Summary

In sheared colloidal suspensions, the fluctuation-dissipation theorem for self-diffusion is violated. A new simulation method is proposed to measure this violation and an effective temperature is derived.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Statistical Mechanics

Background:

  • The fluctuation-dissipation theorem (FDT) relates equilibrium fluctuations to response functions.
  • Einstein's relation connects self-diffusion and mobility in equilibrium systems.
  • Sheared colloidal suspensions represent a non-equilibrium system where FDT may break down.

Purpose of the Study:

  • To investigate the validity of the fluctuation-dissipation theorem for self-diffusion in sheared colloidal suspensions.
  • To propose a novel method for quantifying the violation of FDT in these systems.
  • To derive theoretical expressions relevant to non-equilibrium colloidal dynamics.

Main Methods:

  • Application of memory-function formalism.
  • Derivation of mode-coupling expressions.

Related Experiment Videos

  • Brownian dynamics simulations.

    • Main Results:

    • Demonstrated violation of the fluctuation-dissipation theorem for self-diffusion in sheared colloidal suspensions.
    • Developed a new simulation-based approach to measure this FDT violation.
    • Derived mode-coupling expressions for the tagged particle friction tensor.
    • Introduced an effective, shear-rate dependent temperature for the system.

    Conclusions:

    • The fluctuation-dissipation theorem, in its standard form, does not hold for self-diffusion in sheared colloidal suspensions.
    • The proposed simulation method offers a quantitative tool to study non-equilibrium phenomena in colloidal systems.
    • The derived effective temperature provides a new parameter to characterize the dynamics of sheared suspensions.