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We explored effective temperature in nonequilibrium systems using a novel experimental method. Our findings show the fluctuation-dissipation theorem (FDT) holds true for ageing colloidal gels, with effective temperature matching bath temperature.

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Area of Science:

  • Soft matter physics
  • Colloidal science
  • Statistical mechanics

Background:

  • The fluctuation-dissipation theorem (FDT) is crucial for equilibrium systems.
  • Extending FDT to nonequilibrium systems, like ageing colloidal gels, remains a challenge.
  • Effective temperature is a key concept for describing nonequilibrium systems.

Purpose of the Study:

  • To experimentally investigate the effective temperature concept as a generalization of FDT for nonequilibrium systems.
  • To develop a nonperturbative dual measurement technique for direct FDT application.
  • To derive and validate effective temperature in ageing colloidal gels.

Main Methods:

  • Utilized a fluorescence-recovery-based setup for simultaneous measurements.
  • Measured diffusion coefficient and sedimentation velocity of heavy colloids in Laponite clay suspension.
  • Applied FDT directly to tracer velocity observable in a single sample.

Main Results:

  • Successfully derived effective temperature in ageing colloidal gels.
  • Reported no violation of the FDT across various concentrations and ageing times.
  • Observed effective temperature consistently agreeing with bath temperature.

Conclusions:

  • The experimental approach provides a well-defined method for deriving effective temperature.
  • Results support theoretical predictions regarding the coupling of velocity and gel dynamics.
  • The study validates the applicability of FDT in specific nonequilibrium colloidal systems.