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Fluctuation-dissipation theorem for event-dominated processes.

Paolo Allegrini1, Mauro Bologna, Paolo Grigolini

  • 1Physics Department, Duke University, Durham, North Carolina 27708, USA.

Physical Review Letters
|August 7, 2007
PubMed
Summary
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External perturbations disrupt standard fluctuation-dissipation relations in systems with non-Poisson renewal aging. This finding extends to understanding intermittent fluorescence in semiconductor nanocrystals.

Area of Science:

  • Statistical Physics
  • Nonlinear Dynamics
  • Condensed Matter Physics

Background:

  • Standard fluctuation-dissipation relations govern equilibrium systems.
  • Non-Poisson, renewal, and nonergodic dynamics present unique challenges.
  • Renewal aging introduces time-dependent correlations.

Purpose of the Study:

  • Investigate the impact of external perturbations on systems with renewal aging.
  • Examine the validity of the standard fluctuation-dissipation theorem in such systems.
  • Connect theoretical findings to experimental observations in semiconductor nanocrystals.

Main Methods:

  • Theoretical analysis of systems with non-Poisson renewal processes.
  • Derivation of generalized fluctuation-dissipation relations.

Related Experiment Videos

  • Comparison with existing models for luminescence decay.

    • Main Results:

    • External perturbations violate the standard fluctuation-dissipation prescription due to renewal aging.
    • A generalized fluctuation-dissipation relation is derived.
    • The derived relation unifies linear response theory and exact expressions for intermittent fluorescence.

    Conclusions:

    • Renewal aging fundamentally alters system response to perturbations.
    • The generalized fluctuation-dissipation relation provides a more comprehensive framework.
    • This work offers insights into the dynamics of complex systems, including quantum dots.