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The Nernst Equation02:59

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Linear response at criticality.

Adam Svenkeson1, Mauro Bologna, Paolo Grigolini

  • 1Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Cooperative systems at criticality exhibit non-Poisson intermittency, similar to blinking quantum dots. Their response to perturbations requires a new linear response theory accounting for aging and nonergodic behavior.

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Area of Science:

  • Complex Systems
  • Statistical Physics
  • Non-equilibrium Dynamics

Background:

  • Critical phenomena in cooperative systems exhibit unique statistical properties.
  • Blinking quantum dots display renewal non-Poisson intermittency.
  • Existing linear response theories may not capture aging and nonergodic effects.

Purpose of the Study:

  • To investigate the intermittency patterns generated by cooperatively interacting units at criticality.
  • To develop a theoretical framework for describing the response of such systems to external perturbations.
  • To connect the system's behavior at criticality to established non-equilibrium theories.

Main Methods:

  • Analytical derivations and numerical simulations were employed.
  • Analysis of the system's response to harmonic perturbations.
  • Application of a novel linear response theory incorporating aging and nonergodicity.

Main Results:

  • Cooperative systems at criticality generate renewal non-Poisson intermittency, consistent with blinking quantum dots.
  • A new linear response theory is necessary to describe the system's behavior under perturbations.
  • The system's response is greatest at criticality across a broad frequency range.

Conclusions:

  • The study provides strong support for earlier findings on intermittency in cooperative systems.
  • The developed linear response theory offers new insights into non-equilibrium systems with aging.
  • Criticality plays a crucial role in maximizing the response of these cooperative systems.