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Physical aging of classical oscillators.

Florin Ionita1, Hildegard Meyer-Ortmanns1

  • 1School of Engineering and Science, Jacobs University, P.O. Box 750561, 28725 Bremen, Germany.

Physical Review Letters
|March 25, 2014
PubMed
Summary

Aging in complex systems, like frustrated active rotators and Kuramoto oscillators, is driven by a rough potential landscape. This landscape causes varied escape times, revealing a universal aging mechanism across different systems.

Area of Science:

  • Complex Systems Dynamics
  • Statistical Physics
  • Nonlinear Dynamics

Background:

  • Aging phenomena are observed in glassy systems characterized by slow relaxation and broken time-translation invariance.
  • These phenomena involve dynamical scaling and are common in systems with complex energy landscapes.

Purpose of the Study:

  • To investigate aging mechanisms in active rotators and Kuramoto oscillators coupled with frustrated bonds.
  • To explore the role of a rough potential landscape and multistable attractors in driving aging dynamics.

Main Methods:

  • Studied aging in active rotators and Kuramoto oscillators with frustrated interactions.
  • Analyzed the system's response to noise and quenching from fixed-point to limit-cycle regimes.
  • Investigated autocorrelation functions and their dependence on waiting time.

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Main Results:

  • Frustrated bonds induce a rough potential landscape with multiple attractors (fixed-point or limit-cycle solutions).
  • Noise-induced phase migration across the landscape leads to diverse escape times between metastable states.
  • Quenching reveals dynamical scaling in autocorrelation functions, dependent on waiting time.

Conclusions:

  • A common aging mechanism exists in diverse systems, driven by rough potential landscapes and multistable attractors.
  • The study provides insights into the dynamics of complex systems exhibiting aging phenomena.