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Multiscale dynamics and robust critical scaling in a continuum current sheet model.

V M Uritsky1, A J Klimas, D Vassiliadis

  • 1National Research Council at NASA / Goddard Space Flight Center, Greenbelt, Maryland 20770, USA. uritsky@geo.phys.spru.ru

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2002
PubMed
Summary

This study reveals that chaotic dynamics drive self-organized criticality in a continuum avalanche model. Scale-free avalanches distribute chaos, creating power-law fluctuations and stable critical scaling, crucial for understanding complex systems.

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Self-organized criticality (SOC) describes systems that naturally evolve to a critical state.
  • Avalanche models are used to study phenomena exhibiting power-law behavior.
  • Chaotic dynamics can influence system behavior and noise generation.

Purpose of the Study:

  • To analyze the self-organized critical behavior of a continuum running avalanche model.
  • To investigate the role of low-dimensional chaotic dynamics as a noise source.
  • To understand the emergence of scale-free avalanches and power-law distributions.

Main Methods:

  • Continuum running avalanche model simulation.
  • Analysis of local interaction scales and chaotic dynamics.

Related Experiment Videos

  • Characterization of spatiotemporal fluctuations and power-law distributions.
  • Investigation of global critical scaling in a control parameter space.

    • Main Results:

    • Low-dimensional chaotic dynamics act as the primary noise source at local scales.
    • Scale-free avalanches distribute uncertainty, leading to power-law distributed fluctuations.
    • The model exhibits structurally stable critical scaling globally.
    • A power-law divergence of the integrated response function is observed across dissipation rates.

    Conclusions:

    • The continuum avalanche model demonstrates robust self-organized criticality.
    • Adjustable global loading-unloading cycles maintain a stationary state without altering avalanche dynamics.
    • Chaotic dynamics and scale-free avalanches are key to the observed power-law behaviors and system stability.