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Synthesis and Microdiffraction at Extreme Pressures and Temperatures
Published on: October 7, 2013
Rapid self-organized criticality: Fractal evolution in extreme environments
Julianne D Halley1, Andrew C Warden, Suzanne Sadedin
1School of Biological Sciences, P.O. Box 18, Monash University, Melbourne, Australia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
Summary
We introduce rapid self-organized criticality (RSOC), a phenomenon generating scale-invariant events and 1/f noise. RSOC differs from self-organized criticality (SOC) by maintaining criticality across varied driving rates and exhibiting complex branching structures.
Area of Science:
- Complex Systems Science
- Statistical Physics
Background:
- Self-organized criticality (SOC) describes systems naturally evolving to critical states.
- Existing SOC models often exhibit sensitivity to driving rates and simpler geometries.
Purpose of the Study:
- Introduce and characterize rapid self-organized criticality (RSOC).
- Compare RSOC properties with traditional SOC models.
- Investigate the dynamics and geometry of RSOC systems near critical points.
Main Methods:
- Numerical simulations of RSOC systems.
- Parameter tuning to drive systems towards criticality.
- Analysis of event distributions and branching geometry.
- Tracking average branching rates to identify critical states.
Main Results:
- RSOC generates scale-invariant event distributions and 1/f noise, similar to SOC.
- RSOC maintains criticality over a wide range of driving rates (over an order of magnitude).
- RSOC exhibits complex, dynamic, and thick branching geometries.
Conclusions:
- RSOC represents a distinct class of self-organized criticality.
- The robustness of RSOC to driving rate variations and its intricate geometry offer new avenues for complex systems research.
- Average branching rates approaching 1 indicate a system has reached a critical state.
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