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Avalanche structure in a running sandpile model.

B A Carreras1, V E Lynch, D E Newman

  • 1Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-8070, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
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Sandpile models exhibit complex avalanche behavior. Different avalanche structures cause scaling variations, explaining the lack of strict self-similarity in avalanche size distributions.

Area of Science:

  • Complex Systems
  • Statistical Physics
  • Dynamical Systems

Background:

  • The sandpile model is a paradigm for self-organized criticality.
  • Strict self-similarity in avalanche size distribution is a key characteristic of critical systems.
  • Previous studies assumed self-similarity in sandpile avalanche sizes.

Purpose of the Study:

  • To investigate the reasons behind the lack of strict self-similarity in sandpile model avalanche size distributions.
  • To identify different types of avalanches and their scaling properties.
  • To elucidate the role of space-time structure and boundary effects on avalanche scaling.

Main Methods:

  • Analysis of avalanche size distribution.
  • Characterization of avalanche space-time structures.

Related Experiment Videos

  • Investigation of scaling behavior with varying sandpile sizes.

    • Main Results:

    • The probability distribution function of avalanche sizes does not exhibit strict self-similarity.
    • Distinct avalanche types with different space-time structures were identified.
    • Each avalanche type demonstrates unique scaling relationships with sandpile size.

    Conclusions:

    • The heterogeneity in avalanche structures and their scaling is the primary reason for the absence of strict self-similarity.
    • Boundary effects can also contribute to deviations from self-similarity.
    • Understanding these diverse scaling behaviors is crucial for accurately modeling complex systems.