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Universality classes in the random-storage sandpile model

Vazquez1, Sotolongo-Costa

  • 1Department of Theoretical Physics, Faculty of Physics, Havana University, Havana 10400, Cuba.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
Summary

This study investigates avalanche statistics in a stochastic sandpile model. The findings reveal distinct universality classes based on toppling probability, transitioning from direct percolation to the Bak-Tang-Wiesenfeld model.

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Area of Science:

  • Complex Systems
  • Statistical Physics
  • Computational Physics

Background:

  • Sandpile models are used to study self-organized criticality.
  • The Bak-Tang-Wiesenfeld (BTW) model is a deterministic sandpile model.
  • Stochastic variations introduce new dynamics and universality classes.

Purpose of the Study:

  • To analyze avalanche statistics in a stochastic sandpile model.
  • To identify universality classes based on toppling probability (p).
  • To compare stochastic behavior with the deterministic BTW model.

Main Methods:

  • Stochastic sandpile model simulation.
  • Moment analysis of avalanche size distributions.
  • Identification of critical probabilities and universality classes.

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Main Results:

  • For 0 < p < p(c), the model exhibits direct percolation universality.
  • For p(c) < p < 1, the model belongs to the BTW universality class.
  • p(c) is identified as the critical probability for directed percolation.

Conclusions:

  • The stochastic sandpile model exhibits a phase transition in its universality class.
  • The toppling probability p governs the transition between direct percolation and BTW universality.
  • This research bridges stochastic and deterministic sandpile dynamics.