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Critical behavior and conservation in directed sandpiles

Pastor-Satorras1, Vespignani

  • 1The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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Large-scale simulations reveal two universality classes in directed sandpile models. Dissipation method is irrelevant to critical behavior, with superuniversal exponents observed across classes.

Area of Science:

  • Complex systems
  • Statistical physics
  • Dynamical processes

Background:

  • Directed sandpile models are fundamental in studying self-organized criticality.
  • Understanding universality classes and the role of dissipation is crucial for complex system dynamics.

Purpose of the Study:

  • To investigate universality classes in directed sandpile models with deterministic and stochastic rules.
  • To analyze the impact of bulk dissipation on critical behavior.
  • To identify and explain superuniversal exponents in avalanche properties.

Main Methods:

  • Large-scale numerical simulations of directed sandpile models.
  • Implementation of both deterministic and stochastic toppling rules.
  • Numerical simulations incorporating bulk dissipation.

Related Experiment Videos

  • Analysis of self-affine properties of avalanches.

    • Main Results:

    • Identification of two distinct universality classes in directed sandpile models.
    • Demonstration that the method of dissipation implementation does not affect critical behavior.
    • Discovery of a subset of superuniversal exponents independent of universality class.

    Conclusions:

    • The study establishes two universality classes for directed sandpile models.
    • Bulk dissipation does not alter the critical behavior of these models.
    • A phenomenological energy balance model explains the observed superuniversal exponents.