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Sandpiles subjected to sinusoidal drive.

J Cheraghalizadeh1, M A Seifi MirJafarlou1, M N Najafi1

  • 1Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.

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Summary
This summary is machine-generated.

This study on driven sandpiles reveals anisotropic avalanches. Initially elongated with oscillations, avalanches later shift to perpendicular elongation, showing a crossover in behavior.

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Area of Science:

  • Complex systems
  • Statistical physics
  • Dynamical systems

Background:

  • Sandpile models are used to study self-organized criticality.
  • External periodic driving can alter the behavior of critical systems.

Purpose of the Study:

  • To investigate avalanche dynamics in a sandpile model under sinusoidal driving.
  • To theoretically and numerically explore avalanche anisotropy and crossovers.

Main Methods:

  • Development of a theoretical model for the Green's function in the large T limit.
  • Numerical simulations to track avalanche behavior and anisotropy.
  • Analysis of power spectra for avalanche size and wasted grains.

Main Results:

  • Theoretical prediction of anisotropic avalanches elongated in the oscillation direction.
  • Numerical observation of a regime with avalanches elongated perpendicular to oscillations.
  • Identification of a crossover between these two anisotropic regimes.
  • Power-law behavior observed in frequency-dependent power spectra.

Conclusions:

  • Driven sandpile models exhibit complex anisotropic avalanche dynamics.
  • The system transitions between different elongation regimes based on driving parameters.
  • Frequency-dependent power spectra reveal universal scaling behaviors.