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A one-dimensional stochastic sandpile with constant profile width

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  • Malthe-Sørenssen, A.

Abstract

A sandpile model with dynamically varying critical heights is studied in one dimension. The model displays self-organized critical behavior with an avalanche exponent τ=1.35±0.02, which correspond to the value found from a mean-field argument. The time evolution of the mass and height of the pile is characterized by a time-correlation function with a crossover time that increases systematically with system time. The average transit time of a grain through the model is proportional to the system size, but the distribution of transit times has a power-law tail. A modified model, which includes non-local interactions from force propagation within the pile, belongs to the same universality class, although the distribution of transit times changes significantly.

Suggested Citation

  • Malthe-Sørenssen, A., 1999. "A one-dimensional stochastic sandpile with constant profile width," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 440-454.
    • Handle: RePEc:eee:phsmap:v:265:y:1999:i:3:p:440-454
    DOI: 10.1016/S0378-4371(98)00642-6
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