Self-organized criticality in a rice-pile model

Luís A Nunes Amaral; Kent Baekgaard Lauritsen

doi:10.1103/PhysRevE.54.R4512

Self-organized criticality in a rice-pile model

Luís A Nunes Amaral, Kent Baekgaard Lauritsen

Chemical and Biological Engineering

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We present a model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We find power-law distributions for avalanche sizes and lifetimes characterized by the exponents [Formula Presented] and [Formula Presented], respectively. For the discharge events, we find a characteristic size that scales with the system size as [Formula Presented], with [Formula Presented]. We also find that the frequency of the discharge events decreases with the system size as [Formula Presented] with [Formula Presented].

Original language	English (US)
Pages (from-to)	R4512-R4515
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	54
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.54.R4512
State	Published - 1996

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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AU - Lauritsen, Kent Baekgaard

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AB - We present a model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We find power-law distributions for avalanche sizes and lifetimes characterized by the exponents [Formula Presented] and [Formula Presented], respectively. For the discharge events, we find a characteristic size that scales with the system size as [Formula Presented], with [Formula Presented]. We also find that the frequency of the discharge events decreases with the system size as [Formula Presented] with [Formula Presented].

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Self-organized criticality in a rice-pile model

Abstract

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