TY - JOUR
T1 - Self-organized criticality in a rice-pile model
AU - Amaral, Luís A Nunes
AU - Lauritsen, Kent Baekgaard
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1996
Y1 - 1996
N2 - 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].
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].
UR - https://www.scopus.com/pages/publications/0000366604
UR - https://www.scopus.com/inward/citedby.url?scp=0000366604&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.54.R4512
DO - 10.1103/PhysRevE.54.R4512
M3 - Article
AN - SCOPUS:0000366604
SN - 1063-651X
VL - 54
SP - R4512-R4515
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
ER -