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Self-organized criticality in a rice-pile model Luis A. Nunes Amaral1

Summary: Self-organized criticality in a rice-pile model
Lui´s A. Nunes Amaral1
and Kent Bækgaard Lauritsen2,3
Institut fu¨r Festko¨rperforschung, Forschungszentrum Ju¨lich, D-52425 Ju¨lich, Germany
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Niels Bohr Institute, Center for Chaos and Turbulence Studies, Blegdamsvej 17, DK-2100 Copenhagen O" , Denmark
Received 8 February 1996
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 1.53 0.05 and y 1.84 0.05, respectively.
For the discharge events, we find a characteristic size that scales with the system size as L , with
1.20 0.05. We also find that the frequency of the discharge events decreases with the system size as
L with 1.20 0.05. S1063-651X 96 51811-8
PACS number s : 05.40. j, 64.60.Ht, 05.70.Jk, 05.70.Ln
Since its introduction by Bak, Tang, and Wiesenfeld 1 ,
the concept of self-organized criticality SOC and models
which display SOC behavior have been the focus of much


Source: Amaral, Luis A.N. - Department of Chemical and Biological Engineering, Northwestern University


Collections: Physics; Biology and Medicine