SELF-ORGANIZED CRITICALLY IN A RICE-PILE MODEL

Citation
Lan. Amaral et Kb. Lauritsen, SELF-ORGANIZED CRITICALLY IN A RICE-PILE MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 4512-4515
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
4512 - 4515
Database
ISI
SICI code
1063-651X(1996)54:5<4512:SCIARM>2.0.ZU;2-L
Abstract
We present a model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effec t of friction between the grains. We find power-law distributions for avalanche sizes and lifetimes characterized by the exponents tau = 1.5 3 +/- 0.05 and y = 1.84 +/- 0.05, respectively. For the discharge even ts, we find a characteristic size that scales with the system size as L(mu), with mu = 1.20 +/- 0.05. We also find that the frequency of the discharge events decreases with the system size as L(-mu') with mu' = 1.20 +/- 0.05.