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
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.