Critical Behaviors in a Stochastic Local Limited One-Dimensional Rice-Pile Model

A stochastic local limited one-dimensional rice-pile model is numerically investigated.The distributions for avalanche sizes have a c/ear power-law behavior and it displays a simple finite size scaling.We obtain the avalanche exponents τ=1.54±0.10,β=2.17±0.10 and τ=1.80±0.10,β=1.46±0.10.This self-organized critical model belongs to the same universality class with the Oslo rice-pile model studied by K.Christensen et al.[Phys.Rev.Lett.77 (1996) 107],a rice-pile model studied by L.A.N.Amaral et al.[Phys.Rev.E 84 (1996) 4512],and a simple deterministic self-organized critical model studied by M.S.Vieira [Phys.Rev.E 61 (2000) 6056].