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

• Published in: Communications in theoretical physics Vol. 50; no. 8; pp. 425 - 428
• Main Author: SUN Hong-Zhang TANG Zheng-Xin
• Format: Journal Article
• Language: English
• Published: IOP Publishing 15.08.2008
• Subjects: 半组织临界性; 反应堆模型; 普遍性; 有限标度
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/50/2/29

A stochastic local limited one-dimensional rice-pile model is numerically investigated. The distributions for avalanche sizes have a clear power-law behavior and it displays a simple finite size scaling. We obtain the avalanche exponents Ts= 1.54±0.10,βs = 2.17±0.10 and TT = 1.80±0.10, βT =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 54 （1996） 4512], and a simple deterministic self-organized critical model studied by M.S. Vieira [Phys. Rev. E 61 （2000） 6056].