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 a...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_s=1.54±0.10,β_s=2.17±0.10 and τ_T=1.80±0.10,β_T=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].展开更多
A one-dimensional sand-pile model (Manna model), which has a stochastic redistribution process, is studied both in discrete and continuous manners. The system evolves into a critical state after a transient period. A ...A one-dimensional sand-pile model (Manna model), which has a stochastic redistribution process, is studied both in discrete and continuous manners. The system evolves into a critical state after a transient period. A detailed analysis of the probability distribution of the avalanche size and duration is numerically investigated. Interestingly,contrary to the deterministic one-dimensional sand-pile model, where multifractal analysis works well, the analysis based on simple finite-size scaling is suited to fitting the data on the distribution of the avalanche size and duration. The exponents characterizing these probability distributions are measured. Scaling relations of these scaling exponents and their universality class are discussed.展开更多
基金supported by the Science Foundation of Henan University of Science and Technology under Grant Nos.05-032 and 2006QN033
文摘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_s=1.54±0.10,β_s=2.17±0.10 and τ_T=1.80±0.10,β_T=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].
文摘A one-dimensional sand-pile model (Manna model), which has a stochastic redistribution process, is studied both in discrete and continuous manners. The system evolves into a critical state after a transient period. A detailed analysis of the probability distribution of the avalanche size and duration is numerically investigated. Interestingly,contrary to the deterministic one-dimensional sand-pile model, where multifractal analysis works well, the analysis based on simple finite-size scaling is suited to fitting the data on the distribution of the avalanche size and duration. The exponents characterizing these probability distributions are measured. Scaling relations of these scaling exponents and their universality class are discussed.
