One-dimensional sandpile model with avalanche probability

被引：0

作者：

Department of Physics, Guizhou University, Guiyang 550025, China ^{[1
]}

不详 ^{[2
]}

不详 ^{[3
]}

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来源：

Jisuan Wuli | 2007年 / 1卷 / 105-108期

关键词：

Mathematical models - Numerical analysis - One dimensional - Probability - Sand;

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摘要：

We propose a one-dimensional sandpile model with avalanche probability. The simulation is performed with the cellular automata method. As the local slope closes to the critical slope sands avalanche with a probability, the avalanche size and the average local slope are studied at different avalanche probabilities. The self-organized critical (SOC) behavior is studied at critical exponent α=1.50 ± 0.02 as the avalanche probability is between 0.05 and 0.98. The average local slope descends with the increase of collapse probability. A sharp transition occurs between the trival behavior and SOC behavior in this model. The SOC phenomenon in one-demensional rice-pile experiment is well explained.

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