含崩塌概率的一维沙堆模型的自组织临界性

提出了一个含崩塌概率的一维沙堆模型，并用元胞自动机方法对该模型进行计算机模拟. 结果表明在崩塌概率p从0到1的变化过程中存在两个临界点p₁和p₂. 当p₁2时模型具有自组织临界行为，并且系统在从平凡行为到自组织临界行为之间有一个快速的转变. 当模型具有自组织临界性时，这种自组织临界行为具有普适性，两个临界指数分别是1.50±0.02和1.58±0.15. 该模型能够较好地解释一维米粒堆实验中出现的自组织临界现象 关键词： 自组织临界性 BTW模型 崩塌概率

Self-organized criticality in one-dimensional sandpile model with avalanche probability included

Proposed an one-dimensional sandpile model which include avalanche probability, and performed computer simulation by cellular automata method. The results show that there are two critical points p₁ and p₂ when avalanche probability p transits from 0 to 1. The self-organized criticality(SOC) behavior can be found in the model when p₁2. There is a sharp transition between the trivial behaviour and the SOC behaviour in the model. When there is SOC, the SOC behaviour is universal, the two critical exponents are 1.50±0.02 and 1.58±0.15. With the model, the SOC phenomenon appearing in the experiment of one-demensional rice-pile is well explained.