一维自组织临界米堆模型的临界雪崩指数

Critical Avalanche Exponents of One-dimensional Self-organized Critical Rice-pile Model

对一维链上的米堆模型的临界行为进行了数值模拟研究.在临界状态下,雪崩大小的概率统计分布服从"幂指"规律,但因为临界雪崩指数和系统大小之间有一定的依赖关系,所以在考虑了系统的尺寸效应后,从而得到了更为精确的雪崩指数sτ=1.53±0.01和tτ=1.84±0.01.

A rice-pile model on the one-dimensional chain is numerically investigated.The activities of avalanches are distributed according to power-law in the critical state.Since the critical avalanche exponents show some dependence on the size of the system,the size effect is considered,and the critical avalanche exponents are determined more accurately as τs=1.53±0.01 and τt=1.84±0.01.