二维自组织临界米堆模型的普适类

Universality Classes in Two-Dimensional Self-Organized Critical Rice-Pile Models

对四方格子上的具有决定性倒塌过程和随机倒塌过程的二维米堆模型的临界行为进行了数值模拟研究。系统经一个暂态过程后达到一个临界态,其雪崩大小的概率统计分布服从幂次规律。决定性倒塌模型和随机倒塌模型不属于同一个普适类。

Two-dimensional rice-pile models on the square lattice,which have deterministic or stochastic redistribution processes,are numerically investigated.After a short transient time,the system reaches a critical steady state in which avalanches of activity are distributed according to power-law.The deterministic model and the stochastic model are not in the same universality class.