米堆模型中由无序性引起的一种转变

A Disorder-Induced Transition in a Rice-pile Model

采用矩分析方法对米堆模型进行了大尺度的数值模拟研究,考虑了不同的驱动机制:固定位置驱动、两个位置随机驱动、等间距的多个位置随机驱动和系统全部位置随机驱动。结果表明,系统的临界行为,随着外在无序性的增加,从一种简单的有限大小标度行为,转变为一种不规则的复杂行为。

The moment analysis is applied to perform large scale simulations of the rice-pile model.Different driving mechanisms are considered:adding grains to one fixed site,randomly chosening positions from two sites,from a number of sites equally spaced,and from all sites.The results reveal a disorder-induced transition from simple finite size scaling to anomalous scaling behaviors.