Olami-Feder-Christensen模型中的自组织临界性
统计力学
2007-05-23 v2 无序系统与神经网络
摘要
如果一个体系中所测事件（例如雪崩大小）的分布尽可能多地遵循十倍程的幂律，则该体系处于自组织临界态。该分布函数随晶格尺寸的有限尺寸标度通常足以假定任何截断将随晶格尺寸趋于无穷而消失。然而，这种方法可能导致误导性结论。本文中我们分析事件的分支率sigma的行为以确定体系是否处于临界态。我们将此方法应用于Olami-Feder-Christensen模型，获得证据表明与先前结果相反，该模型仅在保守 regime 下是临界的。
引用
@article{arxiv.cond-mat/9908264,
title = {Self-Organized Criticality in the Olami-Feder-Christensen model},
author = {Josue X. Carvalho and Carmen P. C. Prado},
journal= {arXiv preprint arXiv:cond-mat/9908264},
year = {2007}
}
备注
10 pages, 3 figures; small corrections in the text; reference added; data Reported in one table was changed (the pictures changed accordingly); this changes didn't change any of the conclusions nor the approach used