一维自组织临界米堆模型的临界行为  

Critical behaviors in one-dimensional self-organized critical rice-pile models

作　　者：孙红章[1] 汤正新[1] 刘钢[1] 苏向英[1] 刘磊[1] 

机构地区：[1]河南科技大学理学院,河南洛阳471003

出　　处：《商丘师范学院学报》2008年第12期66-68,共3页Journal of Shangqiu Normal University

基　　金：河南科技大学科学研究基金资助项目(2006QN033;05-03205-031)

摘　　要：对一维链上的具有固定位置驱动机制和随机位置驱动机制的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,雪崩大小的概率统计分布服从"幂指"规律.固定位置驱动机制模型的临界雪崩指数为τs=1.51±0.02和τt=1.83±0.02.随机位置驱动机制的模型的临界雪崩指数为τs=1.01±0.02和τt=1.03±0.02.固定位置驱动机制和随机位置驱动机制的米堆模型属于不同的普适类.Rice- pile models on the one -dimensional chain, which have fixed driving mechanism and random driving mechanism, are numerically investigated. After a short transient time, the system reaches a critical steady state in which the activities of avalanches are distributed according to power - law. The critical avalanche exponents of the fixed - driving model are τs = 1.51 ± 0.02 and τt = 1.83 ± 0.02. And the critical avalanche exponents of the random - driving model are τs = 1.01± 0.02 and τt = 1.03 ± 0. 02. The fixed - driving model and the random - driving model are not in the same universality class.

关 键 词：自组织临界性 幂指规律 米堆模型 

分 类 号：O414[理学—理论物理]