二维米堆模型在不同空间结构的自组织临界行为  

Self-organized critical behaviors in two-dimensional rice-pile models on the different spatial configurations

作　　者：孙红章[1] 汤正新[1] 毛爱霞[1] 苏向英[1] 刘钢[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：《南阳师范学院学报》2009年第3期29-31,共3页Journal of Nanyang Normal University

基　　金：河南科技大学人才科研基金项目(05-03205-031);河南科技大学青年科研基金项目(2006QN033)

摘　　要：研究了在四方网格和正三角网格上的具有决定性倒塌过程的二维自组织临界米堆模型的自组织临界行为.雪崩大小的概率统计分布服从幂指规律,利用函数推断法得到的四方网格和正三角网格上的二维米堆模型的临界指数在误差范围内是一致的.这表明系统的临界行为对空间结构的依赖并不敏感,正三角网格和四方网格上的米堆模型同属于一个普适类.Self-organized critical behaviors in the two-dimensional rice-pile models on the square lattice and trian- gle lattice which have deterministic redistribution processes are investigated. The activities of avalanche are dis- tributed according to power-law. Determined by the function exploration methods, the critical avalanche expo- nents of the rice-pile model on the square lattice and on the triangle lattice, are consistent within the error scopes. It indicates that their critical behaviors don＇ t show a sensitive dependence on the spatial configurations, and the two-dimensional rice-pile models on the square lattice and on the triangle lattice are in the same universality class.

关 键 词：自组织临界性 幂指规律 普适类 米堆模型 

分 类 号：O414[理学—理论物理]