On Origin of Power-Law Distributions in Self-Organized Criticality from Random Walk Treatment  

作　　者：CAO Xiao-Feng DENG Zong-Wei YANG Chun-Bin 

机构地区：[1]Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

出　　处：《Communications in Theoretical Physics》2008年第1期249-251,共3页理论物理通讯（英文版）

基　　金：The project supported in part by National Natural Science Foundation of China under Grant Nos.10635020 and 10475032;the Major Project of the Ministry of Education of China under Grant No.306022.

摘　　要：The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is then regarded as a first-return random walk process in a one-dimensional lattice. We assume that the variation of the number of active sites has three possibilities in each update： to increase by 1 with probability f1, to decrease by 1 with probability f2, or remain unchanged with probability 1 - f1 - f2. This mimics the dynamics in the system. Power-law distributions of the lifetime are found when the random walk is unbiased with equal probability to move in opposite directions. This shows that power-law distributions in self-organized criticality may be caused by the balance of competitive interactions.

关 键 词：power-law distribution sell＇organized criticality random walk 

分 类 号：O4[理学—物理]