Effect of Correlations on the Exponents for the Power-Law Distributions in Self-Organized Criticality  

作　　者：邓永菊 郑华 杨纯斌 

机构地区：[1]School of Physics and Electronic Information, Hubei University of Education [2]Institute of Particle Physics, Central China Normal University

出　　处：《Communications in Theoretical Physics》2012年第8期313-316,共4页理论物理通讯（英文版）

基　　金：Supported in part by the National Natural Science Foundation of China under Grant Nos.10635020 and 10775057;by the Ministry of Education of China under Grant Nos.306022,IRT0624;by the Programme of Introducing Talents of Discipline to Universities under Grant No.B08033

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 mapped to a first-return random-walk process in a one-dimensional lattice. In order to understand the reason of variant exponents for the power-law distributions in different self-organized critical systems, we introduce the correlations among evolution steps. Power-law distributions of the lifetime and spatial size are found when the random walk is unbiased with equal probability to move in opposite directions. It is found that the longer the correlation length, the smaller values of the exponents for the power-law distributions.

关 键 词：power-law distribution CORRELATION self-organized criticality RANDOM-WALK 

分 类 号：O211.3[理学—概率论与数理统计]