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

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成果类型:
期刊论文
作者:
Cao Xiao-Feng;Deng Zong-Wei;Yang Chun-Bin*杨纯斌
通讯作者:
Yang Chun-Bin(杨纯斌
作者机构:
[Yang Chun-Bin; Cao Xiao-Feng; Deng Zong-Wei] Huazhong Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
通讯机构:
[Yang Chun-Bin] H
Huazhong Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
power-law distribution;self-organized criticality;random walk
关键词(中文):
能量定律;关键程度;随机游动
期刊:
理论物理
ISSN:
0253-6102
年:
2008
卷:
49
期:
1
页码:
249-251
基金类别:
The project supported in part by National Natural Science Foundation of China under Grant Nos. 10635020 and 10475032, and the Major Project of the Ministry of Education of China under Grant No. 306022.
机构署名:
本校为第一且通讯机构
院系归属:
物理科学与技术学院
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 walle 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 - f 2. This mimics the dynamics in the system. Power-...
摘要(中文):
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 distribut...

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