期刊论文

Zheng Hua

英文

理论物理

0253-6102

2012

58

2

313-316

10.1088/0253-6102/58/2/25

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10635020, 10775057]; Ministry of Education of ChinaMinistry of Education, China [306022, IRT0624]; Programme of Introducing Talents of Discipline to UniversitiesMinistry of Education, China - 111 Project [B08033]

本校为通讯机构

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 d...