Self-organized criticality: Analysis and simulation of a 1D sandpile

被引：0

作者：

Lorenz, J ^{[1
]}

Jackett, S ^{[1
]}

Qin, WG ^{[1
]}

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

NUMERICAL METHODS FOR BIFURCATION PROBLEMS AND LARGE-SCALE DYNAMICAL SYSTEMS | 2000年 / 119卷

关键词：

random evolution; discrete time dynamical system; Markov matrix; self-organized criticality; sandpile;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To study the self-organization of systems, their approach towards a critical state, and the statistical properties at criticality, so-called mathematical sandpiles have been suggested. In this paper we analyze elementary properties of a slope-based one-dimensional model, for which one boundary is an abyss, the other is a wall. Our analysis is based on properties of the Markov matrix. Some numerical results for sandpiles with small lattice sizes are also included.

引用

页码：229 / 264

页数：36

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