Dynamics and entropy in the Zhang model of self-organized criticality

被引：3
|
作者：
Kruglikov, B [1 ]
Rypdal, M [1 ]
机构：
[1] Univ Tromso, Inst Math & Stat, N-9037 Tromso, Norway
来源：
JOURNAL OF STATISTICAL PHYSICS | 2006年 / 122卷 / 05期
关键词：
sand-pile models; avalanche dynamics; skew-product systems; Lyapunov exponents; entropy; Hausdorff dimension; thermodynamic limit;
D O I：
10.1007/s10955-005-9011-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a detailed study of dynamical properties of the Zhang model, including evaluation of topological entropy and estimates for the Lyapunov exponents and the dimension of the attractor. In the thermodynamic limit the entropy goes to zero and the Lyapunov spectrum collapses.
引用
收藏
页码：975 / 1039
页数：65
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