A simple deterministic self-organized critical system
统计力学
2009-10-31 v4
摘要
We introduce a new continuous cellular automaton that presents self-organized criticality. It is one-dimensional, totally deterministic, without any kind of embedded randomness, not even in the initial conditions. This system is in the same universality class as the Oslo rice pile system, boundary driven interface depinning and the train model for earthquakes. Although the system is chaotic, in the thermodynamic limit chaos occurs only in a microscopic level.
引用
@article{arxiv.cond-mat/9907201,
title = {A simple deterministic self-organized critical system},
author = {Maria de Sousa Vieira},
journal= {arXiv preprint arXiv:cond-mat/9907201},
year = {2009}
}
备注
System slightly modified. New results on Liapunov exponents. Submitted for publication (8 pages)