A simple deterministic self-organized critical system
Statistical Mechanics
2009-10-31 v4
Abstract
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.
Keywords
Cite
@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}
}
Comments
System slightly modified. New results on Liapunov exponents. Submitted for publication (8 pages)