A simple deterministic self-organized critical system

Preprint

23 January 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9907201

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

AUTOMATON
CHAOS
CONTINUOUS CELLULAR
EARTHQUAKES
ORGANIZED CRITICALITY
PILE
RICE
SIMPLE DETERMINISTIC
SYSTEM IS CHAOTIC
THERMODYNAMIC

All Related Versions

Version 1, 1999-07-14, ArXiv
Version 2, 1999-07-14, ArXiv
Version 3, 1999-07-26, ArXiv
Version 4, 2000-01-23, ArXiv
Published version: Physical Review E, 61 (6), R6056.

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