A simple deterministic self-organized critical system

Details A simple deterministic self-organized critical system A simple deterministic self-organized critical system

1999-07-13

arxiv.org/abs/cond-mat/9907201v4

Physics

Condensed Matter

Statistical Mechanics

System slightly modified. New results on Liapunov exponents. Submitted for publication (8 pages)

Scientific paper

10.1103/PhysRevE.61.R6056

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.

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