Self-Organized States in Cellular Automata: Exact Solution

Details Self-Organized States in Cellular Automata: Exact Solution Self-Organized States in Cellular Automata: Exact Solution

1998-12-09

arxiv.org/abs/cond-mat/9812161v1

Phys. Rev. E 58, 6824 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages (REVTeX), incl. 2 figures (PostScript)

Scientific paper

10.1103/PhysRevE.58.6824

The spatial structure, fluctuations as well as all state probabilities of
self-organized (steady) states of cellular automata can be found (almost)
exactly and {\em explicitly} from their Markovian dynamics. The method is shown
on an example of a natural sand pile model with a gradient threshold.

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