Self-Organized States in Cellular Automata: Exact Solution
arXiv:cond-mat/9812161 · doi:10.1103/PhysRevE.58.6824
Abstract
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.
4 pages (REVTeX), incl. 2 figures (PostScript)