Self-Organized States in Cellular Automata: Exact Solution
Statistical Mechanics
2016-08-31 v1 adap-org
Astrophysics
comp-gas
Adaptation and Self-Organizing Systems
Cellular Automata and Lattice Gases
Classical Physics
Fluid Dynamics
Plasma Physics
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.
Cite
@article{arxiv.cond-mat/9812161,
title = {Self-Organized States in Cellular Automata: Exact Solution},
author = {M. V. Medvedev and P. H. Diamond},
journal= {arXiv preprint arXiv:cond-mat/9812161},
year = {2016}
}
Comments
4 pages (REVTeX), incl. 2 figures (PostScript)