# Three-level description of the domino cellular automaton

@article{Czechowski2010ThreelevelDO, title={Three-level description of the domino cellular automaton}, author={Zbigniew Czechowski and Mariusz Białecki}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2010}, volume={45} }

Motivated by the approach of kinetic theory of gases, a three-level description (microscopic, mesoscopic and macroscopic) of cellular automaton is presented. To provide an analytical treatment, a simple domino cellular automaton with avalanches is constructed. Formulas concerning exact relations for density, clusters, avalanches and other parameters in a stationary state are derived. Some relations approximately valid for deviations from the stationary state are found, and the adequate Ito…

## 18 Citations

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