Abstract:
We introduce a new class of two-dimensional cellular automata with a bootstrap percolation-like dynamics. Each site can be either empty or occupied by a single particle and the dynamics follows a deterministic updating rule at discrete times which allows only emptying sites. We prove that the threshold density c for convergence to a completely empty configuration is non trivial, 0Année de publication : 2008
Revue : J. Stat. Phys. 130 83-112 (2008)
DOI : 10.1007/s10955-007-9420-z
Preprint : arXiv:0709.0378
Langue : Anglais
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