Equivalence of Cellular Automata to Ising Models and Directed Percolation
- 23 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (4) , 311-314
- https://doi.org/10.1103/physrevlett.53.311
Abstract
Time development of cellular automata in dimensions is mapped onto equilibrium statistical mechanics of Ising models in dimensions. Directed percolation is equivalent to a cellular automaton, and thus to an Ising model. For a particular case of directed percolation we find , , .
Keywords
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