Local structure approximation as a predictor of second order phase transitions in asynchronous cellular automata

Abstract

We show that local structure approximation of sufficiently high order can predict the existence of second order phase transitions belonging to the directed percolation university class in $\alpha$-asynchronous cellular automata.

20 pages, 6 figures

References in corpus (4)

• An Experimental Study of Robustness to Asynchronism for Elementary Cellular Automata
• Asynchronism Induces Second Order Phase Transitions in Elementary Cellular Automata
• Critical probabilities and convergence time of Percolation Probabilistic Cellular Automata
• An extinction-survival-type phase transition in the probabilistic cellular automaton p182-q200

Cited by in corpus (5)

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• Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects
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• Inefficiency of the block approximation in diploid Probabilistic Cellular Automata
• Metastability in the diluted parallel Ising model