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Directed percolation in asynchronous elementary cellular automata: a detailed study | | Nazim A. Fat{è}s
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23 Mar 2007 | | Journal: | Journal of Cellular Automata (2007) | | Subject: | Cellular Automata and Lattice Gases | | Abstract: | Cellular automata are widely used to model natural systems. Classically they are run with perfect synchrony, {em i.e.}, the local rule is applied to each cell at each time step. A possible modification of the updating scheme consists in applying the rule with a fixed probability, called the synchrony rate. For some particular rules, varying the synchrony rate continuously produces a discontinuity in the behaviour of the cellular automaton. This works aims at investigating the nature of this change of behaviour using intensive numerical simulations. We apply a two-step protocol to show that the phenomenon is a phase transition whose critical exponents are in good agreement with the predicted values of directed percolation. | | Source: | arXiv, nlin/0703044 | | Services: | Forum | Review | PDF | Favorites | |
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