Re-entrant behaviour in the Domany-Kinzel cellular automaton
- 21 June 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (12) , L423-L429
- https://doi.org/10.1088/0305-4470/27/12/005
Abstract
We present numerical and analytical results for a special kind of one-dimensional probabilistic cellular automaton, the so-called Domany-Kinzel automaton. It is shown that the phase boundary separating the active and the recently found chaotic phase exhibits re-entrant behaviour. Furthermore exact results for the p2=0 line are discussed.Keywords
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This publication has 9 references indexed in Scilit:
- The Domany-Kinzel cellular automaton: relaxation time, susceptibility and constrained dynamicsJournal of Physics A: General Physics, 1994
- The Domany-Kinzel cellular automaton revisitedJournal de Physique I, 1992
- Mean-field (n,m)-cluster approximation for lattice modelsPhysical Review A, 1992
- Evidence for a new phase in the Domany-Kinzel cellular automatonPhysical Review Letters, 1991
- Directed polymers in a random medium: 1/d expansion and the n-tree approximationJournal of Physics A: General Physics, 1990
- Local structure theory for cellular automataPhysica D: Nonlinear Phenomena, 1987
- Phase transitions of cellular automataZeitschrift für Physik B Condensed Matter, 1985
- Equivalence of Cellular Automata to Ising Models and Directed PercolationPhysical Review Letters, 1984
- The Path Probability MethodProgress of Theoretical Physics Supplement, 1966