Directed Percolation Universality in Asynchronous Evolution of Spatio-Temporal Intermittency

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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12 pages, RevTeX, includes 6 figures, submitted to Physical Review Letters; changed version includes a better physical motivat

Scientific paper

10.1103/PhysRevE.57.R2503

We present strong evidence that a coupled-map-lattice model for spatio-temporal intermittency belongs to the universality class of directed percolation when the updating rules are asynchronous, i.e. when only one randomly chosen site is evolved at each time step. In contrast, when the system is subjected to parallel updating, available numerical evidence suggests that it does not belong to this universality class and that it is not even universal. We argue that in the absence of periodic external forcing, the asynchronous rule is the more physical.

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