Directed percolation universality in asynchronous evolution of spatiotemporal intermittency
- 1 March 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 57 (3) , R2503-R2506
- https://doi.org/10.1103/physreve.57.r2503
Abstract
We present strong evidence that a coupled-map-lattice model for spatiotemporal 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 suggest 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.Keywords
All Related Versions
This publication has 12 references indexed in Scilit:
- Universal Critical Behavior in Two-Dimensional Coupled Map LatticesPhysical Review Letters, 1996
- Localized phenomena during spatio-temporal intermittency in directional viscous fingeringPhysica D: Nonlinear Phenomena, 1992
- Phase transitions in coupled map latticesPhysica D: Nonlinear Phenomena, 1991
- Mean-field theory and critical behavior of coupled map latticesPhysical Review A, 1990
- Dynamical regimes of directional viscous fingering: Spatiotemporal chaos and wave propagationPhysical Review Letters, 1990
- Role of defects in the transition turbulence via spatiotemporal intermittencyPhysica D: Nonlinear Phenomena, 1989
- Spatio-Temporal Intermittency in Quasi One-Dimensional Rayleigh-Bénard ConvectionEurophysics Letters, 1989
- Spatio-temporal intermittency in coupled map latticesPhysica D: Nonlinear Phenomena, 1988
- Spatiotemporal Intermittency in Rayleigh-Bénard ConvectionPhysical Review Letters, 1988
- Front motion, metastability and subcritical bifurcations in hydrodynamicsPhysica D: Nonlinear Phenomena, 1986