%0 Book Section %1 statphys23_0664 %A Gupte, N. %A Jabeen, Z. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K automata cellular classes coupled deterministic directed lattice map percolation probabilistic statphys23 topic-5 universality %T Spreading transitions and universality classes in CMLs %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=664 %X The phase diagram of the coupled sine circle map lattice shows spatio-temporal intermittency of two distinct types: spatio-temporal intermittency of the directed percolation class, and spatial intermittency which does not belong to this class. These two types of behaviour are seen to be special cases of the spreading and non-spreading regimes seen in the system, with the two regimes being separated by an infection line. The coupled map lattice can be mapped on to an equivalent cellular automaton which shows a transition from a probabilistic cellular automaton (PCA) to a deterministic cellular automaton (DCA) at the infection line. Thus the existence of the DP and non-DP universality classes in the same system is reflected in the PCA to DCA transition. We also provide pointers to the dynamical reasons for this transition.

@incollection{statphys23_0664, abstract = {The phase diagram of the coupled sine circle map lattice shows spatio-temporal intermittency of two distinct types: spatio-temporal intermittency of the directed percolation class, and spatial intermittency which does not belong to this class. These two types of behaviour are seen to be special cases of the spreading and non-spreading regimes seen in the system, with the two regimes being separated by an infection line. The coupled map lattice can be mapped on to an equivalent cellular automaton which shows a transition from a probabilistic cellular automaton (PCA) to a deterministic cellular automaton (DCA) at the infection line. Thus the existence of the DP and non-DP universality classes in the same system is reflected in the PCA to DCA transition. We also provide pointers to the dynamical reasons for this transition.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Gupte, N. and Jabeen, Z.}, biburl = {https://www.bibsonomy.org/bibtex/2d8233074e2d2d6b7f8e81c21dbab2c7d/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {61dcd7ba9cf847d5cf1446197e08aac2}, intrahash = {d8233074e2d2d6b7f8e81c21dbab2c7d}, keywords = {automata cellular classes coupled deterministic directed lattice map percolation probabilistic statphys23 topic-5 universality}, month = {9-13 July}, timestamp = {2007-06-20T10:16:26.000+0200}, title = {Spreading transitions and universality classes in CMLs}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=664}, year = 2007 }