Spreading transitions and universality classes in CMLs
N. Gupte, and Z. Jabeen. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
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.
%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
}