Breakdown of universality in transitions to spatio-temporal chaos
Statistical Mechanics
2009-10-31 v3 Chaotic Dynamics
Abstract
In this Letter we show that the transition from laminar to active behavior in extended chaotic systems can vary from a continuous transition in the universality class of Directed Percolation with infinitely many absorbing states to what appears as a first order transition. The latter occurs when {\em finite} lifetime non-chaotic structures, called ``solitons'', dominate the dynamics. We illustrate this scenario in an extension of the deterministic Chat\'e--Manneville coupled map lattice model and in a soliton including variant of the stochastic Domany-Kinzel cellular automaton.
Keywords
Cite
@article{arxiv.cond-mat/0008254,
title = {Breakdown of universality in transitions to spatio-temporal chaos},
author = {Tomas Bohr and Martin van Hecke and Rene' Mikkelsen and Mads Ipsen},
journal= {arXiv preprint arXiv:cond-mat/0008254},
year = {2009}
}
Comments
Accepted for PRL