English

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