Breakdown of universality in transitions to spatio-temporal chaos

Details Breakdown of universality in transitions to spatio-temporal chaos Breakdown of universality in transitions to spatio-temporal chaos

2000-08-17

arxiv.org/abs/cond-mat/0008254v3

Physics

Condensed Matter

Statistical Mechanics

Accepted for PRL

Scientific paper

10.1103/PhysRevLett.86.5482

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.

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