Transitions to Line-Defect Turbulence in Complex Oscillatory Media
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Pattern Formation and Solitons
patt-sol
Abstract
The transition from complex-periodic to chaotic behavior is investigated in oscillatory media supporting spiral waves. We find turbulent regimes characterized by the spontaneous nucleation, proliferation and erratic motion of synchronization defect lines which separate domains of different oscillation phases. The line defect dynamics is controlled by the competition between diffusion, which reduces line length and curvature, and phase-gradient-induced growth. The onset of each type of defect-line turbulence is identified with a non-equilibrium phase transition characterized by non-trivial critical exponents.
Cite
@article{arxiv.chao-dyn/9904018,
title = {Transitions to Line-Defect Turbulence in Complex Oscillatory Media},
author = {Andrei Goryachev and Hugues Chate' and Raymond Kapral},
journal= {arXiv preprint arXiv:chao-dyn/9904018},
year = {2009}
}
Comments
Submitted to Phys. Rev. Lett