Vortex Glass and Vortex Liquid in Oscillatory Media
Statistical Mechanics
2016-08-31 v1 Disordered Systems and Neural Networks
Abstract
We study the disordered, multi-spiral solutions of two-dimensional homogeneous oscillatory media for parameter values at which the single spiral/vortex solution is fully stable. In the framework of the complex Ginzburg-Landau (CGLE) equation, we show that these states, heretofore believed to be static, actually evolve on ultra-slow timescales. This is achieved via a reduction of the CGLE to the evolution of the sole vortex position and phase coordinates. This true defect-mediated turbulence occurs in two distinct phases, a vortex liquid characterized by normal diffusion of individual spirals, and a slowly relaxing, intermittent, ``vortex glass''.
Cite
@article{arxiv.cond-mat/0208238,
title = {Vortex Glass and Vortex Liquid in Oscillatory Media},
author = {Carolina Brito and Igor S. Aranson and Hugues Chate},
journal= {arXiv preprint arXiv:cond-mat/0208238},
year = {2016}
}
Comments
4 pages, 2 figures, submitted to Physical Review Letters