Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-08-12
Physics
Condensed Matter
Statistical Mechanics
4 pages, 2 figures, submitted to Physical Review Letters
Scientific paper
10.1103/PhysRevLett.90.068301
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''.
Aranson Igor S.
Brito Carolina
Chate' Hugues
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