Vortex Glass and Vortex Liquid in Oscillatory Media

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''.

4 pages, 2 figures, submitted to Physical Review Letters

References in corpus (2)

• The World of the Complex Ginzburg-Landau Equation
• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation

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