Characterization of the Transition from Defect to Phase Turbulence

1994/07/21 by David A. Egolf, Henry Greenside, Henry S. Greenside · 4 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #chao-dyn #nlin.CD #nlin.PS #patt-sol #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.74.1751

18 pages including 4 figures, uses REVTeX macros. Submitted to Phys. Rev. Lett

arxiv created 1994/07/21 · openalex publication_date 1995/03/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For the complex Ginzburg-Landau equation on a large periodic interval, we show that the transition from defect to phase turbulence is more accurately described as a smooth crossover rather than as a sharp continuous transition. We obtain this conclusion by using a parallel computer to calculate various order parameters, especially the density of space-time defects, the Lyapunov dimension density, and correlation lengths. Remarkably, the correlation length of the field amplitude fluctuations is, within a constant factor, equal to the length scale defined by the dimension density.

Citations

• Pattern formation outside of equilibrium

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