Winding Number Instability in the Phase-Turbulence Regime of the Complex Ginzburg-Landau Equation
- 8 July 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (2) , 267-270
- https://doi.org/10.1103/physrevlett.77.267
Abstract
We give a statistical characterization of states with nonzero winding number in the phase turbulence (PT) regime of the one-dimensional complex Ginzburg-Landau equation. We find that states with winding numbers larger than critical ones are unstable in the sense that they decay to states with smaller winding numbers. The transition from phase to defect turbulence is interpreted as an ergodicity breaking transition which occurs when the range of stable winding numbers vanishes. Asymptotically stable states which are not spatiotemporally chaotic are described within the PT regime of a nonzero winding number.Keywords
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This publication has 15 references indexed in Scilit:
- Optical vorticesPublished by Elsevier ,2002
- Characterization of the Transition from Defect to Phase TurbulencePhysical Review Letters, 1995
- Model for the transition in bluff body wakesPhysical Review Letters, 1994
- Relation between fractal dimension and spatial correlation length for extensive chaosNature, 1994
- Spatiotemporal ChaosScience, 1994
- Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equationNonlinearity, 1994
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Fluctuations and pattern selection near an Eckhaus instabilityPhysical Review Letters, 1993
- Numerical study of the dynamical aspects of pattern selection in the stochastic Swift-Hohenberg equation in one dimensionPhysical Review A, 1991
- Breakdown of the Phase DynamicsProgress of Theoretical Physics, 1990