Spatial Variation of Correlation Times for 1D Phase Turbulence

Abstract

For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky equation with rigid boundary conditions, we show that there is a substantial variation of the correlation time~${\tau }_c(x)$ with spatial position $x$ in moderately large systems of size $L$. These results suggest that some time-averaged properties of spatiotemporal chaos do not become homogeneous away from boundaries for large systems and for long times.

17 pages including 5 figures (Postscript files separate from the main text), uses revtex macros. Submitted to Physics Letters A

Cited by in corpus (2)

• Microextensive Chaos of a Spatially Extended System
• Average Patterns of Spatiotemporal Chaos: A Boundary Effect