Spatial Variation of Correlation Times for 1D Phase Turbulence

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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

Scientific paper

10.1016/0375-9601(94)90173-2

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.

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