arXiv · chao-dyn/9311002
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~$τ_c(x)$ 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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David A. Egolf, Henry S. Greenside. 1993-11-11. Spatial Variation of Correlation Times for 1D Phase Turbulence. https://doi.org/10.1016/0375-9601(94)90173-2
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