Spatial variation of correlation times for 1D phase turbulence
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 τc(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. © 1994.
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