Order, Disorder, and Phase Turbulence
- 21 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 57 (3) , 325-328
- https://doi.org/10.1103/physrevlett.57.325
Abstract
Phase turbulence—a phenomenon associated with the time evolution of extended spatial patterns—is investigated on the basis of the Kuramoto-Sivashinsky equation. The turbulent behavior may be thought of as disorder of a primary cellular pattern and described by hydrodynamic analysis of slow modes. Such an approach explains qualitatively the spatial fluctuation spectrum. It also suggests that the ordering of the system into a linearly stable cellular state is inhibited and the lifetime of the turbulent state grows exponentially with the size of the system. This anomalous glasslike relaxation was observed in a numerical simulation.Keywords
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