Nonstationary wave turbulence |
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| Authors: | G E Falkovich A V Shafarenko |
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| Institution: | (1) Department of Nuclear Physics, Weizmann Institute of Science, 76100 Rehovot, Israel;(2) Present address: Institute of Automation and Electrometry, 630090 Novosibirsk, Russia, USSR;(3) Department of Electronic and Electrical Engineering, University of Surrey, GU2 5XH Guildford, UK |
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| Abstract: | Summary Nonstationary regimes of the wave turbulence evolution are considered in the framework of isotropic kinetic equation. It is
predicted analytically and confirmed by numerical experiment that there is a class of wave systems in which any initial distribution
of the turbulence energy ink-space comes into a universal, Kolmogorovtype spectrum in a finite time. Before and after the formation of the Kolmogorov
spectrum, two different self-similar regimes of evolution occur: the first one is responsible for explosively forming the
universal spectrum and the second one determines energy dissipation. |
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| Keywords: | wave turbulence Kolomogorov spectrum self-similarity explosion regime |
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