Turbulent 4-wave Interaction of Two Type of Waves

Details Turbulent 4-wave Interaction of Two Type of Waves Turbulent 4-wave Interaction of Two Type of Waves

1999-12-13

arxiv.org/abs/chao-dyn/9912021v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 1 figure, accepted for publication in Physics Letters A

Scientific paper

10.1016/S0375-9601(99)00865-8

We consider turbulent 4-wave interaction of two types of waves: acoustic waves (dispersion $\omega = k$) and electromagnetic-type waves (dispersion $\Omega^2 = m^2 + p^2$). For large wave vectors ($ k \gg m$), when the dispersion of EM-type waves becomes quasiacoustic, the stationary spectra are obtained following a standard Zakharov approach. In the small wave number region ($ k, p \ll m$) we derive nonlinear differential Kompaneets-type kinetic equation for arbitrary distributions of the interacting fields and find when this equation has Kolmogorov-type power law solutions.

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