Anisotropic spectra of acoustic type turbulence

Physics – Plasma Physics

Scientific paper

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Scientific paper

10.1063/1.2928160

We consider the problem of spectra for acoustic type of turbulence generated by shocks being randomly distributed in space. We show that for turbulence with a weak anisotropy such spectra have the same dependence in $k$-space as the Kadomtsev-Petviashvili (KP) spectrum: $E(k)\sim k^{-2}$. However, the frequency spectrum has always the falling $\sim \omega^{-2}$, independently on anisotropy. In the strong anisotropic case the energy distribution relative to wave vectors takes anisotropic dependence forming in the large $% k $ region the spectra of the jet type.

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