Spectral Laws For Energy And Enstrophy Cascades In Electrostatic Turbulence

In this paper we develop spectral laws for the small- and large-wavenumber regimes of the energy and enstrophy cascades in electrostatic turbulence and discuss how these spectra differ, owing to compressibility effects, from those for two-dimensional hydrodynamic turbulence. We also show that the compressibility effects on the scaling laws can be described as intermittency corrections formulated according to the log-normal model of Obukhov and Kolmogorov