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Published online by Cambridge University Press: 13 March 2009
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.