Abstract

In this paper, the scaling properties of magnetohydrodynamic (MHD) turbulence fluctuations are studied for different data sets. The Data is collected in two different setups, namely in situ satellite observations of the solar wind and the direct numerical simulation of incompressible MHD equations. It is found that the probability density functions (PDFs) of inertial range energy fluctuations exhibit self-similarity and monoscaling in agreement with solar-wind measurements. Furthermore, the energy PDFs exhibit similarity over all scales of the turbulent system showing no substantial qualitative change of shape as the scale of the fluctuations varies. On the contrary, our results also exhibit that magnetic, velocity and Elsässer field fluctuations have an intermittent structure so that the associated PDFs change from Gaussian at large scales to leptokurtic (fat-tailed) at small scales.

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