The current level of phenomenological MHD turbulence modelling is outlined together with recent results of experimental measurements and direct numerical simulations. After reviewing the spatially isotropic Kolmogorov and Iroshnikov-Kraichnan phenomenologies, the model of Goldreich and Sridhar is discussed, which introduces the concept of local anisotropy caused by the magnetic field. The She-Lévêque picture of intermittency dealing with the anomalous scaling of the two-point structure functions is also considered, followed by a summary of the phenomenological theory of turbulent energy-decay. It is shown how the combination of phenomenology and numerical simulation leads to the physical model of homogeneous MHD turbulence.
Turbulence and Magnetic Fields in Astrophysics
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