Abstract
Recent developments in the derivation of reduced models for weakly compressible magnetohydrodynamic (MHD) turbulence are discussed. A four-field system of equations has been derived from the compressible magnetohydrodynamic (MHD) equations to describe turbulence in the interstellar medium and the solar wind. These equations apply to a plasma permeated by a spatially varying mean magnetic field when the plasma beta is of the order unity or less. In the presence of spatial inhomogeneities, the four-field equations predict pressure fluctuations of the order of the Mach number of the turbulence, as observed by Helios 1 and 2. In the presence of a uniform background field and a spatially homogeneous plasma, the four-field system reduces to the so-called nearly incompressible system. In the weak-turbulence limit, dominated by three-wave interactions, the anisotropic energy spectrum is deduced by a combination of exact analytical results and numerical simulations.
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Bhattacharjee, A., Ng, C. (1999). Reduced Models of Magnetohydrodynamic Turbulence in the Interstellar Medium and the Solar Wind. In: Passot, T., Sulem, PL. (eds) Nonlinear MHD Waves and Turbulence. Lecture Notes in Physics, vol 536. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47038-7_7
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DOI: https://doi.org/10.1007/3-540-47038-7_7
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