TL;DRAbstract
We have considered the effects of plasma inhomogeneity on MHD waves and instabilities in Chapter 7 for the model of a plane gravitating plasma slab where inhomogeneity is restricted to the vertical direction. For the description of laboratory and astrophysical plasma dynamics, the concept of magnetic flux tubes is quite central, as we have seen in Chapter 8. This automatically leads to the consideration of cylindrical plasmas where the inhomogeneities are operating in the radial direction. Whereas the model remains one-dimensional, so that most of the analytical techniques developed in Chapter 7 remain valid, the introduction of curvature of the magnetic field brings in qualitatively different physical effects that significantly influence the dynamics of flux tubes. We will now neglect gravity since it plays no role in laboratory plasmas and, for astrophysical plasmas, it is more adequately incorporated in an axi-symmetric model with a central gravitating object. The latter requires a
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We have considered the effects of plasma inhomogeneity on MHD waves and instabilities in Chapter 7 for the model of a plane gravitating plasma slab where inhomogeneity is restricted to the vertical direction. For the description of laboratory and astrophysical plasma dynamics, the concept of magnetic flux tubes is quite central, as we have seen in Chapter 8. This automatically leads to the consideration of cylindrical plasmas where the inhomogeneities are operating in the radial direction. Whereas the model remains one-dimensional, so that most of the analytical techniques developed in Chapter 7 remain valid, the introduction of curvature of the magnetic field brings in qualitatively different physical effects that significantly influence the dynamics of flux tubes. We will now neglect gravity since it plays no role in laboratory plasmas and, for astrophysical plasmas, it is more adequately incorporated in an axi-symmetric model with a central gravitating object. The latter requires a
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