Localized ideal and resistive instabilities in 3-dimensional MHD equilibria with closed field lines
A class of stability criteria was derived for MHD equilibria with closed field lines. The destabilising perturbations have finite gradients along the field and are localised around a field line, the localisation being stronger on the pressure surface than in the radial direction. By contrast, in sheared configurations the localisation is comparable in both directions. The derived stability criteria are less stringent than those obtained for MHD equilibria, with shear for similarly localised perturbations in the limit of low shear. These results, obtained from the energy principle, are a particular case of those obtained by solving the linearised resistive MHD equations with an appropriate ansatz and subsequently taking the limit of vanishing shear and resistivity.
Bibliographic Reference: Article: Z. Naturforschung, Vol. 45a (1990) pp. 1074-1076
Record Number: 199110119 / Last updated on: 1994-12-02
Original language: en
Available languages: en