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The paper presents a detailed formulation of the linear 3D magnetohydrodynamic (MHD) stability problem for anisotropic pressure plasma in the fully fluid limit from the Kruskal-Oberman energy principle. The 3D equilibrium state is constrained to have nested magnetic flux surfaces with a single magnetic axis. Magnetic island structures and questions of the existence of 3D equilibria are excluded from the formulation. The Boozer magnetic coordinate system is applied, appropriately modified for anisotropic plasmas, and the energy principle is Fourier decomposed in the periodic angular variables. The effective parallel current density is identified as an important source of free energy for MHD instabilities. In Boozer coordinates, the geodesic magnetic curvature is shown to be related to effective current density, allowing asymptotic analysis of the ballooning equation yielding a closed form for the Mercier criterion.

Additional information

Authors: COOPER W A, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne (CH)
Bibliographic Reference: Article: Theory of Fusion Plasmas - Proceedings of the Joint Varenna-Lausanne International Workshop (1992) pp. 311-316
Record Number: 199310373 / Last updated on: 1994-11-29
Original language: en
Available languages: en
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