Physics – Plasma Physics
Scientific paper
2001-02-21
Phys. Rev. Letters 86, 2321-2324 (2001)
Physics
Plasma Physics
4 pages typeset, including 2 figures. Paper accepted for publication in Phys. Rev. Letters
Scientific paper
10.1103/PhysRevLett.86.2321
The spectrum of ideal magnetohydrodynamic (MHD) pressure-driven (ballooning) modes in strongly nonaxisymmetric toroidal systems is difficult to analyze numerically owing to the singular nature of ideal MHD caused by lack of an inherent scale length. In this paper, ideal MHD is regularized by using a $k$-space cutoff, making the ray tracing for the WKB ballooning formalism a chaotic Hamiltonian billiard problem. The minimum width of the toroidal Fourier spectrum needed for resolving toroidally localized ballooning modes with a global eigenvalue code is estimated from the Weyl formula. This phase-space-volume estimation method is applied to two stellarator cases.
Ball Richard
Cuthbert C.
Dewar Robert L.
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