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Magneto-Hydrodynamic High-n Ballooning Mode Instability of an Analytic Axi-Symmetric Toroidal Equilibrium with Arbitrary Aspect Ratio |
| SHI Bing-Ren;LI Ji-Quan |
| Southwestern Institute of Physics, PO Box 432, Chengdu 610041 |
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| Cite this article: |
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SHI Bing-Ren, LI Ji-Quan 2007 Chin. Phys. Lett. 24 490-493 |
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Abstract An exact ballooning mode eigen-equation is derived to study stability of axi-symmetric toroidal plasma with arbitrary aspect ratio, including the tokamak, the finite aspect ratio and the spherical torus plasmas. For comparison with the widely used (s-α) model, an analytic exact equilibrium configuration with circular magnetic surfaces is analysed in detail. It is indicated that the (s-α) model needs to be improved for more realistic configurations.
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| Keywords:
52.35.Py
52.55.Fa
52.30.Cv
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Received: 26 July 2006
Published: 24 February 2007
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| PACS: |
52.35.Py
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(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
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52.55.Fa
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(Tokamaks, spherical tokamaks)
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52.30.Cv
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(Magnetohydrodynamics (including electron magnetohydrodynamics))
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[8] Shi B R 2004 Plasma Phys. Control. Fusion 46 1105
[9] Scott M R 1973 Invariant Imbedding and Its Application toOrdinary Differential Equations (Reading, MA: Addison-Wesley) |
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