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Magnetohydrodynamic Stability of a Sharp Boundary Toroidal Plasma

 

作者: Glenn Bateman,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1971)
卷期: Volume 14, issue 7  

页码: 1506-1511

 

ISSN:0031-9171

 

年代: 1971

 

DOI:10.1063/1.1693637

 

出版商: AIP

 

数据来源: AIP

 

摘要:

For a toroidally symmetric sharp boundary plasma, the magnetohydrodynamic stability analysis of Lu¨st, Suydam, Richtmyer, Rotenberg, and Levy is extended to equilibria with a small ratio of azimuthal to longitudinal magnetic fields and a large aspect ratio(&agr;). These equilbria exist only when&bgr;<&agr;(field ratio)2/2. In the limit of small&bgr;, the stability criteria are identical to those of a straight cylindrical plasma with length2&pgr;&agr;. This is true to leading order in1/&agr;in spite of mathematical complications arising from toroidal effects. However, as&bgr;is increased to its maximum value for field ratios of order1/&agr;, toroidal effects help stabilize long‐wavelength kink modes. The limits considered apply to tokamaks.

 

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