Spheromak tilting instability in cylindrical geometry
作者:
John M. Finn,
Wallace M. Manheimer,
Edward Ott,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1981)
卷期:
Volume 24,
issue 7
页码: 1336-1341
ISSN:0031-9171
年代: 1981
DOI:10.1063/1.863536
出版商: AIP
数据来源: AIP
摘要:
The internal tilting instability in a force‐free spheromak plasma in cylindrical geometry is examined. It is found that this instability, originally found in spherical geometry, also occurs in cylindrical geometry. The analysis proceeds by first demonstrating that if no mode rational surface is present in the plasma, a necessary and sufficient condition for ideal magnetohydrodynamic instability is that there exist a solution to ∇×Bm= &mgr;mBm, where Bm∼exp(im&Vthgr;), with &mgr;m<&mgr;0. Solutions to this equation are investigated using two approaches, by a series expansion and by a numerical solution of a modified set of linearized magnetohydrodynamic equations. The eigenvalue for them= 1 mode satisfies &mgr;1<&mgr;0forL/a≳1.67. Since no mode rational surface exists for this elongation, an ideal magnetohydrodynamic mode, identified as the tilting mode, is unstable for these parameters. All modes withm≳1 are shown to be stable.
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