Arbitrary mode number boundary‐layer theory for nonideal toroidal Alfve´n modes
作者:
H. L. Berk,
R. R. Mett,
D. M. Lindberg,
期刊:
Physics of Fluids B: Plasma Physics
(AIP Available online 1993)
卷期:
Volume 5,
issue 11
页码: 3969-3996
ISSN:0899-8221
年代: 1993
DOI:10.1063/1.860617
出版商: AIP
数据来源: AIP
摘要:
The theory of toroidicity‐induced Alfve´n eigenmodes (TAE) and kinetic TAE (KTAE) is generalized to arbitrary mode numbers for a large aspect ratio low‐beta circular tokamak. The interaction between nearest neighbors is described by a three‐term recursion relation that combines elements from an outer region, described by the ideal magnetohydrodynamic equations of a cylinder, and an inner region, which includes the toroidicity and the nonideal effects of finite ion Larmor radius, electron inertia, and collisions. By the use of quadratic forms, it is proven that the roots of the recursion relation are stable and it is shown how perturbation theory can be applied to include frequency shifts due to other kinetic effects. Analytic forms are derived which display the competition between the resistive and radiative damping, where the radiation is carried by kinetic Alfve´n waves. When the nonideal parameter is small, the KTAE modes appear in pairs. When this parameter is large, previously found scaling for the single gap case is reproduced analytically.
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