Drift‐Alfve´n kinetic stability theory in the ballooning mode approximation
作者:
Bong‐Guen Hong,
W. Horton,
Duk‐In Choi,
期刊:
Physics of Fluids B: Plasma Physics
(AIP Available online 1989)
卷期:
Volume 1,
issue 8
页码: 1589-1599
ISSN:0899-8221
年代: 1989
DOI:10.1063/1.858937
出版商: AIP
数据来源: AIP
摘要:
The coupled drift‐shear Alfve´n mode including the complete Bessel function gyroradius effect and the ∇⊥B‐curvature guiding center drift resonance of kinetic theory is solved for the toroidal ballooning mode eigenvalues and eigenfunctions. Comparisons between nonlocal (ballooning) and local kinetic theory and between nonlocal fluid and kinetic theory are made. The critical plasma pressure for kinetic ballooning mode instability is only the same as the magnetohydrodynamic (MHD) theory critical pressure &bgr;MHDfor &eegr;i=0. The critical kinetic theory plasma pressure &bgr;K(&eegr;i) is well below &bgr;MHDand the kinetic theory growth rate is unstable for allk. The MHD second stability region is also unstable in the kinetic theory. The kinetic theory growth rate is a maximum aroundk≤0.3–0.5 for finite aspect ratio &egr;n=rn/R. The effects of trapped electrons are found to be weakly stabilizing both analytically and numerically, and the instability is still significant outside the ideal MHD stable window from the ion magnetic drift resonances when &eegr;i≳1. The kinetic growth rate is a function of the six dimensionless parametersk,q2&bgr;, &egr;n,s, &eegr;i, and &tgr;=Te/Ti.
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