Theory of high-n toroidicity-induced shear Alfven eigenmode in tokamaks
High-n WKB-ballooning mode equation is employed to study toroidicity-induced shear Alfven eigenmodes (TAE) in the /delta/ /minus/ /alpha/ space, where /delta/ = (r/q)(dq/dr) is the magnetic shear, and /alpha/ = /minus/(2Rq/sup 2//B/sup 2/)(dp/dr) is the normalized pressure gradient for tokamak plasmas. In the ballooning mode first stability region, TAE modes are found to exist only for /alpha/ less than some critical value /alpha//sub c/. We also find that these TAE modes reappear in the ballooning mode second stability region for bands of /alpha/ values. The global envelope structures of these TAE modes are studied by WKB method and are found to be bounded radially if the local mode frequency has a maximum in radius. 15 refs., 14 figs.
- Research Organization:
- Texas Univ., Austin, TX (USA). Inst. for Fusion Studies
- DOE Contract Number:
- FG05-80ET53088; AC02-76CH03073
- OSTI ID:
- 5840976
- Report Number(s):
- DOE/ET/53088-385; IFSR-385; ON: DE89016726
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ALFVEN WAVES
SHEAR
TOKAMAK DEVICES
WAVE PROPAGATION
BALLOONING INSTABILITY
MAGNETIC FIELDS
PRESSURE GRADIENTS
WAVE EQUATIONS
WKB APPROXIMATION
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
HYDROMAGNETIC WAVES
INSTABILITY
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
THERMONUCLEAR DEVICES
700108* - Fusion Energy- Plasma Research- Wave Phenomena