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Variational calculation of electromagnetic instabilities in tokamaks. (English) Zbl 0693.76056

Summary: A variational method is presented in order to determine and study linear microinstabilities in tokamaks. Exploiting the existence of a system of action and angular variables for trapped and circulating particles, a functional, extremum in the turbulent electromagnetic field, is analytically established and implemented in the code TORRID. The coupling of poloidal harmonics due to toroidal effects is investigated within the frame of a WKB formalism whose zeroth order is equivalent to the ballooning analysis. The essential features of the code TORRID are described. Curvature effects on ionic modes profiles and stability thresholds are presented as an example of application.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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