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The effect of energetic trapped particles on the ideal and resistive internal kink mode is analysed, including diamagnetic effects. Two different approaches have been followed in the past. The relation between them is investigated by consideration of the dispersion relation for the slowing down hot ion distribution function. The limits of validity of the two approaches are considered in detail. In the first approach, the stabilizing effect associated with the ion diamagnetic frequency is neglected. The dispersion relation yields a low frequency branch identified with the internal kink mode, and a high frequency branch created by hot particles associated with the fishbone mode. In the second approach the ion diamagnetic effects are invoked for beta(h) = 0 to produce two purely propagating modes, the low frequency mode being identified with the internal kink. These modes are made respectively stable and unstable by the hot particle resonance. The high frequency mode is identified with fishbone. Three different branches of the general dispersion relation are simultaneously present. The third branch is neglected for the first approach because it corresponds to an unphysical solution. For the second approach, the branches corresponding to the trapped particle mode coalesce leaving only two physical solutions.

Additional information

Authors: ROMANELLI F, ENEA, Centro Ricerche Energia Frascati (IT);WHITE R B, ENEA, Centro Ricerche Energia Frascati (IT)
Bibliographic Reference: Report: RT/FUS/88/4 EN (1988)
Availability: Available from Servizio Studi e Documentazione, ENEA, Centro Ricerche Energia Frascati, C.P. 65-00044 Frascati, Roma (IT)
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