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Additional info for Altindische Grammatik - Introduction générale : Nouvelle édition du texte paru en 1896, au tome I, Louis Renou
Thus, curvature and rB drifts will be present. 1, these drifts are seen to be in the q direction, vc ¼À vrB ¼ 1 2 mv2k B Â nc eRc mv2? e B2 ¼ mv2k eRc B nq 1 mv2 B Â rB 2 ? 2 Loss cone. resulting in rotation about the axis of symmetry, but no net radial motion. Hence, the drifts do not destroy conﬁnement. Particles with v? 2 are lost immediately. Other particles scatter into the loss cone and then are lost. Thus, the conﬁnement time is proportional to the time required for a particle to scatter into the loss cone.
177, Vienna 1991). 1. 19 can be constructed to display the combined limitation of the ballooning and kink modes. Here qedge ¼q(a) for circular plasmas and qedge ¼q95 for noncircular plasmas q95 ¼ 5a2 B 2 a 2 ð1 þ k2 Þ 1 þ ; 2RI 3 R where the elongation k ¼ ab is the ratio of the vertical to horizontal radii of an elongated plasma. The region of MHD stability is bounded to the left by the m¼2 instability, which results in a disruption (a large-scale MHD instability that terminates the discharge) as qedge !
1 for the mirror plasma. Following ap similar as for the ﬃﬃﬃﬃﬃﬃﬃﬃ development pﬃﬃﬃ mirror conﬁnement, it can be shown that a fraction ’ r=R e of the particles are trapped in this magnetic well, producing a radial particle ﬂux 1 À3 PS À32 2 C 2 Ctrap sr ’ e Csr ¼ e q Csr 2 that is an order of magnitude larger than the Pﬁrsch-Schluter ﬂux due to drifts and is two orders of magnitude larger than the classical particle ﬂux in cylindrical geometry. This trapped particle ﬂux only exists when the particles have time to execute a trapped 3 particle orbit before being scattered through 90 , which requires that qR=uth t90 < e2 .