Download Dynamics of Quiescent Prominences by Vladimir Ruzdjak, Einar Tandberg-Hanssen PDF

By Vladimir Ruzdjak, Einar Tandberg-Hanssen

For your time to come back, this ebook could be the most resource for study in prominences. It surveys the result of the prior years, together with the "Hvar Reference Atmosphere", which used to be constructed by means of a panel as a version for quiescent prominences. The reader will locate papers at the formation of and actual stipulations in prominences, on magnetic fields, on mass movement and effort stream, and at the prominence-corona interface.

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Example text

Therefore, the expansion in these parameters is quite justified for the solution of stellarator problems. In our case, such an expansion determines the accuracy of calculation of the function 'l/Jv. In stellarator theory, the most interesting cases are those where the presence of B* . V on the left-hand side of Eq. 12) greatly influences the result. The opposite case corresponds to the asymptotic transition to a tokamak. At such a transition, incidently, the condition /-l/m ~ 1 becomes unnecessary, since it was used only to find the field B*, which disappears at iJ -+ o.

48) In tokamaks, r B t is a constant on a magnetic surface. In [131]' it was shown that with a high accuracy this is also correct for a stellarator even for finite pressure of the plasma (for a vacuum field rBt = RBo = const everywhere). With this property, Eq. 50) In the last. term we have replaced r Btl R by B o, which is the vacuum longitudinal field on the axis of a stellarator (r = R). Plasma-Equilibrium Control in Stellarators 51 In a similar manner, we can prove with the help ofEq. 47) that (B· V() = r;t (1- (0)).

75) It is much easier to work with this expression: the value pB is combined exactly as aoB, and it remains to treat the combination pV fH. The explicitly detached small (or more precisely, very small) parameter on the left-hand side does not create any problem. It follows from Eq. 76) therefore (p(B - VfH), = p(B - VlH) - (fJ (13 - V(c5r . V IH))),. 77) The toroidal component of this vector is determined by the strong toroidal field. The terms quadratic in 13, which are obtained here at the averaging over (, should be kept only in the v.

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