No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Magnetohydrodynamic stability at a separatrix. I. Toroidal peeling modes and the energy principle
1.J. Wesson, Tokamaks (Oxford University Press, Oxford, 1997).
4.H. R. Wilson, J. W. Connor, A. R. Field, S. J. Fielding, R. L. Miller, L. L. Lao, J. R. Ferron, and A. D. Turnbull, Phys. Plasmas 6, 1925 (1999).
6.S. Yu. Medvedev, T. C. Hender, O. Sauter, and L. Villard, Proceedings of the 28th EPS Conference on Controlled Fusion and Plasma Physics, ECA 2001, Vol. 25A, p. 21.
10.S. Saarelma (private communication, 2007).
11.D. Lortz, Nucl. Fusion 15, 49 (1975).
13.J. P. Freidberg, Ideal Magnetohydrodynamics (Plenum, New York, 1987).
16.G. Bateman, MHD Instabilities (MIT Press, Cambridge, Massachusetts, 1980).
17.J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
18.A. J. Webster and H. R. Wilson, Proceedings of the Joint Varenna-Lausanne International Workshop on the Theory of Fusion Plasmas, Villa Monastero—Varenna, Italy, 2002, edited by J. W. Connor, O. Sauter, and E. Sindoni (Societa Italiana di Fisica, Bologna, 2002), p. 417.
19.Before continuing further we make some observations on the high- ordering that for usually leads to . This analysis is used in the derivation of used in Sec. V onwards, and to derive the equations solved by ELITE (Ref. 9). The ordering implicitly assumes that , which is the case in the plasma core where because . Whereas a sufficiently large can always be found to ensure , and terms of this type will often be negligible order one contributions anyhow, future calculations would be improved by including them. For example would then become . For the present we will continue to use the ordering employed by Connor et al. (Ref. 12) that is also used to derive the equations solved by ELITE.
20.A. J. Webster, Phys. Plasmas 16, 082503 (2009).
22.Observe that we could have (incorrectly) argued that whereas at the separatrix, the plasma motion does not. This argument is incorrect, however, because the linearized stability analysis requires that always, and hence that where denotes the plasma surface. Then we have . The normalization of is discussed in detail in the Appendix.
Article metrics loading...
Full text loading...
Most read this month