The effect of a nonuniform resistive wall on the stability of plasma magnetohydrodynamical (MHD) modes is examined. For the case of a tokamak plasma interacting with a wall possessing toroidally nonuniform electrical resistance, the kink mode dispersion relation is found to reduce to a surprisingly simple form, provided that the scale of variation of the resistance is sufficiently large. The influence of a wall with toroidal gaps on tokamak plasma stability is investigated in some detail. Under some circumstances, kink modes are found to ‘‘explode’’ through the gaps with ideal growth rates. A similar investigation is made for a modular wall constructed of alternate thick and thin sections.
REFERENCES
1.
J. P.
Goedbloed
, D.
Pftrsch
, and H.
Tasso
, Nucl. Fusion
12
, 649
(1972
).2.
3.
4.
5.
6.
J. P.
Freidberg
, J. P.
Goedbloed
, and R.
Rohatgi
, Phys. Rev. Lett.
51
, 2105
(1983
).7.
8.
F.
Gnesotto
, G.
Miano
, and G.
Rubinacci
, IEEE Trans. Magn.
21
, 2400
(1985
).9.
10.
11.
P. H. Rutherford, in Proceedings of the Course and Workshop, Varenna 1985 (Commission of the European Communities, Brussels, 1986), Vol. 2, p. 531.
12.
13.
G.
Berge
, L. K.
Sandal
, and J. A.
Wesson
, Phys. Scr.
40
, 173
(1989
).14.
15.
16.
T. C.
Hender
, C. G.
Gimblett
, and D. C.
Robinson
, Nucl. Fusion
29
, 1279
(1989
).17.
18.
D.
Edery
and A.
Samain
, Plasma Phys. Controlled Nucl. Fusion
32
, 93
(1990
).19.
20.
H.
Zohm
, A.
Kallenbach
, H.
Bruhns
, G.
Fussmann
, and O.
Klüber
, Europhys. Lett.
11
, 745
(1990
).21.
A. F.
Almagri
, S.
Assadi
, S. C.
Prager
, J. S.
Sarff
, and D. W.
Kerst
, Phys. Fluids B
4
, 4081
(1992
).22.
23.
D. Eckhartt, Proceedings of the 9th Symposium on Fusion Technology, Garmisch-Partenkirchen 1976 (Pergamon, Oxford, 1976), p. 33.
24.
25.
R. J. Hayward, P. A. Nertney, and R. T. C. Smith, Proceedings of the 14th Symposium on Fusion Technology, Avignon 1986 (Pergamon, Oxford, 1986), Vol. 1, p. 461.
26.
H. W. Kugel, N. Asakura, R. Bell, M. Chance, P. Duperrex, J. Faunce, R. Fonck, G. Gammel, R. Hatcher, P. Heitzenroeder, A. Holland, S. Jardin, T. Jiang, R. Kaita, S. Kaye, B. LeBlanc, M. Okabayashi, Y. Qin, S. Paul, N. Sauthoff, S. Schweitzer, S. Sesnic, and H. Takahashi, in Controlled Fusion and Plasma Physics 1989, Proceedings of 16th European Conference, Venice (European Physical Society, Geneva, 1989), Vol. 1, p. 199.
27.
P. H. Edmonds, E. R. Solano, and A. J. Wootton, Proceedings of the 15th Symposium on Fusion Technology, Utrecht 1988 (North-Holland, Amsterdam, 1989), Vol. 1, p. 343.
28.
P.H.
Rebut
, D.
Boucher
, D. J.
Gambier
, B. E.
Keen
, and M. L.
Watkins
, Fusion Eng. Design
22
, 7
(1993
).29.
W. M. Manheimer and C. Lashmore-Davies, MHD Instabilities in Simple Plasma Configurations (Naval Research Laboratory, Washington, DC, 1984), Chap. VIII.
30.
M. N.
Rosenbluth
, D. A.
Monticello
, H. R.
Strauss
, and R. B.
White
, Phys. Fluids
19
, 1987
(1976
).31.
R. Fitzpatrick, in Theory of Fusion Plasmas, Proceedings of the Joint Varenna-Lausanne International Workshop, Varenna 1992 (Società Ital-iana di Fisica, Bologna, 1992), p. 147.
32.
R.
Fitzpatrick
, R. J.
Hastie
, T. J.
Martin
, and C. M.
Roach
, Nucl. Fusion
33
, 1533
(1993
).33.
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