A set of numerical techniques for investigating the full nonlinear unstable behavior of low‐β kink modes of given helical symmetry in tokamaks is presented. Uniform current density plasmas display complicated deformations including the formation of large vacuum bubbles provided that the safety factor q is sufficiently close to integral. Fairly large m=1 deformations, but not bubble formation, persist for a plasma with a parabolic current density profile (and hence shear). Deformations for m⩾2 are, however, greatly suppressed.
REFERENCES
1.
B. B.
Kadomtsev
and O. P.
Pogutse
, Zh. Eksp. Teor. Fiz.
65
, 575
(1973
)[
B. B.
Kadomtsev
and O. P.
Pogutse
, Sov. Phys.‐JETP
38
, 283
(1973
)].2.
P. H. Rutherford, H. P. Furth, and M. N. Rosenbluth, in Plasma Physics and Controlled Nuclear Fusion Research (International Atomic Energy Agency, Vienna, 1971), Vol. 1, p. 533.
3.
V. D.
Shafranov
, Zh. Tekh. Fiz.
40
, 241
(1970
)[
V. D.
Shafranov
, Sov. Phys.‐Tech. Phys.
15
, 175
(1970
)].4.
M. Chance, J. Greene, R. Grimm, and J. Johnson (to be published).
5.
Y. N.
Dnestrovski
, L. E.
Zakharov
, D. P.
Kostomorov
, A. C.
Kukushkin
, and L. F.
Suzdaltseva
, Pis’ma Zh. Tekh. Fiz.
1
, 45
(1975
)[
Y. N.
Dnestrovski
, L. E.
Zakharov
, D. P.
Kostomorov
, A. C.
Kukushkin
, and L. F.
Suzdaltseva
, Sov. Tech. Phys. Lett.
1
, 18
(1975
)].6.
T. Oliphant (private communication).
7.
This content is only available via PDF.
© 1976 American Institute of Physics.
1976
American Institute of Physics
You do not currently have access to this content.