A theory for the nonlinear neoclassical double tearing mode is presented. The equations governing the nonlinear evolution of the mode are obtained for both the locked islands and the islands with different rotation frequencies. The coupling of the two islands plays a destabilizing role in the island growth, especially when the phase between the two islands is locked. The perturbed bootstrap current has a strong stabilizing effect on the inner island but a weak destabilizing effect on the outer island. The inner island width is decreased when there is a relative rotation between the two islands, while the outer island is less affected by plasma rotation. The outer island width is found be an important parameter in determining the inner island width and the stability of the nonmonotonic q-profile.

1.
F. M.
Levinton
,
M. C.
Zarnstorff
,
S. H.
Batha
,
M.
Bell
,
R. V.
Budny
,
C.
Bush
,
Z.
Chang
,
E.
Fredrickson
,
A.
Janos
,
J.
Manickam
,
A.
Ramsey
,
S. A.
Sabbagh
,
G. L.
Schmidt
,
E. J.
Synakowski
, and
G.
Taylor
,
Phys. Rev. Lett.
75
,
4417
(
1995
).
2.
E. J.
Strait
,
L. L.
Lao
,
M. E.
Mauel
,
B. W.
Rice
,
T. S.
Taylor
,
K. H.
Burrell
,
M. S.
Chu
,
E. A.
Lazarus
,
T. H.
Osborne
,
S. J.
Thompson
, and
A. D.
Turnbull
,
Phys. Rev. Lett.
75
,
4421
(
1995
).
3.
H. P.
Furth
,
P. H.
Rutherford
, and
H.
Selberg
,
Phys. Fluids
16
,
1054
(
1973
).
4.
D. H. J.
Goodall
and
J. A.
Wesson
,
Plasma Phys. Controlled Fusion
26
,
789
(
1984
).
5.
P. L.
Pritchett
,
Y. C.
Lee
, and
J. F.
Drake
,
Phys. Fluids
23
,
1368
(
1980
).
6.
M. N. Bussac, D. Edery, R. Pellat, and J. L. Soule, in Plasma Physics and Controlled Nuclear Fusion Research, 1976, Berchtesgarten (International Atomic Energy Agency, Vienna, 1977), Vol. I, pp. 607–613.
7.
J. Manickam, R. C. Grimn, and R. L. Dewar, in Energy Modeling and Simulation 1976, IMACS, edited by A. S. Kydes, A. K. Agrawal, S. Rahman, R. Vichnevetsky, and W. F. Ames (North-Holland, Amsterdam, 1983), pp. 355–359.
8.
J. W.
Connor
,
S. C.
Cowley
,
R. J.
Hastie
,
T. C.
Hender
,
A.
Hood
, and
T. J.
Martin
,
Phys. Fluids
31
,
577
(
1988
).
9.
B.
Carreras
,
H. R.
Hicks
, and
B. V.
Waddell
,
Nucl. Fusion
19
,
583
(
1979
).
10.
R. G.
Kleva
,
J. F.
Drake
, and
R. E.
Denton
,
Comments Plasma Phys. Controlled Fusion
13
,
63
(
1989
).
11.
L.
Ofman
,
Phys. Fluids B
4
,
2751
(
1992
).
12.
R. L.
Dewar
and
M.
Persson
,
Phys. Fluids B
5
,
4273
(
1993
).
13.
R. L.
Dewar
and
M.
Persson
,
Phys. Fluids B
5
,
3844
(
1993
).
14.
R. L.
Dewar
and
M.
Persson
,
Phys. Plasmas
1
,
1256
(
1994
).
15.
Q.
Yu
,
Phys. Plasmas
3
,
2898
(
1996
).
16.
R.
Carrear
,
R. D.
Hazeltine
, and
M.
Kotschenreuther
,
Phys. Fluids
29
,
899
(
1986
).
17.
J. D. Callen, W. X. Xu, K. D. Siebert, B. A. Carreras, K. C. Shaing, and D. A. Spond, in Plasma Physics and Controlled Nuclear Fusion Research, 1986, Kyoto (International Atomic Energy Agency, Vienna, 1987), Vol. 2, p. 157; also see National Technical Information Service Document, No. DE86008946 (University of Wisconsin Plasma Report UWPR 85–5 by W. X. Xu and J. D. Callen). Copies may be obtained from the National Technical Information Service, Springfield, Virginia 22161.
18.
C. C.
Hegna
and
J. D.
Callen
,
Phys. Fluids B
4
,
1855
(
1992
).
19.
Richard
Fitzpatrick
,
Phys. Plasmas
2
,
825
(
1995
).
20.
Z.
Chang
,
J. D.
Callen
,
E. D.
Fredrickson
,
R. V.
Budny
,
C. C.
Hegna
,
K. M.
McGuire
,
M. C.
Zarnstorff
, and the TFTR group,
Phys. Rev. Lett.
74
,
4663
(
1995
).
21.
A. I.
Smolyakov
,
A.
Hirose
,
E.
Lazzaro
,
G. B.
Re
, and
J. D.
Callen
,
Phys. Plasmas
2
,
1581
(
1995
).
22.
H. R.
Wilson
,
J. W.
Connor
,
R. J.
Hastie
, and
C. C.
Hegna
,
Phys. Plasmas
3
,
248
(
1996
).
23.
H. P.
Furth
,
J.
Killen
, and
M. N.
Rosenbluth
,
Phys. Fluids
6
,
459
(
1963
).
24.
P. H.
Rutherford
,
Phys. Fluids
16
,
1903
(
1973
).
25.
R. B.
White
,
D. A.
Monticello
,
M. N.
Rosenbluth
, and
B. V.
Waddell
,
Phys. Fluids
20
,
800
(
1977
).
26.
A. B.
Bondeson
and
J. R.
Scorbel
,
Phys. Fluids
24
,
2028
(
1984
).
27.
R.
Fitzpatrick
,
Phys. Plasmas
1
,
3308
(
1994
).
28.
D. M. Meade and the TFTR Group, in Plasma Physics and Controlled Nuclear Fusion Research 1990, Washington, DC (International Atomic Energy Agency, Vienna, 1991), Vol. I, pp. 9–24.
29.
T. S.
Taylor
,
H.
St. John
,
A. D.
Turnbull
,
Y. R.
Lin-Liu
,
K. H.
Burrell
,
V.
Chan
,
M. S.
Chu
,
J. R.
Ferron
,
L. L.
Lao
,
R. J.
La Haye
,
E. A.
Lazarus
,
R. L.
Miller
,
P. A.
Politzer
,
D. P.
Schissel
, and
E. J.
Strait
,
Plasma Phys. Controlled Fusion
36
,
B229
(
1994
).
This content is only available via PDF.
You do not currently have access to this content.