A complete expression is obtained for the poloidal variation of the electrostatic potential in the banana regime for large aspect ratio flux surfaces using the method of matched asymptotic expansions. The result exhibits a finite discontinuity at the innermost point of a flux surface instead of a divergence as previously reported. Using this expression in combination with the solution of the linearized drift kinetic equation with a model collision operator, the part of the toroidal angular momentum flux due to the poloidal electric field is calculated. The result is larger than the one in existing works, which neglect the poloidal electric field, by the order of the square root of the aspect ratio.
REFERENCES
1.
M. N.
Rosenbluth
, P. H.
Rutherford
, J. P.
Taylor
, E. A.
Frieman
, and L. M.
Kovrizhnykh
, Plasma Physics and Controlled Nuclear Fusion Research
(IAEA
, Vienna
, 1971
), Vol. 1
, p. 495
.2.
S. K.
Wong
and V. S.
Chan
, Phys. Plasmas
12
, 092513
(2005
).3.
P. J.
Catto
and A. N.
Simakov
, Phys. Plasmas
12
, 012501
(2005
).4.
S. K.
Wong
and V. S.
Chan
, Phys. Plasmas
14
, 112505
(2007
).5.
F. L.
Hinton
and M. N.
Rosenbluth
, Phys. Fluids
16
, 836
(1973
).6.
S. K.
Wong
and V. S.
Chan
, Phys. Rev. E
67
, 066406
(2003
).7.
M. N.
Rosenbluth
, R. D.
Hazeltine
, and F. L.
Hinton
, Phys. Fluids
15
, 116
(1972
).8.
J. W.
Connor
, Plasma Phys.
15
, 765
(1973
).9.
S. P.
Hirshman
, D. J.
Sigmar
, and J. F.
Clarke
, Phys. Fluids
19
, 656
(1976
).10.
S. K.
Wong
and V. S.
Chan
, Phys. Plasmas
14
, 122501
(2007
).11.
H. A.
Claassen
, H.
Gerhauser
, A.
Rogister
, and C.
Yarim
, Phys. Plasmas
7
, 3699
(2000
).12.
J. S.
deGrassie
, J. E.
Rice
, K. H.
Burrell
, R. J.
Groebner
, and W. M.
Solomon
, Phys. Plasmas
14
, 056115
(2007
).13.
J. E.
Rice
, W. D.
Lee
, E. S.
Marmar
, P. T.
Bonoli
, R. S.
Granetz
, M. J.
Greenwald
, A. E.
Hubbard
, I. H.
Hutchinson
, J. H.
Irby
, Y.
Lin
, D.
Mossessian
, J. A.
Snipes
, S. M.
Wolfe
, and S. J.
Wukitch
, Nucl. Fusion
44
, 379
(2004
).14.
L. -G.
Eriksson
, T.
Hellsten
, M. F. F.
Nave
, J.
Brzozowski
, K.
Holmström
, T.
Johnson
, J.
Ongena
, K. -D.
Zastrow
, and JET-EFDA Contributors
, Plasma Phys. Controlled Fusion
51
, 044008
(2009
).15.
J. -M.
Noterdaeme
, E.
Right
, V.
Chan
, J.
deGrassie
, K.
Kirov
, M.
Mantsinen
, M. F. F.
Nave
, D.
Testa
, K. -D.
Zastrow
, R.
Budny
, R.
Cesario
, A.
Gondhalekar
, N.
Hawkes
, T.
Hellsten
, Ph.
Lamalle
, F.
Meo
, F.
Nguyen
, and EFDA-JET-EFDA Contributors
, Nucl. Fusion
43
, 274
(2003
).© 2009 American Institute of Physics.
2009
American Institute of Physics
You do not currently have access to this content.