The linear properties of an electromagnetic drift-wave model are examined. The linear system is non-normal in that its eigenvectors are not orthogonal with respect to the energy inner product. The non-normality of the linear evolution operator can lead to enhanced finite-time growth rates compared to modal growth rates. Previous work with an electrostatic drift-wave model found that nonmodal behavior is important in the hydrodynamic limit. Here, similar behavior is seen in the hydrodynamic regime even with the addition of magnetic fluctuations. However, unlike the results for the electrostatic drift-wave model, nonmodal behavior is also important in the adiabatic regime with moderate to strong magnetic fluctuations.
REFERENCES
1.
2.
A. J.
Wootton
, B. A.
Carreras
, H.
Matsumoto
, K.
McGuire
, W. A.
Peebles
, Ch. P.
Ritz
, P. W.
Terry
, and S. J.
Zweben
, Phys. Fluids B
2
, 2879
(1990
).3.
4.
5.
6.
F.
Wagner
, G.
Becker
, K.
Behringer
, D.
Campbell
, A.
Eberhagen
, W.
Engelhardt
, G.
Fussmann
, O.
Gehre
, J.
Gernhardt
, G. V.
Gierke
, G.
Haas
, M.
Huang
, F.
Karger
, M.
Keilhacker
, O.
Klueber
, M.
Kornherr
, K.
Lackner
, G.
Lisitano
, G. G.
Lister
, H. M.
Mayer
, D.
Meisel
, E. R.
Mueller
, H.
Murmann
, H.
Niedermeyer
, W.
Poschenrieder
, H.
Rapp
, H.
Roehr
, F.
Schneider
, G.
Siller
, E.
Speth
, A.
Staebler
, K. H.
Steuer
, G.
Venus
, O.
Vollner
, and Z.
Yue
, Phys. Rev. Lett.
49
, 1408
(1982
).7.
8.
R. D.
Durst
, R. J.
Fonck
, J. S.
Kim
, S. F.
Paul
, N.
Bretz
, C.
Bush
, Z.
Chang
, and R.
Hulse
, Phys. Rev. Lett.
71
, 3135
(1993
).9.
10.
11.
12.
A.
Zeiler
, D.
Biskamp
, J. F.
Drake
, and P. N.
Guzdar
, Phys. Plasmas
3
, 2951
(1996
).13.
O.
Pogutse
and Yu.
Igitkhanov
, Proceedings of the Edge-Plasma Theory and Simulation Workshop, Innsbruck, Austria, 1998,
[Czech. J. Phys.
48/S2
, 39
(1998
)].14.
S. J.
Camargo
, B. D.
Scott
, and D.
Biskamp
, Phys. Plasmas
3
, 3912
(1996
).15.
L. N.
Trefethen
, A. E.
Trefethen
, S. C.
Reddy
, and T. A.
Driscoll
, Science
261
, 578
(1993
).16.
17.
J. S.
Baggett
, T. A.
Driscoll
, and L. N.
Trefethen
, Phys. Fluids
7
, 833
(1995
).18.
19.
20.
J. A.
Krommes
, Proceedings of the 1998 International Congress on Plasma Physics combined with the 25th European Physical Society Conference on Controlled Fusion and Plasma Physics, Prague, Czech Republic, 1998
[Plasma Phys. Controlled Fusion
41/S3
, A641
(1999
)].21.
22.
J. F.
Drake
, A.
Zeiler
, and D.
Biskamp
, Phys. Rev. Lett.
75
, 4222
(1995
).23.
S. J.
Camargo
, M. K.
Tippett
, and I. L.
Caldas
, Proceedings of the Edge- Plasma Theory and Simulation Workshop, Innsbruck, Austria, 1998
[Czech. J. Phys.
48/S2
, 189
(1998
)].24.
M. K. Tippett, S. J. Camargo, and I. L. Caldas, Topics in Theoretical Physics, Festschrift for Abraham H. Zimerman, Vol. II, edited by H. Aratyn, L. A. Ferreira, and J. F. Gomes (Instituto de Fı́sica Teórica, São Paulo, Brazil, 1998), p. 47.
25.
26.
27.
S. J.
Camargo
, M. K.
Tippett
, and I. L.
Caldas
, Phys. Rev. E
58
, 3693
(1998
).28.
29.
J. F.
Drake
, T. M.
Antonsen
, Jr., A. B.
Hassam
, and N. T.
Glad
, Phys. Fluids
26
, 2509
(1983
).30.
31.
S. J.
Camargo
, D.
Biskamp
, and B. D.
Scott
, Phys. Plasmas
2
, 48
(1995
).32.
D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, 1993), p. 17.
33.
D.
Biskamp
, S. J.
Camargo
, and B. D.
Scott
, Phys. Lett. A
186
, 239
(1994
).34.
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