A three-wave interaction model with quadratic nonlinearities and linear growth/decay rates is used to investigate the occurrence of drift-wave turbulence driven by pressure gradients in the edge plasma of a tokamak. Model parameters are taken from a typical set of measurements of the floating electrostatic potential in the tokamak edge region. Some aspects of the temporal dynamics exhibited by the three-wave interaction model are investigated, with special emphasis on a chaotic regime found for a wide range of the wave decay rate. An intermittent transition from periodic to chaotic behavior is observed and some statistical properties, such as the interburst and laminar length interval durations, are explored.

1.
R. D.
Hazeltine
and
J. D.
Meiss
,
Plasma Confinement
(
Addison-Wesley
,
Reading, MA
,
1992
).
2.
R.
Balescu
,
Transport Processes in Plasmas: Classical Transport Theory
(
North-Holland
,
Amsterdam
,
1988
).
3.
S. J.
Camargo
,
B. D.
Scott
, and
D.
Biskamp
,
Phys. Plasmas
3
,
3912
(
1996
);
S. J.
Camargo
,
M. K.
Tippett
, and
I. L.
Caldas
,
Phys. Plasmas
7
,
2849
(
2000
).
4.
A. J.
Wootton
,
S. C.
McCool
, and
S.
Zheng
,
Fusion Technol.
19
,
973
(
1991
);
F.
Wagner
and
U.
Stroh
,
Plasma Phys. Controlled Fusion
35
,
1321
(
1993
).
5.
C. W.
Horton
,
Rev. Mod. Phys.
71
,
735
(
1999
).
6.
Ch. P.
Ritz
,
E. J.
Powers
,
T. L.
Rhodes
,
R. D.
Bengtson
,
K. W.
Gentle
,
H.
Lin
,
P. E.
Phillips
,
A. J.
Wootton
,
D. L.
Brower
,
N. C.
Luhman
 Jr.
,
W. A.
Peebles
,
P. M.
Schoch
, and
K. L.
Hickok
,
Rev. Sci. Instrum.
59
,
1739
(
1988
).
7.
J. S.
Kim
,
R. J.
Fouck
,
R. D.
Durst
,
E.
Fernandez
,
P. W.
Terry
,
S. F.
Paul
, and
M. C.
Zarnstortt
,
Phys. Rev. Lett.
79
,
841
(
1997
).
8.
A.
Hasegawa
and
K.
Mima
,
Phys. Rev. Lett.
39
,
205
(
1977
);
A.
Hasegawa
and
K.
Mima
,
Phys. Fluids
21
,
81
(
1978
).
9.
W.
Horton
and
A.
Hasegawa
,
Chaos
4
,
227
(
1994
).
10.
J. M.
Wersinger
,
J. M.
Finn
, and
E.
Ott
,
Phys. Rev. Lett.
44
,
453
(
1980
);
J. M.
Wersinger
,
J. M.
Finn
, and
E.
Ott
,
Phys. Fluids
23
,
1142
(
1980
).
11.
A. C.-L.
Chian
,
S. R.
Lopes
, and
M. V.
Alves
,
Astron. Astrophys.
290
,
L13
(
1994
);
A. C.-L.
Chian
and
J. R.
Abalde
,
Astron. Astrophys.
298
,
L9
(
1995
);
S. R.
Lopes
and
A. C.-L.
Chian
,
Phys. Rev. E
54
,
170
(
1996
).
12.
I. L.
Caldas
,
R. L.
Viana
,
A.
Vannucci
,
E. C.
da Silva
,
M. S. T.
Araujo
,
K.
Ullmann
,
M. V. A. P.
Heller
, and
M. Y.
Kucinski
,
Braz. J. Phys.
32
,
980
(
2002
).
13.
U.
Frisch
,
Turbulence
(
Cambridge University Press
,
Cambridge, England
,
1995
).
14.
E.
Ott
,
Chaos in Dynamical Systems
(
Cambridge University Press
,
Cambridge, England
,
1993
).
15.
A.
Hasegawa
,
T.
Imamura
,
K.
Mima
, and
T. J.
Taniuti
,
J. Phys. Soc. Jpn.
45
,
1005
(
1978
).
16.
K.
Katou
,
J. Phys. Soc. Jpn.
51
,
996
(
1982
).
17.
G. I.
de Oliveira
,
F. B.
Rizzato
, and
L. P. L.
de Oliveira
,
Physica D
104
,
119
(
1997
);
R.
Erichsen
,
L. G.
Brunnet
, and
F. B.
Rizzato
,
Phys. Rev. E
60
,
6566
(
1999
).
19.
P.
Terry
and
W.
Horton
,
Phys. Fluids
26
,
106
(
1983
);
P.
Terry
and
W.
Horton
,
Phys. Fluids
25
,
491
(
1982
).
20.
I. C.
Nascimento
,
I. L.
Caldas
, and
R. M. O.
Galvão
,
J. Fusion Energy
12
,
529
(
1993
).
21.
M. V. A. P.
Heller
,
R. M.
Castro
,
I. L.
Caldas
,
Z. A.
Brasilio
,
R. P.
Silva
, and
I. C.
Nascimento
,
J. Phys. Soc. Jpn.
66
,
3453
(
1997
).
22.
M. V. A. P.
Heller
,
Z. A.
Brasilio
,
I. L.
Caldas
,
J.
Stöckel
, and
J.
Petrzilka
,
Phys. Plasmas
6
,
846
(
1999
).
23.
E.
Mazzucatto
,
Phys. Fluids
21
,
1062
(
1978
).
24.
D. L.
Brower
,
W. A.
Peebles
, and
N. C.
Luhmann
,
Phys. Rev. Lett.
54
,
689
(
1985
).
25.
R. M.
Castro
,
M. V. A. P.
Heller
,
I. L.
Caldas
,
R. P.
da Silva
,
Z. A.
Brasilio
, and
I. C.
Nascimento
,
Phys. Plasmas
3
,
971
(
1996
).
26.
A. C.
Hindmarch
, in
Scientific Computing
, edited by
R. S.
Stepleman
 et al. (
North-Holland
,
Amsterdam
,
1983
), p.
55
;
L. R.
Petzold
,
SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput.
4
,
136
(
1983
).
27.
Y.
Pomeau
and
P.
Manneville
,
Commun. Math. Phys.
74
,
189
(
1980
).
28.
C.
Meunier
,
M. N.
Bussac
, and
G.
Laval
,
Physica D
4
,
236
(
1982
).
You do not currently have access to this content.