Particle transport in a toroidal plasma confinement device is shown to be nondiffusive when magnetic chaos is present. A phenomenological fit to density profiles gives a diffusion constant and also a pinch velocity directed up the density gradient. We show that the combination of diffusion and pinch is actually an expression of the nonlocal, subdiffusive nature of the transport. The effect is illustrated by numerical modelling of the magnetic structure and associated particle transport in conditions relevant for the reversed-field pinch experiment at the Consorzio RFX, Padova, Italy [G. Rostagni, Fusion Eng. Des.25, 301 (1995)]. The relevance of this result is quite general, and could be applied also to other systems with chaos induced particle transport, such as electron transport in the tokamak.

1.
B.
Coppi
and
N.
Sharky
,
Nucl. Fusion
21
,
1363
(
1981
).
2.
C.
Angioni
,
A.
Peeters
,
G.
Pereverzev
,
F.
Ryter
,
G.
Tardini
, and
ASDEX Upgrade Team
,
Phys. Rev. Lett.
90
,
205003
(
2003
).
3.
R. W.
Harvey
,
O.
Sauter
,
R.
Prater
, and
P.
Nikkola
,
Phys. Rev. Lett.
88
,
205001
(
2002
).
4.
R.
Lorenzini
,
F.
Auriemma
,
A.
Canton
, and
L.
Carraro
,
Phys. Plasmas
13
,
112510
(
2006
).
5.
L.
Carraro
,
S.
Costa
,
M. E.
Puiatti
,
F.
Sattin
,
P.
Scarin
, and
M.
Valisa
,
Plasma Phys. Controlled Fusion
42
,
731
(
2000
).
6.
R.
O’Connell
,
D. J.
Den Hartog
,
C. B.
Forest
,
J. K.
Anderson
,
T. M.
Biewer
,
B. E.
Chapman
,
D.
Craig
,
G.
Fiksel
,
S. C.
Prager
,
J. S.
Sarff
, and
S. D.
Terry
,
Phys. Rev. Lett.
91
,
045002
(
2003
).
7.
D.
Gregoratto
,
L.
Garzotti
,
P.
Innocente
,
S.
Martini
, and
A.
Canton
,
Nucl. Fusion
38
,
1199
(
1998
).
8.
B.
Coppi
and
C.
Spight
,
Phys. Rev. Lett.
41
,
551
(
1978
).
9.
S. I.
Braginskii
, in
Reviews of Plasma Physics
(
Consultants Bureau
,
New York
,
1965
), Vol.
1
, p.
227
.
10.
M. B.
Isichenko
,
A. V.
Gruzinov
, and
P. H.
Diamond
,
Phys. Rev. Lett.
74
,
4436
(
1995
).
11.
F.
D’Angelo
and
R.
Paccagnella
,
Phys. Plasmas
3
,
2353
(
1996
).
12.
A.
Canton
,
Y.
Hirano
,
P.
Innocente
,
H.
Koguchi
, and
R.
Lorenzini
,
Plasma Phys. Controlled Fusion
46
,
23
(
2004
).
13.
S.
Cappello
,
Plasma Phys. Controlled Fusion
46
,
B313
(
2004
);
S.
Cappello
,
D.
Bonfiglio
, and
D. F.
Escande
,
Phys. Plasmas
13
,
056102
(
2006
).
14.
G.
Spizzo
,
S.
Cappello
,
A.
Cravotta
,
D. F.
Escande
,
I.
Predebon
,
L.
Marrelli
,
P.
Martin
, and
R. B.
White
,
Phys. Rev. Lett.
96
,
025001
(
2006
).
15.
A. B.
Rechester
and
M. N.
Rosenbluth
,
Phys. Rev. Lett.
40
,
38
(
1978
).
16.
R. W.
Harvey
,
M. G.
McCoy
,
J. Y.
Hsu
, and
A. A.
Mirin
,
Phys. Rev. Lett.
47
,
102
(
1981
).
17.
F.
D’Angelo
and
R.
Paccagnella
,
Plasma Phys. Controlled Fusion
41
,
941
(
1999
).
18.
F.
Sattin
,
R.
Paccagnella
, and
F.
D’Angelo
,
Physica A
358
,
273
(
2005
).
19.
D.
Terranova
, Ph.D. thesis,
University of Padova, Italy
(
2000
).
20.
R. B.
White
,
The Theory of Toroidally Confined Plasmas
, 2nd ed. (
Imperial College Press
,
Covent Garden, United Kingdom
,
2006
).
21.
A. H.
Boozer
and
G.
Kuo-Petravic
,
Phys. Fluids
24
,
851
(
1981
).
22.
S.
Cappello
and
D.
Biskamp
,
Nucl. Fusion
36
,
571
(
1996
).
23.
G.
Rostagni
,
Fusion Eng. Des.
25
,
301
(
1995
).
24.
D.
Terranova
,
T.
Bolzonella
,
S.
Cappello
,
P.
Innocente
,
L.
Marrelli
, and
R.
Pasqualotto
,
Plasma Phys. Controlled Fusion
42
,
843
(
2000
).
25.
D. F.
Escande
,
R.
Paccagnella
,
S.
Cappello
,
F.
D’Angelo
, and
C.
Marchetto
,
Phys. Rev. Lett.
85
,
3169
(
2000
).
26.
P.
Martin
,
L.
Marrelli
,
A.
Alfier
,
F.
Bonomo
,
D. F.
Escande
,
P.
Franz
,
L.
Frassinetti
,
M.
Gobbin
,
R.
Pasqualotto
,
P.
Piovesan
,
D.
Terranova
, and the
RFX-mod team
,
Plasma Phys. Controlled Fusion
49
,
A177
(
2007
).
27.
R.
Sánchez
,
B. Ph.
Van Milligen
, and
B. A.
Carreras
,
Phys. Plasmas
12
,
056105
(
2005
).
28.
B. Ph.
Van Milligen
,
B. A.
Carreras
, and
R.
Sánchez
,
Plasma Phys. Controlled Fusion
47
,
B743
(
2005
).
29.
D.
Del Castillo-Negrete
,
B. A.
Carreras
, and
V. E.
Linch
,
Phys. Rev. Lett.
91
,
018302
(
2003
).
30.
T.
Geisel
and
S.
Thomae
,
Phys. Rev. Lett.
52
,
1936
(
1984
).
31.
R. B.
White
,
S.
Benkadda
,
S.
Kassibrakis
, and
G. M.
Zaslavsky
,
Chaos
8
,
757
(
1998
).
32.
Y.
Wu
and
R. B.
White
,
Phys. Fluids B
5
,
3291
(
1993
).
33.
B. Ph.
Van Milligen
,
R.
Sánchez
, and
B. A.
Carreras
,
Phys. Plasmas
11
,
2272
(
2004
).
34.
G. M.
Zaslavsky
,
Phys. Rep.
371
,
461
(
2002
).
35.
R. B.
White
and
Y.
Wu
,
Plasma Phys. Controlled Fusion
35
,
595
(
1993
).
36.
A. J.
Lichtenberg
and
M. A.
Lieberman
,
Regular and Chaotic Dynamics
, 2nd ed. (
Springer-Verlag
,
New York
,
1992
), p.
325
.
You do not currently have access to this content.