Quasi-symmetric configurations have a better neoclassical confinement compared to that of standard stellarators. The reduction of the neoclassical viscosity along the direction of quasi-symmetry should facilitate the self-generation of zonal flows and, consequently, the mitigation of turbulent fluctuations and the ensuing radial transport. Therefore, it is expected that quasi-symmetries should also result in better confinement properties regarding radial turbulent transport. In this paper we show that, at least for quasi-poloidal configurations, the influence of quasi-symmetry on radial transport exceeds the expected reduction of fluctuation levels and associated effective transport coefficients, and that the intimate nature of transport itself is affected. In particular, radial turbulent transport becomes increasingly subdiffusive as the degree of quasi-symmetry becomes larger. This behavior is somewhat reminiscent of what has been previously reported in tokamaks with strong radially sheared zonal flows.

1.
A. H.
Boozer
,
Rev. Mod. Phys.
76
,
1071
(
2005
).
2.
3.
A. H.
Boozer
,
Phys. Fluids
25
,
520
(
1982
).
4.
R. B.
White
,
A. H.
Boozer
, and
R.
Hay
,
Phys. Fluids
25
,
575
(
1982
).
5.
D. A.
Spong
,
S. P.
Hirshman
,
L. A.
Berry
,
J. F.
Lyon
,
R. H.
Fowler
,
D. J.
Strickler
,
M. J.
Cole
,
B. E.
Nelson
,
D. E.
Williamson
,
A. S.
Ware
,
D.
Alban
,
R.
Sanchez
,
G. Y.
Fu
,
D. A.
Monticello
,
W. H.
Miner
, and
P. M.
Valanju
,
Nucl. Fusion
41
,
711
716
(
2001
).
6.
M. C.
Zarnstorff
,
L. A.
Berry
,
A.
Brooks
,
E.
Fredrickson
,
G.-Y.
Fu
,
S.
Hirshman
,
S.
Hudson
,
L.-P.
Ku
,
E.
Lazarus
,
D.
Mikkelsen
,
D.
Monticello
,
G. H.
Neilson
,
N.
Pomphrey
,
A.
Reiman
,
D.
Spong
,
D.
Strickler
,
A.
Boozer
,
W. A.
Cooper
,
R.
Goldston
,
R.
Hatcher
,
M.
Isaev
,
C.
Kessel
,
J.
Lewandowski
,
J. F.
Lyon
,
P.
Merkel
,
H.
Mynick
,
B. E.
Nelson
,
C.
Nuehrenberg
,
M.
Redi
,
W.
Reiersen
,
P.
Rutherford
,
R.
Sanchez
,
J.
Schmidt
, and
R. B.
White
,
Plasma Phys. Controlled Fusion
43
,
A237
A249
(
2001
).
7.
F. S. B.
Anderson
,
A. F.
Almagri
,
D. T.
Anderson
,
P. G.
Mathews
,
J. N.
Talmadge
, and
J. L.
Shohet
,
Fusion Technol.
27
,
273
(
1995
).
8.
J. M.
Canik
,
D. T.
Anderson
,
F. S. B.
Anderson
,
K. M.
Likin
,
J. N.
Talmadge
, and
K.
Zhai
,
Phys. Rev. Lett.
98
,
085002
(
2007
).
9.
S. P.
Gerhardt
,
J. N.
Talmadge
,
J. M.
Canik
, and
D. T.
Anderson
,
Phys. Rev. Lett.
94
,
015002
(
2005
).
10.
P. W.
Terry
,
Rev. Mod. Phys.
72
,
109
(
2000
).
11.
W.
Guttenfelder
,
J.
Lore
,
D. T.
Anderson
,
F. S. B.
Anderson
,
J. M.
Canik
,
W.
Dorland
,
K. M.
Likin
, and
J. N.
Talmadge
,
Phys. Rev. Lett.
101
,
215002
(
2008
).
12.
H. E.
Mynick
,
N.
Pomphrey
, and
P.
Xanthopoulos
,
Phys. Rev. Lett.
105
,
095004
(
2010
).
13.
R.
Sanchez
,
D. E.
Newman
,
J. N.
Leboeuf
,
V. K.
Decyk
, and
B. A.
Carreras
,
Phys. Rev. Lett.
101
,
205002
(
2008
).
14.
R.
Sanchez
,
D. E.
Newman
,
J. N.
Leboeuf
,
B. A.
Carreras
, and
V. K.
Decyk
,
Phys. Plasmas
16
,
055905
(
2009
).
15.
R.
Sanchez
,
D. E.
Newman
,
J. N.
Leboeuf
, and
V. K.
Decyk
,
Plasma Phys. Controlled Fusion
53
,
074018
(
2011
).
16.
R.
Sanchez
and
D. E.
Newman
,
Plasma Phys. Controlled Fusion
57
,
123002
(
2015
).
17.
B. A.
Carreras
,
V. E.
Lynch
, and
G. M.
Zaslavski
,
Phys. Plasmas
8
,
5096
(
2001
).
18.
B. Ph.
Milligen
,
R.
Sanchez
, and
B. A.
Carreras
,
Phys. Plasmas
11
,
2272
(
2004
).
19.
D.
del-Castillo-Negrete
,
B. A.
Carreras
, and
V. E.
Lynch
,
Phys. Rev. Lett.
94
,
065003
(
2005
).
20.
J. A.
Mier
,
R.
Sanchez
,
L.
Garcia
,
B. A.
Carreras
, and
D. E.
Newman
,
Phys. Rev. Lett.
101
,
165001
(
2008
).
21.
F.
Jenko
,
W.
Dorland
,
M.
Kotschenreuther
, and
B. N.
Rogers
,
Phys. Plasmas
7
,
1904
(
2000
).
22.
T.
Görler
,
X.
Lapillonne
,
S.
Brunner
,
T.
Dannert
,
F.
Jenko
,
F.
Merz
, and
D.
Told
,
J. Comput. Phys.
230
,
7053
(
2011
).
23.
P.
Xanthopoulos
,
H. E.
Mynick
,
P.
Helander
,
Y.
Turkin
,
G. G.
Plunk
,
F.
Jenko
,
T.
Görler
,
D.
Told
,
T.
Bird
, and
J. H. E.
Proll
,
Phys. Rev. Lett.
113
,
155001
(
2014
).
24.
P.
Xanthopoulos
,
G. G.
Plunk
,
A.
Zocco
, and
P.
Helander
,
Phys. Rev. X
6
,
021033
(
2016
).
25.
A. J.
Brizard
and
T. S.
Hahm
,
Rev. Mod. Phys.
79
,
421
(
2007
).
26.
P.
Xanthopoulos
,
W. A.
Cooper
,
F.
Jenko
,
Y.
Turkin
,
A.
Runov
, and
J.
Geiger
,
Phys. Plasmas
16
,
082303
(
2009
).
27.
T.
Hauff
and
F.
Jenko
,
Phys. Plasmas
13
,
102309
(
2006
).
28.
G.
Samorodnitsky
and
M. S.
Taqqu
,
Stable Non-Gaussian Processes
(
Chapman and Hall
,
New York
,
1994
).
29.
N.
Laskin
,
I.
Lambadaris
,
F. C.
Harmantzis
, and
M.
Devetsikiotis
,
Comput. Networks
40
,
363
375
(
2002
).
30.
B. B.
Mandelbrot
and
J. W.
van Ness
,
SIAM Rev.
10
,
422
437
(
1968
).
31.
R.
Sanchez
,
B. A.
Carreras
,
D. E.
Newman
,
V.
Lynch
, and
B. Ph.
van Milligen
,
Phys. Rev. E
74
,
016305
(
2006
).
32.
I.
Calvo
and
R.
Sanchez
,
J. Phys. A: Math. Theor.
42
,
055003
(
2009
).
33.
H. E.
Hurst
,
Trans. Am. Soc. Civ. Eng.
116
,
770
(
1951
).
34.
R. D.
Sydora
,
V. K.
Decyk
, and
J. M.
Dawson
,
Plasma Phys. Controlled Fusion
38
,
A281
(
1996
).
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