We describe a new class of magnetic confinement device, with the magnetic axis in the shape of a knot. We call such devices “knotatrons.” An example is given that has a large volume filled with magnetic surfaces, with significant rotational-transform, and with the magnetic field produced entirely by external circular coils.
REFERENCES
1.
K.
Tomabechi
, J. R.
Gilleland
, Y. A.
Sokolov
, R.
Toschi
, and ITER team, Nucl. Fusion
31
, 1135
(1991
).2.
C.
Beidler
, G.
Grieger
, F.
Herrnegger
, E.
Harmeyer
, J.
Kisslinger
, W.
Lotz
, H.
Maassberg
, P.
Merkel
, J.
Nuhrenberg
, F.
Rau
et al., Fusion Technol.
17
, 148
(1990
).3.
J.
Milnor
, Am. Math. Mon.
85
, 521
(1978
).4.
J. R.
Cary
and R. G.
Littlejohn
, Ann. Phys.
151
, 1
(1983
).5.
R. G.
Littlejohn
, Phys. Fluids
24
, 1730
(1981
).6.
C.
Mercier
, Nucl. Fusion
4
, 213
(1964
).7.
H.
Boozer
, Rev. Mod. Phys.
76
, 1071
(2005
).8.
B.
Blackwell
, Phys. Plasmas
8
, 2238
(2001
).9.
L.
Spitzer
, Phys. Fluids
1
, 253
(1958
).10.
J. F.
Lyon
, B. A.
Carreras
, K. K.
Chipley
, M. J.
Cole
, J. H.
Harris
, T. C.
Jernigan
, R. L.
Johnson
, V. E.
Lynch
, B. E.
Nelson
, J. A.
Rome
et al., Fusion Technol.
10
, 179
(1986
).11.
A.
Iiyoshi
, M.
Fujiwara
, O.
Motojima
, N.
Ohyabu
, and K.
Yamazaki
, Fusion Technol.
17
, 169
(1990
).12.
B. D.
Blackwell
, S. M.
Hamberger
, X. H.
Sharp
, and L. E.
Shi
, Nucl. Fusion
25
, 1485
(1985
).13.
H. P.
Furth
, P. H.
Rutherford
, and H.
Selberg
, Phys. Fluids
16
, 1054
(1973
).14.
P.
Helander
, C. D.
Beidler
, T. M.
Bird
, M.
Drevlak
, Y.
Feng
, R.
Hatzky
, F.
Jenko
, R.
Kleiber
, J. H. E.
Proll
, Y.
Turkin
et al., Plasma Phys. Controlled Fusion
54
, 124009
(2012
).15.
J. D.
Hanson
and J. R.
Cary
, Phys. Fluids
27
, 767
(1984
).16.
S. R.
Hudson
, D. A.
Monticello
, A. H.
Reiman
, A. H.
Boozer
, D. J.
Strickler
, S. P.
Hirshman
, and M. C.
Zarnstorff
, Phys. Rev. Lett.
89
, 275003
(2002
).17.
H.
Mynick
, Phys. Plasmas
13
, 058102
(2006
).18.
19.
W. B. R.
Lickorish
, An Introduction to Knot Theory
(Springer
, New York
, 1997
).20.
R. A.
Harris
and J. E.
Hearst
, J. Chem. Phys.
44
, 2595
(1966
).21.
E.
Witten
, Commun. Math. Phys.
121
, 351
(1989
).22.
J.
Milnor
, Ann. Math.
52
, 248
(1950
).23.
M. G. V.
Bogle
, J. E.
Hearst
, V. F. R.
Jones
, and L.
Stoilov
, J. Knot Theory Ramifications
3
, 121
(1994
).24.
M. A.
Berger
and G. B.
Field
, J. Fluid Mech.
147
, 133
(1984
).25.
M. A.
Berger
, Plasma Phys. Controlled Fusion
41
, B167
(1999
).26.
J. B.
Taylor
, Phys. Rev. Lett.
33
, 1139
(1974
).27.
G. R.
Dennis
, S. R.
Hudson
, D.
Terranova
, P.
Franz
, R. L.
Dewar
, and M. J.
Hole
, Phys. Rev. Lett.
111
, 055003
(2013
).28.
R.
Lorenzini
, E.
Martines
, P.
Piovesan
, D.
Terranova
, P.
Zanca
, M.
Zuin
, A.
Alfier
, D.
Bonfiglio
, F.
Bonomo
, A.
Canton
et al., Nat. Phys.
5
, 570
(2009
).29.
H.
Qin
, W.
Liu
, H.
Li
, and J.
Squire
, Phys. Rev. Lett.
109
, 235001
(2012
).30.
J.
Chen
and H.
Fan
, Phys. Rev. Lett.
110
, 269501
(2013
).31.
H.
Qin
, W.
Liu
, H.
Li
, and J.
Squire
, Phys. Rev. Lett.
110
, 269502
(2013
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
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