Sweet–Parker (collisional) magnetic reconnection at high Lundquist number is modified by secondary islands. Daughton et al. [Phys. Rev. Lett. 103, 065004 (2009)] suggested the Sweet–Parker model governs the fragmented current sheet segments. If true, the reconnection rate would increase by the square root of the number of secondary islands. High Lundquist number resistive magnetohydrodynamic simulations are presented which agree, in a time-averaged sense, with the predicted scaling. This result may have important implications for energy storage before a solar eruption and its subsequent release.
REFERENCES
1.
P. A.
Sweet
, in Electromagnetic Phenomena in Cosmical Physics
, edited by B.
Lehnert
(Cambridge University Press
, New York
, 1958
), p. 123
.2.
E. N.
Parker
, J. Geophys. Res.
62
, 509
, doi:10.1029/JZ062i004p00509 (1957
).3.
H.
Ji
, M.
Yamada
, S.
Hsu
, and R.
Kulsrud
, Phys. Rev. Lett.
80
, 3256
(1998
).4.
F.
Trintchouk
, M.
Yamada
, H.
Ji
, R. M.
Kulsrud
, and T. A.
Carter
, Phys. Plasmas
10
, 319
(2003
).5.
I.
Furno
, T. P.
Intrator
, E. W.
Hemsing
, S. C.
Hsu
, S.
Abbate
, P.
Ricci
, and G.
Lapenta
, Phys. Plasmas
12
, 055702
(2005
).6.
D.
Biskamp
, Phys. Fluids
29
, 1520
(1986
).7.
K. K.
Reeves
, T. B.
Guild
, W. J.
Hughes
, K. E.
Korreck
, J.
Lin
, J.
Raymond
, S.
Savage
, N. A.
Schwadron
, H. E.
Spence
, D. F.
Webb
, and M.
Wiltberger
, J. Geophys. Res.
113
, A00B02
, doi:10.1029/2008JA013049 (2008
).8.
J.
Lin
, S. R.
Cranmer
, and C. J.
Farrugia
, J. Geophys. Res.
113
, A11107
, doi:10.1029/2008JA013409 (2008
).9.
M. G.
Linton
and M. B.
Moldwin
, J. Geophys. Res.
114
, A00B09
, doi:10.1029/2008JA013660 (2009
).10.
W. H.
Matthaeus
and S. L.
Lamkin
, Phys. Fluids
29
, 2513
(1986
).11.
B.
Kliem
, in Coronal Magnetic Energy Releases, Lecture Notes in Physics
, edited by A. O.
Benz
and A.
Krüger
(Springer
, Berlin
, 1995
), Vol. 444
, p. 93
.12.
A.
Lazarian
and E.
Vishniac
, Astrophys. J.
517
, 700
(1999
).13.
G.
Lapenta
, Phys. Rev. Lett.
100
, 235001
(2008
).14.
Q. -L.
Fan
, X. -S.
Feng
, and C. -Q.
Xiang
, Phys. Plasmas
11
, 5605
(2004
).15.
D.
Smith
, S.
Ghosh
, P.
Dmitruk
, and W. H.
Matthaeus
, Geophys. Res. Lett.
31
, L02805
, doi:10.1029/2003GL018689 (2004
).16.
17.
G.
Kowal
, A.
Lazarian
, E. T.
Vishniac
, and K.
Otmianowska-Mazur
, Astrophys. J.
700
, 63
(2009
).18.
N. F.
Loureiro
, D. A.
Uzdensky
, A. A.
Schekochihin
, S. C.
Cowley
, and T. A.
Yousef
, Mon. Not. R. Astron. Soc.
399
, L146
(2009
).19.
A.
Bhattacharjee
, Y. -M.
Huang
, H.
Yang
, and B.
Rogers
, Phys. Plasmas
16
, 112102
(2009
).20.
D.
Biskamp
, E.
Schwarz
, and J. F.
Drake
, Phys. Rev. Lett.
75
, 3850
(1995
).21.
Z. W.
Ma
and A.
Bhattacharjee
, Geophys. Res. Lett.
23
, 1673
, doi:10.1029/96GL01600 (1996
).22.
23.
A.
Bhattacharjee
, Annu. Rev. Astron. Astrophys.
42
, 365
(2004
).24.
P. A.
Cassak
, M. A.
Shay
, and J. F.
Drake
, Phys. Rev. Lett.
95
, 235002
(2005
).25.
P. A.
Cassak
, J. F.
Drake
, and M. A.
Shay
, Astrophys. J.
644
, L145
(2006
).26.
D. A.
Uzdensky
, Astrophys. J.
671
, 2139
(2007
).27.
P. A.
Cassak
, D. J.
Mullan
, and M. A.
Shay
, Astrophys. J. Lett.
676
, L69
(2008
).28.
P. A.
Cassak
and J. F.
Drake
, Astrophys. J. Lett.
707
, L158
(2009
).29.
W.
Daughton
, V.
Roytershteyn
, B. J.
Albright
, H.
Karimabadi
, L.
Yin
, and K. J.
Bowers
, Phys. Rev. Lett.
103
, 065004
(2009
).30.
M. A.
Shay
, J. F.
Drake
, M.
Swisdak
, and B. N.
Rogers
, Phys. Plasmas
11
, 2199
(2004
).31.
W.
Daughton
, V.
Roytershteyn
, B. J.
Albright
, H.
Karimabadi
, L.
Yin
, and K. J.
Bowers
, Phys. Plasmas
16
, 072117
(2009
).32.
N. F.
Loureiro
, A. A.
Schekochihin
, and S. C.
Cowley
, Phys. Plasmas
14
, 100703
(2007
).33.
R.
Samtaney
, N. F.
Loureiro
, D. A.
Uzdensky
, A. A.
Schekochihin
, and S. C.
Cowley
, Phys. Rev. Lett.
103
, 105004
(2009
).34.
Y. E.
Litvinenko
, Astrophys. J.
515
, 435
(1999
).35.
J.
Chae
, Y. -J.
Moon
, and S. -Y.
Park
, J. Korean Astron. Soc.
36
, S13
(2003
).36.
Y. E.
Litvinenko
and J.
Chae
, Astron. Astrophys.
495
, 953
(2009
).37.
W.
Park
, D. A.
Monticello
, and R. B.
White
, Phys. Fluids
27
, 137
(1984
).38.
R.
Fermo
, J. F.
Drake
, and M.
Swisdak
, “A statistical model of magnetic islands in a current layer
,” Phys. Plasmas (submitted).© 2009 American Institute of Physics.
2009
American Institute of Physics
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