It is typically assumed that the kinetic and magnetic helicities play a crucial role in the growth of large-scale dynamo. In this paper, we demonstrate that helicity is not essential for the amplification of large-scale magnetic field. For this purpose, we perform nonhelical magnetohydrodynamic (MHD) simulation, and show that the large-scale magnetic field can grow in nonhelical MHD when random external forcing is employed at scale 1/10 the box size. The energy fluxes and shell-to-shell transfer rates computed using the numerical data show that the large-scale magnetic energy grows due to the energy transfers from the velocity field at the forcing scales.
References
1.
H. K.
Moffatt
, Magnetic Field Generation in Electrically Conducting Fluids
(Cambridge University Press
, Cambridge
, 1978
).2.
S. I.
Vainshtein
and Y. B.
Zel'dovich
, Sov. Phys. Usp.
15
, 159
(1972
).3.
S.
Childress
and A. D.
Gilbert
, Stretch, Twist, Fold: The Fast Dynamo
(Springer-Verlag
, Berlin
, 1995
).4.
F.
Cattaneo
, D. W.
Hughes
, and J.
Thelen
, J. Fluid Mech.
456
, 219
(2002
).5.
A.
Brandenburg
, Astrophys. J.
550
, 824
(2001
).6.
A.
Brandenburg
, Astrophys. J.
697
, 1206
(2009
).7.
K.
Subramanian
and A.
Brandenburg
, Mon. Not. R. Astron. Soc.
445
, 2930
(2014
).8.
A. A.
Schekochihin
, S. C.
Cowley
, S. F.
Taylor
, J. L.
Maron
, and J. C.
McWilliams
, Astrophys. J.
612
, 276
(2004
).9.
A. A.
Schekochihin
, S. C.
Cowley
, S. F.
Taylor
, G. W.
Hammett
, J. L.
Maron
, and J. C.
Mcwilliamss
, Phys. Rev. Lett.
92
, 084504
(2004
).10.
R.
Kumar
, M. K.
Verma
, and R.
Samtaney
, Europhys. Lett.
104
, 54001
(2013
).11.
G.
Glatzmaier
and P.
Roberts
, Nature
377
, 203
(1995
).12.
P.
Olson
, U.
Christensen
, and G. A.
Glatzmaier
, J. Geophys. Res.
104
, 10383
, doi: (1999
).13.
A. R.
Choudhuri
, Nature's Third Cycle: A Story of Sunspots
(Oxford University Press
, Oxford
, 2015
).14.
A.
Gailitis
, O.
Lielausis
, S.
Dement'ev
, E.
Platacis
, A.
Cifersons
, G.
Gerbeth
, T.
Gundrum
, F.
Stefani
, M.
Christen
, H.
Hänel
, and G.
Will
, Phys. Rev. Lett.
84
, 4365
(2000
).15.
R.
Stieglitz
and U.
Müller
, Phys. Fluids
13
, 561
(2001
).16.
R.
Monchaux
, M.
Berhanu
, M.
Bourgoin
, M.
Moulin
, P.
Odier
, J. F.
Pinton
, R.
Volk
, S.
Fauve
, N.
Mordant
, F.
Pétrélis
, A.
Chiffaudel
, F.
Daviaud
, B.
Dubrulle
, C.
Gasquet
, L.
Marié
, and F.
Ravelet
, Phys. Rev. Lett.
98
, 044502
(2007
).17.
F.
Plunian
, R.
Stepanov
, and P.
Frick
, Phys. Rep.
523
, 1
(2013
).18.
A.
Brandenburg
, Astrophys. J.
791
(1
), 12
(2014
).19.
S.
Candelaresi
and A.
Brandenburg
, Phys. Rev. E
87
, 043104
(2013
).20.
T. A.
Yousef
, T.
Heinemann
, A. A.
Schekochihin
, N.
Kleeorin
, I.
Rogachevskii
, A. B.
Iskakov
, S. C.
Cowley
, and J. C.
McWilliams
, Phys. Rev. Lett.
100
, 184501
(2008
).21.
B. B.
Karak
, L. L.
Kitchatinov
, and A.
Brandenburg
, Astrophys. J.
803
, 95
(2015
).22.
Y.
Ponty
and F.
Plunian
, Phys. Rev. Lett.
106
, 154502
(2011
).23.
U.
Frisch
, Z. S.
She
, and P. L.
Sulem
, Physica D
28
, 382
(1987
).24.
M. K.
Verma
, Phys. Rep.
401
, 229
(2004
).25.
E.
Dormy
and A. M.
Soward
(Eds), Mathematical Aspects of Natural Dynamos
(CRC Press
, Boca Raton
, 2007
).26.
C.
Guervilly
, D. W.
Hughes
, and C. A.
Jones
, Phys. Rev. E
91
, 041001
(2015
).27.
C.
Guervilly
, D. W.
Hughes
, and C. A.
Jones
, J. Fluid Mech.
815
, 333
(2017
).28.
S. M.
Tobias
, P. H.
Diamond
, and D. W.
Hughes
, Astrophys. J. Lett.
667
, L113
(2007
).29.
K. H.
Rädler
and A.
Brandenburg
, Phys. Rev. E
77
, 026405
(2008
).30.
G.
Dar
, M. K.
Verma
, and V.
Eswaran
, Physica D
157
, 207
(2001
).31.
A.
Pouquet
, U.
Frisch
, and J.
Léorat
, J. Fluid Mech.
77
, 321
(1976
).32.
M. K.
Verma
, Pramana
61
, 707
(2003
).33.
R.
Kumar
, M. K.
Verma
, and R.
Samtaney
, J. Turbul.
16
, 1114
(2015
).34.
O.
Debliquy
, M. K.
Verma
, and D.
Carati
, Phys. Plasmas
12
, 042309
(2005
).35.
A.
Alexakis
, P.
Mininni
, and A.
Pouquet
, Phys. Rev. E
72
, 046301
(2005
).36.
R.
Moll
, J. P.
Graham
, J.
Pratt
, R. H.
Cameron
, W. C.
Müller
, and M.
Schüssler
, Astrophys. J.
736
, 36
(2011
).37.
M. K.
Verma
, A.
Chatterjee
, K. S.
Reddy
, R. K.
Yadav
, S.
Paul
, M.
Chandra
, and R.
Samtaney
, Pramana
81
, 617
(2013
).38.
D.
Carati
, S.
Ghosal
, and P.
Moin
, Phys. Fluids
7
, 606
(1995
).39.
H.
Chou
, Astrophys. J.
556
, 1038
(2001
).40.
J.
Maron
, S.
Cowley
, and J.
McWilliams
, Astrophys. J.
603
, 569
(2004
).41.
Y.
Ponty
, P. D.
Mininni
, D. C.
Montgomery
, J. F.
Pinton
, H.
Politano
, and A.
Pouquet
, Phys. Rev. Lett.
94
, 164502
(2005
).© 2017 Author(s).
2017
Author(s)
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