Abstract
We discuss recent observational, theoretical and numerical progress made in understanding the solar global magnetism and its short and long term variability. We discuss the physical process thought to be at the origin of the solar magnetic field and its 22-yr cycle, namely dynamo action, and the nonlinear interplay between convection, rotation, radiation and magnetic field, yielding modulations of the solar constant or of the large scale flows such as the torsional oscillations. We also discuss the role of the field parity and dynamo families in explaining the complex multipolar structure of the solar global magnetic field. We then present some key MHD processes acting in the deep radiative interior and discuss the probable topology of a primordial field there. Finally we summarize how helioseismology has contributed to these recent advances and how it could contribute to resolving current unsolved problems in solar global dynamics and magnetism.
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J.A. Abreu, J. Beer, F. Steinhilber, S.M. Tobias, N.O. Weiss, For how long will the current grand maximum of solar activity persist? Geophys. Res. Lett. 35, 20109 (2008). doi:10.1029/2008GL035442
L.A. Acevedo-Arreguin, P. Garaud, T.S. Wood, Dynamics of the solar tachocline—III. Numerical solutions of the Gough and McIntyre model. Mon. Not. R. Astron. Soc. 434, 720–741 (2013). doi:10.1093/mnras/stt1065
D. Acheson, Instability by magnetic buoyancy. Sol. Phys. 62, 23–235050 (1978)
M. Asplund, N. Grevesse, A.J. Sauval, C. Allende Prieto, D. Kiselman, Line formation in solar granulation. IV. [O I], O I and OH lines and the photospheric O abundance. Astron. Astrophys. 417, 751–768 (2004). doi:10.1051/0004-6361:20034328
H.D. Babcock, The Sun’s polar magnetic field. Astrophys. J. 130, 364 (1959). doi:10.1086/146726
H.W. Babcock, The topology of the Sun’s magnetic field and the 22-YEAR cycle. Astrophys. J. 133, 572 (1961). doi:10.1086/147060
W.T. Ball, Y.C. Unruh, N.A. Krivova, S. Solanki, T. Wenzler, D.J. Mortlock, A.H. Jaffe, Reconstruction of total solar irradiance 1974–2009. Astron. Astrophys. 541, 27 (2012). doi:10.1051/0004-6361/201118702
S. Basu, H.M. Antia, Characteristics of solar meridional flows during solar cycle 23. Astrophys. J. 717, 488–495 (2010). doi:10.1088/0004-637X/717/1/488
P. Beaudoin, P. Charbonneau, E. Racine, P.K. Smolarkiewicz, Torsional oscillations in a global solar dynamo. Sol. Phys. 282, 335–360 (2013). doi:10.1007/s11207-012-0150-2
J.G. Beck, T.L. Duvall, P.H. Scherrer, Long-lived giant cells detected at the surface of the Sun. Nature 394, 653–655 (1998). doi:10.1038/29245
J. Beer, S. Tobias, N. Weiss, An active Sun throughout the maunder minimum. Sol. Phys. 181, 237–249 (1998)
B. Belucz, M. Dikpati, Role of asymmetric meridional circulation in producing North–South asymmetry in a solar cycle dynamo model. Astrophys. J. 777, 1–9 (2013). doi:10.1088/0004-637X/777/1
E.E. Benevolenskaya, Polar magnetic flux on the Sun in 1996–2003 from SOHO/MDI data. Astron. Astrophys. 428, 5–8 (2004). doi:10.1051/0004-6361:200400092
S.V. Berdyugina, D. Moss, D. Sokoloff, I.G. Usoskin, Active longitudes, nonaxisymmetric dynamos and phase mixing. Astron. Astrophys. 445, 703–714 (2006). doi:10.1051/0004-6361:20053454
D. Biskamp, Nonlinear magnetohydrodynamics, in Cambridge Monographs on Plasma Physics, Cambridge [England] (Cambridge University Press, New York, 1993)
C. Bolduc, P. Charbonneau, V. Dumoulin, M.S. Bourqui, A.D. Crouch, A fast model for the reconstruction of spectral solar irradiance in the near- and mid-ultraviolet. Sol. Phys. 279, 383–409 (2012). doi:10.1007/s11207-012-0019-4
A. Bonanno, V. Urpin, Rotation and stability of the toroidal magnetic field in stellar radiation zones. Astrophys. J. 766, 52 (2013). doi:10.1088/0004-637X/766/1/52
A. Bonanno, D. Elstner, G. Rüdiger, G. Belvedere, Parity properties of an advection-dominated solar α 2 Ω-dynamo. Astron. Astrophys. 390, 673–680 (2002). doi:10.1051/0004-6361:20020590
J. Braithwaite, On non-axisymmetric magnetic equilibria in stars. Mon. Not. R. Astron. Soc. 386, 1947–1958 (2008). doi:10.1111/j.1365-2966.2008.13218.x
J. Braithwaite, Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components. Mon. Not. R. Astron. Soc. 397, 763–774 (2009). doi:10.1111/j.1365-2966.2008.14034.x
J. Braithwaite, Å. Nordlund, Stable magnetic fields in stellar interiors. Astron. Astrophys. 450(3), 1077–1095 (2006)
J. Braithwaite, H.C. Spruit, A fossil origin for the magnetic field in a stars and white dwarfs. Nature 431, 819–821 (2004). doi:10.1038/nature02934
A. Brandenburg, The case for a distributed solar dynamo shaped by near-surface shear. Astrophys. J. 625, 539–547 (2005). doi:10.1086/429584
A. Brandenburg, D. Moss, I. Tuominen, Stratification and thermodynamics in mean-field dynamos. Astron. Astrophys. 265, 328–344 (1992)
B.P. Brown, Convection and Dynamo Action in Rapidly Rotating Suns, Ph.D. thesis, University of Colorado at Boulder (2009)
B.P. Brown, M.K. Browning, A.S. Brun, M.S. Miesch, J. Toomre, Persistent magnetic wreaths in a rapidly rotating Sun. Astrophys. J. 711, 424–438 (2010). doi:10.1088/0004-637X/711/1/424
B.P. Brown, M.S. Miesch, M.K. Browning, A.S. Brun, J. Toomre, Magnetic cycles in a convective dynamo simulation of a Young solar-type star. Astrophys. J. 731, 69 (2011). doi:10.1088/0004-637X/731/1/69
B.P. Brown, M.K. Browning, A.S. Brun, M.S. Miesch, J. Toomre, Persistent magnetic wreaths in a rapidly rotating Sun. Astrophys. J. 711(1), 424–438 (2010)
M.K. Browning, M.S. Miesch, A.S. Brun, J. Toomre, Dynamo action in the solar convection zone and tachocline: pumping and organization of toroidal fields. Astrophys. J. 648, 157–160 (2006). doi:10.1086/507869
M.K. Browning, A.S. Brun, M.S. Miesch, J. Toomre, Dynamo action in simulations of penetrative solar convection with an imposed tachocline. Astron. Nachr. 328, 1100 (2007). doi:10.1002/asna.200710849
M.K. Browning, M.S. Miesch, A.S. Brun, J. Toomre, Dynamo action in the solar convection zone and tachocline: pumping and organization of toroidal fields. Astrophys. J. 648(2), 157–160 (2006)
A.S. Brun, Towards using modern data assimilation and weather forecasting methods in solar physics. Astron. Nachr. 328, 329 (2007). doi:10.1002/asna.200610739
A.S. Brun, O. Do Cao, Private communication (2013)
A.S. Brun, M. Rempel, Large scale flows in the solar convection zone. Space Sci. Rev. 144, 151–173 (2009). doi:10.1007/s11214-008-9454-9
A.S. Brun, M.S. Miesch, J. Toomre, Global-scale turbulent convection and magnetic dynamo action in the solar envelope. Astrophys. J. 614, 1073–1098 (2004a). doi:10.1086/423835
A.S. Brun, M.S. Miesch, J. Toomre, Global-scale turbulent convection and magnetic dynamo action in the solar envelope. Astrophys. J. 614, 1073–1098 (2004b). doi:10.1086/423835
A.S. Brun, Nonlinear simulations of magnetic instabilities in stellar radiation zones: the role of rotation and shear. Astron. Nachr. 328(10), 1137–1141 (2007)
A.S. Brun, J. Toomre, Turbulent convection under the influence of rotation: sustaining a strong differential rotation. Astrophys. J. 570, 865 (2002)
A.S. Brun, J.-P. Zahn, Magnetic confinement of the solar tachocline. Astron. Astrophys. 457, 665 (2006)
A.S. Brun, M.S. Miesch, J. Toomre, Global-scale turbulent convection and magnetic dynamo action in the solar envelope. Astrophys. J. 614(2), 1073–1098 (2004)
A.S. Brun, M.S. Miesch, J. Toomre, Modeling the dynamical coupling of solar convection with the radiative interior. Astrophys. J. 742(2), 79 (2011)
E. Bullard, H. Gellman, Homogeneous dynamos and terrestrial magnetism. Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci. 247(9), 213–278 (1954)
P.J. Bushby, Zonal flows and grand minima in a solar dynamo model. Mon. Not. R. Astron. Soc. 371, 772–780 (2006). doi:10.1111/j.1365-2966.2006.10706.x
R.H. Cameron, M. Schüssler, Are the strengths of solar cycles determined by converging flows towards the activity belts? Astron. Astrophys. 548, 57 (2012). doi:10.1051/0004-6361/201219914
F. Cattaneo, On the origin of magnetic fields in the quiet photosphere. Astrophys. J. Lett. 515, 39–42 (1999). doi:10.1086/311962
F. Cattaneo, D.W. Hughes, Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers. Mon. Not. R. Astron. Soc. 395, 48–51 (2009). doi:10.1111/j.1745-3933.2009.00639.x
P. Charbonneau, Dynamo models of the solar cycle. Living Rev. Sol. Phys. 2, 2 (2005)
P. Charbonneau, Where is the solar dynamo? J. Phys. Conf. Ser. 440(1), 012014 (2013). doi:10.1088/1742-6596/440/1/012014
P. Charbonneau, M. Dikpati, Stochastic fluctuations in a Babcock–Leighton model of the solar cycle. Astrophys. J. 543, 1027–1043 (2000). doi:10.1086/317142
C. Charbonnel, S. Talon, Influence of gravity waves on the internal rotation and Li abundance of solar-type stars. Science 309, 2189–2191 (2005). doi:10.1126/science.1116849
P. Chatterjee, D. Nandy, A.R. Choudhuri, Full-sphere simulations of a circulation-dominated solar dynamo: exploring the parity issue. Astron. Astrophys. 427, 1019–1030 (2004). doi:10.1051/0004-6361:20041199
M.C.M. Cheung, M. Rempel, A.M. Title, M. Schüssler, Simulation of the formation of a solar active region. Astrophys. J. 720, 233–244 (2010). doi:10.1088/0004-637X/720/1/233
A.R. Choudhuri, B.B. Karak, A possible explanation of the Maunder minimum from a flux transport dynamo model. Res. Astron. Astrophys. 9, 953–958 (2009). doi:10.1088/1674-4527/9/9/001
A.R. Choudhuri, P. Chatterjee, J. Jiang, Predicting solar cycle 24 with a solar dynamo model. Phys. Rev. Lett. 98(13), 131103 (2007). doi:10.1103/PhysRevLett.98.131103
A.R. Choudhuri, M. Schüssler, M. Dikpati, The solar dynamo with meridional circulation. Astron. Astrophys. 303, 29 (1995)
F. Clette, L. Lefèvre, Are the sunspots really vanishing? Anomalies in solar cycle 23 and implications for long-term models and proxies. J. Space Weather Space Clim. 2(26), 260000 (2012). doi:10.1051/swsc/2012007
E. Covas, D. Moss, R. Tavakol, Dynamo models and differential rotation in late-type rapidly rotating stars. Astron. Astrophys. 429, 657–665 (2005). doi:10.1051/0004-6361:20041741
T.G. Cowling, in Solar Electrodynamics, ed. by G.P. Kuiper (1953), p. 532
R.M. Crutcher, N. Hakobian, T.H. Troland, Testing magnetic star formation theory. Astrophys. J. 692, 844–855 (2009). doi:10.1088/0004-637X/692/1/844
M. Dasi-Espuig, S.K. Solanki, N.A. Krivova, R. Cameron, T. Peñuela, Sunspot group tilt angles and the strength of the solar cycle. Astron. Astrophys. 518, 7 (2010). doi:10.1051/0004-6361/201014301
P. Démoulin, E. Pariat, Modelling and observations of photospheric magnetic helicity. Adv. Space Res. 43, 1013–1031 (2009). doi:10.1016/j.asr.2008.12.004
M.L. DeRosa, A.S. Brun, J.T. Hoeksema, Solar magnetic field reversals and the role of dynamo families. Astrophys. J. 757, 96 (2012). doi:10.1088/0004-637X/757/1/96
M. Dikpati, J.L. Anderson, Evaluating potential for data assimilation in a flux-transport dynamo model by assessing sensitivity and response to meridional flow variation. Astrophys. J. 756, 20 (2012). doi:10.1088/0004-637X/756/1/20
M. Dikpati, P.S. Cally, Analyses of three-dimensional magnetohydrodynamic instability of antisolar latitudinal differential rotation in F, G, and K stars. Astrophys. J. 739, 4 (2011). doi:10.1088/0004-637X/739/1/4
M. Dikpati, P. Charbonneau, A Babcock–Leighton flux transport dynamo with solar-like differential rotation. Astrophys. J. 518, 508–520 (1999). doi:10.1086/307269
M. Dikpati, P.A. Gilman, Flux-transport dynamos with α-effect from global instability of tachocline differential rotation: a solution for magnetic parity selection in the Sun. Astrophys. J. 559, 428–442 (2001). doi:10.1086/322410
M. Dikpati, P.A. Gilman, A Shallow–Water theory for the Sun’s active longitudes. Astrophys. J. Lett. 635, 193–196 (2005). doi:10.1086/499626
M. Dikpati, P.A. Gilman, Simulating and predicting solar cycles using a flux-transport dynamo. Astrophys. J. 649, 498–514 (2006). doi:10.1086/506314
M. Dikpati, G. de Toma, P.A. Gilman, Predicting the strength of solar cycle 24 using a flux-transport dynamo-based tool. Geophys. Res. Lett. 33, 5102 (2006). doi:10.1029/2005GL025221
M. Dikpati, G. de Toma, P.A. Gilman, C.N. Arge, O.R. White, Diagnostics of polar field reversal in solar cycle 23 using a flux transport dynamo model. Astrophys. J. 601, 1136–1151 (2004). doi:10.1086/380508
M. Dikpati, P.A. Gilman, G. de Toma, S.S. Ghosh, Simulating solar cycles in northern and southern hemispheres by assimilating magnetic data into a calibrated flux-transport dynamo. Sol. Phys. 245, 1–17 (2007). doi:10.1007/s11207-007-9016-4
M. Dikpati, P.A. Gilman, G. de Toma, R.K. Ulrich, Impact of changes in the Sun’s conveyor-belt on recent solar cycles. Geophys. Res. Lett. 37, 14107 (2010). doi:10.1029/2010GL044143
M. Dikpati, P.A. Gilman, R.K. Ulrich, Physical origin of differences among various measures of solar meridional circulation. Astrophys. J. 722(1), 774–778 (2010)
M. Dikpati, P.A. Gilman, P.S. Cally, M.S. Miesch, Axisymmetric MHD instabilities in Solar/Stellar tachoclines. Astrophys. J. 692(2), 1421–1431 (2009)
O. Do Cao, A.S. Brun, Effects of turbulent pumping on stellar activity cycles. Astron. Nachr. 332, 907 (2011). doi:10.1002/asna.201111623
V. Domingo, I. Ermolli, P. Fox, C. Fröhlich, M. Haberreiter, N. Krivova, G. Kopp, W. Schmutz, S.K. Solanki, H.C. Spruit, Y. Unruh, A. Vögler, Solar surface magnetism and irradiance on time scales from days to the 11-year cycle. Space Sci. Rev. 145, 337–380 (2009). doi:10.1007/s11214-009-9562-1
S. D’Silva, A.R. Choudhuri, A theoretical model for tilts of bipolar magnetic regions. Astron. Astrophys. 272, 621 (1993)
V. Duez, Numerical simulations of magnetic relaxation in rotating stellar radiation zones. Astron. Nachr. 332(9), 983 (2011)
V. Duez, J. Braithwaite, S. Mathis, On the stability of non-force-free magnetic equilibria in stars. Astrophys. J. Lett. 724(1), 34–38 (2010)
I. Ermolli, K. Matthes, T. Dudok de Wit, N.A. Krivova, K. Tourpali, M. Weber, Y.C. Unruh, L. Gray, U. Langematz, P. Pilewskie, E. Rozanov, W. Schmutz, A. Shapiro, S.K. Solanki, G. Thuillier, T.N. Woods, Recent variability of the solar spectral irradiance and its impact on climate modelling. Atmos. Chem. Phys. Discuss. 12, 24557–24642 (2012). doi:10.5194/acpd-12-24557-2012
V.C.A. Ferraro, The non-uniform rotation of the Sun and its magnetic field. Mon. Not. R. Astron. Soc. 97, 458 (1937)
J.M. Fontenla, J. Harder, W. Livingston, M. Snow, T. Woods, High-resolution solar spectral irradiance from extreme ultraviolet to far infrared. J. Geophys. Res., Atmos. 116, 20108 (2011). doi:10.1029/2011JD016032
E. Forgács-Dajka, Dynamics of the fast solar tachocline. II. Migrating field. Astron. Astrophys. 413, 1143 (2004)
E. Forgács-Dajka, K. Petrovay, Dynamics of the fast solar tachocline. I. Dipolar field. Astron. Astrophys. 389, 629–640 (2002). doi:10.1051/0004-6361:20020586
P. Foukal, C. Fröhlich, H. Spruit, T.M.L. Wigley, Variations in solar luminosity and their effect on the Earth’s climate. Nature 443, 161–166 (2006). doi:10.1038/nature05072
P. Fox, Solar activity and irradiance variations, in Solar Variability and Its Effects on Climate. Geophysical Monograph 141, ed. by J.M. Pap, P. Fox, C. Frohlich, H.S. Hudson, J. Kuhn, J. McCormack, G. North, W. Sprigg, S.T. Wu Washington DC American Geophysical Union Geophysical Monograph Series, vol. 141, 2004, p. 141
C. Fröhlich, Observations of irradiance variations. Space Sci. Rev. 94, 15–24 (2000)
C. Fröhlich, Total solar irradiance observations. Surv. Geophys. 33, 453–473 (2012). doi:10.1007/s10712-011-9168-5
C. Fröhlich, J. Lean, The Sun’s total irradiance: cycles, trends and related climate change uncertainties since 1976. Geophys. Res. Lett. 25, 4377–4380 (1998). doi:10.1029/1998GL900157
B. Gallet, F. Pétrélis, From reversing to hemispherical dynamos. Phys. Rev. E 80(3), 035302 (2009)
P. Garaud, Dynamics of the solar tachocline—I. An incompressible study. Mon. Not. R. Astron. Soc. 329, 1 (2002)
P. Garaud, L. Acevedo Arreguin, On the penetration of meridional circulation below the solar convection zone. II. Models with convection zone, the Taylor–Proudman constraint, and applications to other stars. Astrophys. J. 704, 1 (2009)
P. Garaud, N.H. Brummell, On the penetration of meridional circulation below the solar convection zone. Astrophys. J. 674(1), 498–510 (2008)
P. Garaud, J.-D. Garaud, Dynamics of the solar tachocline—II. The stratified case. Mon. Not. R. Astron. Soc. 391, 1239 (2008)
T. Gastine, L. Duarte, J. Wicht, Dipolar versus multipolar dynamos: the influence of the background density stratification. Astron. Astrophys. 546, A19 (2012). doi:10.1051/0004-6361/201219799
M. Gellert, G. Rüdiger, D. Elstner, Helicity generation and α-effect by Tayler instability with z-dependent differential rotation. Astron. Astrophys. 479, 33–36 (2008). doi:10.1051/0004-6361:20077781
M. Ghizaru, P. Charbonneau, P. Smolarkiewicz, Magnetic cycles in global large-eddy simulations of solar convection. Astrophys. J. Lett. 715(2), 133–137 (2010)
P.M. Giles, T.L. Duvall, P.H. Scherrer, R.S. Bogart, A subsurface flow of material from the Sun’s equator to its poles. Nature 390, 52–54 (1997). doi:10.1038/36294
P.A. Gilman, J. Miller, Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. Astrophys. J. Suppl. Ser. 46, 211–238 (1981). doi:10.1086/190743
P.A. Gilman, Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II—Dynamos with cycles and strong feedbacks. Astrophys. J. Suppl. Ser. 53, 243 (1983)
P.A. Gilman, P.A. Fox, Joint instability of latitudinal differential rotation and toroidal magnetic fields below the solar convection zone. Astrophys. J. 484, 439 (1997)
L. Gizon, A.C. Birch, H.C. Spruit, Local helioseismology: three-dimensional imaging of the solar interior. Annu. Rev. Astron. Astrophys. 48, 289–338 (2010). doi:10.1146/annurev-astro-082708-101722
L. Gizon, A.C. Birch, Local helioseismology. Living Rev. Sol. Phys. 2, 6 (2005)
G.A. Glatzmaier, Numerical simulations of stellar convective dynamos. II—Field propagation in the convection zone. Astrophys. J. 291, 300 (1985)
A. Goel, A.R. Choudhuri, The hemispheric asymmetry of solar activity during the last century and the solar dynamo. Res. Astron. Astrophys. 9, 115–126 (2009). doi:10.1088/1674-4527/9/1/010
I. González Hernández, R. Howe, R. Komm, F. Hill, Meridional circulation during the extended solar minimum: another component of the torsional oscillation? Astrophys. J. Lett. 713, 16–20 (2010). doi:10.1088/2041-8205/713/1/L16
D.O. Gough, M.E. McIntyre, Inevitability of a magnetic field in the Sun’s radiative interior. Nature 394, 755 (1998)
D. Gubbins, K. Zhang, Symmetry properties of the dynamo equations for palaeomagnetism and geomagnetism. Phys. Earth Planet. Inter. 75(4), 225–241 (1993)
G. Guerrero, E.M. de Gouveia Dal Pino, Turbulent magnetic pumping in a Babcock–Leighton solar dynamo model. Astron. Astrophys. 485, 267–273 (2008). doi:10.1051/0004-6361:200809351
D.A. Haber, B.W. Hindman, J. Toomre, R.S. Bogart, R.M. Larsen, F. Hill, Evolving submerged meridional circulation cells within the upper convection zone revealed by ring-diagram analysis. Astrophys. J. 570, 855–864 (2002). doi:10.1086/339631
J.D. Haigh, A.R. Winning, R. Toumi, J.W. Harder, An influence of solar spectral variations on radiative forcing of climate. Nature 467, 696–699 (2010). doi:10.1038/nature09426
G.E. Hale, S.B. Nicholson, The law of Sun-spot polarity. Astrophys. J. 62, 270 (1925). doi:10.1086/142933
J. Hao, M. Zhang, Hemispheric helicity trend for solar cycle 24. Astrophys. J. Lett. 733, 27 (2011). doi:10.1088/2041-8205/733/2/L27
D.H. Hathaway, Doppler measurements of the Sun’s meridional flow. Astrophys. J. 460, 1027 (1996). doi:10.1086/177029
D.H. Hathaway, Solar cycle forecasting. Space Sci. Rev. 144, 401–412 (2009). doi:10.1007/s11214-008-9430-4
D.H. Hathaway, The solar cycle. Living Rev. Sol. Phys. 7, 1 (2010)
D.H. Hathaway, Supergranules as probes of the Sun’s meridional circulation. Astrophys. J. 760, 84 (2012). doi:10.1088/0004-637X/760/1/84
D.H. Hathaway, L. Rightmire, Variations in the Sun s meridional flow over a solar cycle. Science 327, 1350 (2010). doi:10.1126/science.1181990
G. Hazra, B.B. Karak, A.R. Choudhuri, Is a deep one-cell meridional circulation essential for the flux transport Solar Dynamo? ArXiv e-prints (2013)
H. Hotta, T. Yokoyama, Importance of surface turbulent diffusivity in the solar flux-transport dynamo. Astrophys. J. 709, 1009–1017 (2010a). doi:10.1088/0004-637X/709/2/1009
H. Hotta, T. Yokoyama, Solar parity issue with flux-transport dynamo. Astrophys. J. 714, 308–312 (2010b). doi:10.1088/2041-8205/714/2/L308
R. Howard, B.J. Labonte, The Sun is observed to be a torsional oscillator with a period of 11 years. Astrophys. J. Lett. 239, 33–36 (1980). doi:10.1086/183286
R. Howe, Solar interior rotation and its variation. Living Rev. Sol. Phys. 6, 1 (2009)
R. Howe, R. Komm, F. Hill, R. Ulrich, D.A. Haber, B.W. Hindman, J. Schou, M.J. Thompson, Large-scale zonal flows near the solar surface. Sol. Phys. 235, 1–15 (2006). doi:10.1007/s11207-006-0117-2
R. Howe, J. Christensen-Dalsgaard, F. Hill, R. Komm, J. Schou, M.J. Thompson, A note on the torsional oscillation at solar minimum. Astrophys. J. Lett. 701, 87–90 (2009). doi:10.1088/0004-637X/701/2/L87
R. Howe, J. Christensen-Dalsgaard, F. Hill, R. Komm, T.P. Larson, M. Rempel, J. Schou, M.J. Thompson, The high-latitude branch of the solar torsional oscillation in the rising phase of cycle 24. Astrophys. J. Lett. 767, 20 (2013). doi:10.1088/2041-8205/767/1/L20
D.W. Hughes, M.R.E. Proctor, The effect of velocity shear on dynamo action due to rotating convection. J. Fluid Mech. 717, 395–416 (2013). doi:10.1017/jfm.2012.584
D.W. Hughes, M.R.E. Proctor, F. Cattaneo, The α-effect in rotating convection: a comparison of numerical simulations. Mon. Not. R. Astron. Soc. 414, 45–49 (2011). doi:10.1111/j.1745-3933.2011.01053.x
S. Ilonidis, J. Zhao, A. Kosovichev, Detection of emerging sunspot regions in the solar interior. Science 333, 993 (2011). doi:10.1126/science.1206253
J. Jiang, E. Işik, R.H. Cameron, D. Schmitt, M. Schüssler, The effect of activity-related meridional flow modulation on the strength of the solar polar magnetic field. Astrophys. J. 717, 597–602 (2010). doi:10.1088/0004-637X/717/1/597
M. Joos, P. Hennebelle, A. Ciardi, Protostellar disk formation and transport of angular momentum during magnetized core collapse. Astron. Astrophys. 543, 128 (2012). doi:10.1051/0004-6361/201118730
L. Jouve, A.S. Brun, G. Aulanier, Global dynamics of subsurface solar active regions. Astrophys. J. 762, 4 (2013). doi:10.1088/0004-637X/762/1/4
L. Jouve, A.S. Brun, R. Arlt, A. Brandenburg, M. Dikpati, A. Bonanno, P.J. Käpylä, D. Moss, M. Rempel, P. Gilman, M.J. Korpi, A.G. Kosovichev, A solar mean field dynamo benchmark. Astron. Astrophys. 483, 949–960 (2008). doi:10.1051/0004-6361:20078351
L. Jouve, A.S. Brun, On the role of meridional flows in flux transport dynamo models. Astron. Astrophys. 474(1), 239–250 (2007)
L. Jouve, A.S. Brun, Three-dimensional nonlinear evolution of a magnetic flux tube in a spherical shell: influence of turbulent convection and associated mean flows. Astrophys. J. 701(2), 1300–1322 (2009)
L. Jouve, A.S. Brun, O. Talagrand, Assimilating data into an αΩ dynamo model of the Sun: a variational approach. Astrophys. J. 735(1), 31 (2011)
P.J. Käpylä, M.J. Mantere, A. Brandenburg, Cyclic magnetic activity due to turbulent convection in spherical wedge geometry. Astrophys. J. Lett. 755, 22 (2012). doi:10.1088/2041-8205/755/1/L22
P.J. Käpylä, M.J. Korpi, A. Brandenburg, D. Mitra, R. Tavakol, Convective dynamos in spherical wedge geometry. Astron. Nachr. 331, 73 (2010). doi:10.1002/asna.200911252
P.J. Käpylä, M.J. Mantere, A. Brandenburg, Cyclic magnetic activity due to turbulent convection in spherical wedge geometry. Astrophys. J. 755(1), 22 (2012)
P.J. Käpylä, M.J. Mantere, E. Cole, J. Warnecke, A. Brandenburg, Effects of strong stratification on equatorward dynamo wave propagation. Astrophys. J. 778, 41 (2013). doi:10.1088/0004-637X/778/1/41
B.B. Karak, Importance of meridional circulation in flux transport dynamo: the possibility of a maunder-like grand minimum. Astrophys. J. 724, 1021–1029 (2010). doi:10.1088/0004-637X/724/2/1021
B.B. Karak, A.R. Choudhuri, Quenching of meridional circulation in flux transport dynamo models. Sol. Phys. 278, 137–148 (2012). doi:10.1007/s11207-012-0142-2
B.B. Karak, K. Petrovay, On the Compatibility of a Flux Transport Dynamo with a Fast Tachocline Scenario. Sol. Phys. (2012)
R. Komm, R. Howe, F. Hill, A search for coherent structures in subsurface flows. J. Phys. Conf. Ser. 271(1), 012065 (2011). doi:10.1088/1742-6596/271/1/012065
R. Komm, I. González Hernández, F. Hill, R. Bogart, M.C. Rabello-Soares, D. Haber, Subsurface meridional flow from HMI using the ring-diagram pipeline. Sol. Phys. (2012). doi:10.1007/s11207-012-0073-y
G. Kopp, J.L. Lean, A new, lower value of total solar irradiance: evidence and climate significance. Geophys. Res. Lett. 38, 1706 (2011). doi:10.1029/2010GL045777
A.G. Kosovichev, J.O. Stenflo, Tilt of emerging bipolar magnetic regions on the Sun. Astrophys. J. Lett. 688, 115–118 (2008). doi:10.1086/595619
N.A. Krivova, L. Balmaceda, S.K. Solanki, Reconstruction of solar total irradiance since 1700 from the surface magnetic flux. Astron. Astrophys. 467, 335–346 (2007). doi:10.1051/0004-6361:20066725
R.L. Kurucz, Atomic data for interpreting stellar spectra: isotopic and hyperfine data. Phys. Scr. T 47, 110–117 (1993). doi:10.1088/0031-8949/1993/T47/017
B.J. Labonte, R. Howard, Torsional waves on the Sun and the activity cycle. Sol. Phys. 75, 161–178 (1982). doi:10.1007/BF00153469
J. Lean, The Sun’s variable radiation and its relevance for Earth. Annu. Rev. Astron. Astrophys. 35, 33–67 (1997). doi:10.1146/annurev.astro.35.1.33
R.B. Leighton, A Magneto–Kinematic model of the solar cycle. Astrophys. J. 156, 1 (1969). doi:10.1086/149943
R. Leonhardt, K. Fabian, Paleomagnetic reconstruction of the global geomagnetic field evolution during the Matuyama/Brunhes transition: iterative Bayesian inversion and independent verification. Earth Planet. Sci. Lett. 253, 172–195 (2007). doi:10.1016/j.epsl.2006.10.025
M. Lesieur, Turbulence in Fluids, Series: Fluid Mechanics and Its Applications. Berlin: Springer, 2008
J. Li, R.K. Ulrich, Long-term measurements of sunspot magnetic tilt angles. Astrophys. J. 758, 115 (2012). doi:10.1088/0004-637X/758/2/115
P.W. Livermore, D.W. Hughes, S.M. Tobias, Nonlinear generation of large-scale magnetic fields in forced spherical shell dynamos. PoF 22(3), 7101 (2010)
M. Lockwood, Solar influence on global and regional climates. Surv. Geophys. 33, 503–534 (2012). doi:10.1007/s10712-012-9181-3
W.V.R. Malkus, M.R.E. Proctor, The macrodynamics of alpha-effect dynamos in rotating fluids. J. Fluid Mech. 67, 417–443 (1975). doi:10.1017/S0022112075000390
P. Markey, R.J. Tayler, The adiabatic stability of stars containing magneticfields-II. Poloidal fields. Mon. Not. R. Astron. Soc. 163, 77 (1973)
J. Mason, D.W. Hughes, S.M. Tobias, The effects of flux transport on interface dynamos. Mon. Not. R. Astron. Soc. 391(1), 467–480 (2008)
E.W. Maunder, Note on the distribution of Sun-spots in heliographic latitude, 1874–1902. Mon. Not. R. Astron. Soc. 64, 747–761 (1904)
B.H. McClintock, A.A. Norton, Recovering Joy’s law as a function of solar cycle, hemisphere, and longitude. Sol. Phys. 287, 215–227 (2013). doi:10.1007/s11207-013-0338-0
P.L. McFadden, R.T. Merrill, M.W. McElhinny, S. Lee, Reversals of the Earth’s magnetic field and temporal variations of the dynamo families. J. Geophys. Res. 96, 3923–3933 (1991). doi:10.1029/90JB02275
M.S. Miesch, B.P. Brown, Convective Babcock–Leighton dynamo models. Astrophys. J. 746, 26 (2012). doi:10.1088/2041-8205/746/2/L26
M.S. Miesch, A.S. Brun, J. Toomre, Solar differential rotation influenced by latitudinal entropy variations in the tachocline. Astrophys. J. 641, 618–625 (2006). doi:10.1086/499621
P.D. Mininni, A. Alexakis, A. Pouquet, Shell-to-shell energy transfer in magnetohydrodynamics. II. Kinematic dynamo. Phys. Rev. E 72(4), 46302 (2005)
U. Mitra-Kraev, M.J. Thompson, Meridional flow profile measurements with SOHO/MDI. Astron. Nachr. 328, 1009–1012 (2007). doi:10.1002/asna.200710873
H. Miyahara, K. Masuda, Y. Muraki, H. Furuzawa, H. Menjo, T. Nakamura, Cyclicity of solar activity during the maunder minimum deduced from radiocarbon content. Sol. Phys. 224, 317–322 (2004). doi:10.1007/s11207-005-6501-5
H.K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978)
F. Moreno-Insertis, Rise times of horizontal magnetic flux tubes in the convection zone of the Sun. Astron. Astrophys. 122, 241–250 (1983)
D. Moss, The survival of fossil magnetic fields during pre-main sequence evolution. Astron. Astrophys. 403, 693–697 (2003). doi:10.1051/0004-6361:20030431
D. Moss, J. Brooke, Towards a model for the solar dynamo. Mon. Not. R. Astron. Soc. 315, 521–533 (2000). doi:10.1046/j.1365-8711.2000.03452.x
T. Nakano, R. Nishi, T. Umebayashi, Mechanism of magnetic flux loss in molecular clouds. Astrophys. J. 573, 199–214 (2002). doi:10.1086/340587
D. Nandy, A. Muñoz-Jaramillo, P.C.H. Martens, The unusual minimum of sunspot cycle 23 caused by meridional plasma flow variations. Nature 471, 80–82 (2011). doi:10.1038/nature09786
N.J. Nelson, B.P. Brown, A. Sacha Brun, M.S. Miesch, J. Toomre, Buoyant magnetic loops generated by global convective dynamo action. Sol. Phys. (2013a). doi:10.1007/s11207-012-0221-4
N.J. Nelson, B.P. Brown, A.S. Brun, M.S. Miesch, J. Toomre, Magnetic wreaths and cycles in convective dynamos. Astrophys. J. 762, 73 (2013b)
M. Ossendrijver, The solar dynamo. Astron. Astrophys. Rev. 11, 287–367 (2003). doi:10.1007/s00159-003-0019-3
P. Padoan, T. Lunttila, M. Juvela, Å. Nordlund, D. Collins, A. Kritsuk, M. Normal, S. Ustyugov, Magnetic fields in molecular clouds, in IAU Symposium, ed. by N.H. Brummell, A.S. Brun, M.S. Miesch, Y. Ponty IAU Symposium, vol. 271, 2011, pp. 187–196. doi:10.1017/S1743921311017601
F. Palla, S.W. Stahler, The pre-main-sequence evolution of intermediate-mass stars. Astrophys. J. 418, 414 (1993). doi:10.1086/173402
M.A. Palmer, L.J. Gray, M.R. Allen, W.A. Norton, Solar forcing of climate: model results. Adv. Space Res. 34, 343–348 (2004). doi:10.1016/j.asr.2003.02.039
J.M. Pap, Total solar and spectral irradiance variations from near-uv to infrared, in The Sun’s Surface and Subsurface: Investigating Shape, ed. by J.-P. Rozelot Lecture Notes in Physics, Berlin Springer Verlag, vol. 599, 2003, pp. 129–155
J.M. Pap, P.A. Fox, Solar variability and its effects on climate. Washington DC American Geophysical Union Geophysical Monograph Series 141 (2003)
E.N. Parker, A solar dynamo surface wave at the interface between convection and nonuniform rotation. Astrophys. J. 408, 707–719 (1993). doi:10.1086/172631
F. Pétrélis, S. Fauve, E. Dormy, J.-P. Valet, Simple mechanism for reversals of Earth’s magnetic field. Phys. Rev. Lett. 102(1), 144503 (2009)
K. Petrovay, Solar cycle prediction. Living Rev. Sol. Phys. 7, 6 (2010). doi:10.12942/lrsp-2010-6
K. Petrovay, U.R. Christensen, The magnetic Sun: reversals and long-term variations. Space Sci. Rev. 155, 371–385 (2010). doi:10.1007/s11214-010-9657-8
K. Petrovay, E. Forgács-dajka, The role of active regions in the generation of torsional oscillations. Sol. Phys. 205, 39–52 (2002). doi:10.1023/A:1013833709489
A.A. Pevtsov, R.C. Canfield, S.M. Latushko, Hemispheric helicity trend for solar cycle 23. Astrophys. J. Lett. 549, 261–263 (2001). doi:10.1086/319179
A.A. Pevtsov, G.H. Fisher, L.W. Acton, D.W. Longcope, C.M. Johns-Krull, C.C. Kankelborg, T.R. Metcalf, The relationship between X-ray radiance and magnetic flux. Astrophys. J. 598, 1387–1391 (2003). doi:10.1086/378944
J.H. Piddington, Theory of the solar 22-year cycle. Proc. Astron. Soc. Aust. 2, 7 (1971)
R.F. Pinto, A.S. Brun, Flux emergence in a magnetized convection zone. Astrophys. J. 772, 55 (2013). doi:10.1088/0004-637X/772/1/55
R.F. Pinto, A.S. Brun, L. Jouve, R. Grappin, Coupling the solar dynamo and the corona: wind properties, mass, and momentum losses during an activity cycle. Astrophys. J. 737(2), 72 (2011)
E. Pitts, R.J. Tayler, The adiabatic stability of stars containing magnetic fields. IV—The influence of rotation. Mon. Not. R. Astron. Soc. 216, 139–154 (1985)
É. Racine, P. Charbonneau, M. Ghizaru, A. Bouchat, P.K. Smolarkiewicz, On the mode of dynamo action in a global large-eddy simulation of solar convection. Astrophys. J. 735, 46 (2011). doi:10.1088/0004-637X/735/1/46
M. Rempel, Flux-transport dynamos with Lorentz force feedback on differential rotation and meridional flow: saturation mechanism and torsional oscillations. Astrophys. J. 647, 662–675 (2006). doi:10.1086/505170
M. Rempel, M. Schüssler, M. Knölker, Radiative magnetohydrodynamic simulation of sunspot structure. Astrophys. J. 691, 640–649 (2009). doi:10.1088/0004-637X/691/1/640
L. Rightmire-Upton, D.H. Hathaway, K. Kosak, Measurements of the Sun’s high-latitude meridional circulation. Astrophys. J. 761, 14 (2012). doi:10.1088/2041-8205/761/1/L14
T.M. Rogers, On limiting the thickness of the solar tachocline. Astrophys. J. 733(1), 12 (2011)
G. Rüdiger, L.L. Kitchatinov, D. Elstner, Helicity and dynamo action in magnetized stellar radiation zones. Mon. Not. R. Astron. Soc. 425, 2267–2276 (2012). doi:10.1111/j.1365-2966.2012.21569.x
G. Rüdiger, L.L. Kitchatinov, The slender solar tachocline: a magnetic model. Astron. Nachr. 318, 273 (1997)
G. Rüdiger, L.L. Kitchatinov, Structure and stability of the magnetic solar tachocline. New J. Phys. 9, 302 (2007)
W. Schmutz, A. Fehlmann, W. Finsterle, the PREMOS team, First Light of PREMOS/PICARD, Annual Report 2011, Physikalisch-Meteorologisches Observatorium, World Radiation Center, Davos, Switzerland 44 pp., 24574, 24575, 24576, 24608 (2012). http://www.pmodwrc.ch/annualreport/annualreport2011.pdf,
J. Schou, H.M. Antia, S. Basu, R.S. Bogart, R.I. Bush, S.M. Chitre, J. Christensen-Dalsgaard, M.P. di Mauro, W.A. Dziembowski, A. Eff-Darwich, D.O. Gough, D.A. Haber, J.T. Hoeksema, R. Howe, S.G. Korzennik, A.G. Kosovichev, R.M. Larsen, F.P. Pijpers, P.H. Scherrer, T. Sekii, T.D. Tarbell, A.M. Title, M.J. Thompson, J. Toomre, Helioseismic studies of differential rotation in the solar envelope by the solar oscillations investigation using the Michelson Doppler imager. Astrophys. J. 505, 390 (1998)
C.J. Schrijver, A.M. Title, On the formation of polar spots in Sun-like stars. Astrophys. J. 551, 1099–1106 (2001). doi:10.1086/320237
H. Schunker, L. Gizon, R.H. Cameron, A.C. Birch, Helioseismology of sunspots: how sensitive are travel times to the Wilson depression and to the subsurface magnetic field? Astron. Astrophys. (2013)
M. Schüssler, The formation of sunspots and starspots. Astron. Nachr. 323, 377–382 (2002). doi:10.1002/1521-3994(200208)323:3/4<377::AID-ASNA377>3.0.CO;2-A
M. Schussler, P. Caligari, A. Ferriz-Mas, F. Moreno-Insertis, Instability and eruption of magnetic flux tubes in the solar convection zone. Astron. Astrophys. 281, 69–72 (1994)
D. Shiota, S. Tsuneta, M. Shimojo, N. Sako, D. Orozco Suárez, R. Ishikawa, Polar field reversal observations with hinode. Astrophys. J. 753, 157 (2012). doi:10.1088/0004-637X/753/2/157
F.H. Shu, F.C. Adams, S. Lizano, Star formation in molecular clouds—observation and theory. Annu. Rev. Astron. Astrophys. 25, 23–81 (1987). doi:10.1146/annurev.aa.25.090187.000323
D. Sokoloff, E. Nesme-Ribes, The Maunder minimum: a mixed-parity dynamo mode? Astron. Astrophys. 288, 293–298 (1994)
S.K. Solanki, B. Inhester, M. Schüssler, The solar magnetic field. Rep. Prog. Phys. 69, 563–668 (2006). doi:10.1088/0034-4885/69/3/R02
E.A. Spiegel, N.O. Weiss, Magnetic activity and variations in solar luminosity. Nature 287, 616 (1980)
E.A. Spiegel, J.-P. Zahn, The solar tachocline. Astron. Astrophys. 265, 106 (1992)
H.C. Spruit, Differential rotation and magnetic fields in stellar interiors. Astron. Astrophys. 349, 189–202 (1999)
H. Spruit, Theory of solar irradiance variations. Space Sci. Rev. 94, 113–126 (2000)
H. Spruit, Theories of the solar cycle and its effect on climate. Prog. Theor. Phys. Suppl. 195, 185–200 (2012)
H.C. Spruit, Dynamo action by differential rotation in a stably stratified stellar interior. Astron. Astrophys. 381, 923–932 (2002). doi:10.1051/0004-6361:20011465
H.C. Spruit, Origin of the torsional oscillation pattern of solar rotation. Sol. Phys. 213, 1–21 (2003)
H.C. Spruit, in Theories of the Solar Cycle: a Critical View, ed. by M.P. Miralles, 2011, p. 39. J. Sánchez Almeida
M. Steenbeck, F. Krause, K.-H. Rädler, Berechnung der mittleren LORENTZ-feldstärke ???? X ???? Für ein elektrisch leitendes medium in turbulenter, durch CORIOLIS-kräfte beeinflußter bewegung. Z. Naturforsch. Teil A, Phys. Phys. Chem. Kosmophys. 21, 369 (1966)
R.F. Stein, A. Nordlund, Simulations of solar granulation. I. General properties. Astrophys. J. 499, 914 (1998). doi:10.1086/305678
R.F. Stein, Å. Nordlund, Solar small-scale magnetoconvection. Astrophys. J. 642, 1246–1255 (2006). doi:10.1086/501445
A. Strugarek, A.S. Brun, J.-P. Zahn, Magnetic confinement of the solar tachocline: II. Coupling to a convection zone. Astron. Astrophys. 532, 34 (2011a)
A. Strugarek, A.S. Brun, J.-P. Zahn, Magnetic confinement of the solar tachocline: the oblique dipole. Astron. Nachr. 332(9), 891 (2011b)
A. Strugarek, A.S. Brun, S. Mathis, Y. Sarazin, Magnetic energy cascade in spherical geometry. I. The stellar convective dynamo case. Astrophys. J. 764, 189 (2013). doi:10.1088/0004-637X/764/2/189
A. Sule, G. Rüdiger, R. Arlt, A numerical MHD model for the solar tachocline with meridional flow. Astron. Astrophys. 437(3), 1061–1067 (2005)
R.J. Tayler, The adiabatic stability of stars containing magnetic fields-I. Toroidal fields. Mon. Not. R. Astron. Soc. 161, 365 (1973)
M.J. Thompson, J. Christensen-Dalsgaard, M.S. Miesch, J. Toomre, The internal rotation of the Sun. Annu. Rev. Astron. Astrophys. 41, 599–643 (2003). doi:10.1146/annurev.astro.41.011802.094848
M.J. Thompson, J. Christensen-Dalsgaard, M.S. Miesch, J. Toomre, The internal rotation of the Sun. Annu. Rev. Astron. Astrophys. 41, 599 (2003)
G. Thuillier, M. Deland, A. Shapiro, W. Schmutz, D. Bolsée, S.M.L. Melo, The solar spectral irradiance as a function of the Mg ii index for atmosphere and climate modelling. Sol. Phys. 277, 245–266 (2012). doi:10.1007/s11207-011-9912-5
S.M. Tobias, The solar cycle: parity interactions and amplitude modulation. Astron. Astrophys. 322, 1007–1017 (1997)
S.M. Tobias, Modulation of solar and stellar dynamos. Astron. Nachr. 323, 417–423 (2002). doi:10.1002/1521-3994(200208)323:3/4<417::AID-ASNA417>3.0.CO;2-U
S.M. Tobias, The solar dynamo: the role of penetration, rotation and shear on convective dynamos. Space Sci. Rev. 144, 77–86 (2009). doi:10.1007/s11214-008-9442-0
S.M. Tobias, N.H. Brummell, T.L. Clune, J. Toomre, Transport and storage of magnetic field by overshooting turbulent compressible convection. Astrophys. J. 549, 1183–1203 (2001). doi:10.1086/319448
S.M. Tobias, F. Cattaneo, Limited role of spectra in dynamo theory: coherent versus random dynamos. Phys. Rev. Lett. 101(12), 125003 (2008)
R.K. Ulrich, Solar meridional circulation from Doppler shifts of the Fe I line at 5250 Å as measured by the 150-foot solar tower telescope at the Mt. Wilson observatory. Astrophys. J. 725(1), 658–669 (2010)
Y.C. Unruh, S.K. Solanki, M. Fligge, Modelling solar irradiance variations: comparison with observations, including line-ratio variations. Space Sci. Rev. 94, 145–152 (2000)
I.G. Usoskin, A history of solar activity over millennia. Living Rev. Sol. Phys. 10, 1 (2013). doi:10.12942/lrsp-2013-1
E. Vázquez-Semadeni, R. Banerjee, G.C. Gómez, P. Hennebelle, D. Duffin, R.S. Klessen, Molecular cloud evolution—IV. Magnetic fields, ambipolar diffusion and the star formation efficiency. Mon. Not. R. Astron. Soc. 414, 2511–2527 (2011)
A. Vögler, S. Shelyag, M. Schüssler, F. Cattaneo, T. Emonet, T. Linde, Simulations of magneto-convection in the solar photosphere. Equations, methods, and results of the MURaM code. Astron. Astrophys. 429, 335–351 (2005). doi:10.1051/0004-6361:20041507
S.V. Vorontsov, J. Christensen-Dalsgaard, J. Schou, V.N. Strakhov, M.J. Thompson, Helioseismic measurement of solar torsional oscillations. Science 296, 101–103 (2002). doi:10.1126/science.1069190
Y. Wang, N.R. Sheeley Jr., Magnetic flux transport and the Sun’s dipole moment—new twists to the Babcock–Leighton model. Astrophys. J. 375, 761–770 (1991). doi:10.1086/170240
Y.-M. Wang, N.R. Sheeley Jr., A.G. Nash, A new solar cycle model including meridional circulation. Astrophys. J. 383, 431–442 (1991). doi:10.1086/170800
J. Warnecke, P.J. Käpylä, M.J. Mantere, A. Brandenburg, Ejections of magnetic structures above a spherical wedge driven by a convective dynamo with differential rotation. Sol. Phys. 280, 299–319 (2012). doi:10.1007/s11207-012-0108-4
M.A. Weber, Y. Fan, M.S. Miesch, The rise of active region flux tubes in the turbulent solar convective envelope. Astrophys. J. 741, 11 (2011)
M.A. Weber, Y. Fan, M.S. Miesch, Comparing simulations of rising flux tubes through the solar convection zone with observations of solar active regions: constraining the dynamo field strength. Sol. Phys. 287, 239–263 (2013). doi:10.1007/s11207-012-0093-7
T.S. Wood, N.H. Brummell, Transport by meridional circulations in solar-type stars. Astrophys. J. 755(2), 99 (2012)
T.S. Wood, P. Garaud, The Sun’s meridional circulation and interior magnetic field. Astrophys. J. 738(1), 47 (2011)
G.A.E. Wright, Pinch instabilities in magnetic stars. Mon. Not. R. Astron. Soc. 162, 339 (1973)
A.R. Yeates, D. Nandy, D.H. Mackay, Exploring the physical basis of solar cycle predictions: flux transport dynamics and persistence of memory in advection- versus diffusion-dominated solar convection zones. Astrophys. J. 673, 544–556 (2008). doi:10.1086/524352
A.R. Yeates, D.H. Mackay, A.A. van Ballegooijen, J.A. Constable, A nonpotential model for the Sun’s open magnetic flux. J. Geophys. Res. 115, 9112 (2010). doi:10.1029/2010JA015611
J.-P. Zahn, S. Talon, J. Matias, Angular momentum transport by internal waves in the solar interior. Astron. Astrophys. 322, 320–328 (1997)
J.-P. Zahn, A.S. Brun, S. Mathis, On magnetic instabilities and dynamo action in stellar radiation zones. Astron. Astrophys. 474, 145 (2007)
J. Zhao, R.S. Bogart, A.G. Kosovichev, T.L. Duvall Jr., T. Hartlep, Detection of equatorward meridional flow and evidence of double-cell meridional circulation inside the Sun. Astrophys. J. Lett. 774, 29 (2013). doi:10.1088/2041-8205/774/2/L29
Acknowledgements
We acknowledge critical comments on solar global magnetism and dynamo by Prof. H.C. Spruit. We thank two anonymous referees for detailed and constructive comments. One of us (A.S.B) thanks the University of Kyoto, RIMS and Professors M. Yamada, K. Shibata, H. Isobe and S. Takehiro for their kind invitation in Fall 2013 during which this paper was finished. This work is partially supported by the NASA LWS grant NNX08AQ34G, by the ERC STARS2 project, by the French national program on Sun-Earth relationships (INSU/PNST) and by CNES Sun-Heliosphere program, and by a Consolidated Grant by the UK STFC (ST/J001627/1STFC). We acknowledge the support from ISSI Bern, for our participation in the workshop. The National Center for Atmospheric Research is sponsored by the National Science Foundation.
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Brun, A.S., Browning, M.K., Dikpati, M. et al. Recent Advances on Solar Global Magnetism and Variability. Space Sci Rev 196, 101–136 (2015). https://doi.org/10.1007/s11214-013-0028-0
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DOI: https://doi.org/10.1007/s11214-013-0028-0