1 a b cc b * 1 Helioseismology * * r/r r/r a 1.3 FTD 9 11 Ω B ϕ α B p FTD 2 b Ω * 1 r, θ, ϕ ϕ * 2 *

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1 ymasada@auecc.aichi-edu.ac.jp

2 1 a b cc b * 1 Helioseismology * * r/r r/r a 1.3 FTD 9 11 Ω B ϕ α B p FTD 2 b Ω * 1 r, θ, ϕ ϕ * 2 *

3 2 a O 10 2 R b c Ω B p B ϕ d α α 2 c 2 d Ω FTD 10 5 G * 4 α FTD MHD* 5 2 a FTD 3 FTD FTD FTD * 4 sub-adiabatic * 5 Magneto-Hydro-Dynamics MHD

4 3 a b a 29 b FTD 10 5 G * 6 FTD 10 4 G 12 * 7 FTD 2. FTD FTD FTD MHD 4 MHD 4 * 6 * 7 flux tube explosion G

5 xy xy Ω FTD 5 B x B y t cv 200t cv B x B y π/2 5 a B x, b B y t cv d CZ/v z,rms ( B = πρ 2 eq 4 v )

6 Moffatt B B M δb B M δb B t M = [ u B + ε η B ], M M 0 M u M η 0 ε ε αb M γ B M η t B M, α, γ, η t α Ω u M B M α α FTD α u M 0 Ω α, γ, η t * 8 6 * a B x 6 b B y B x B y 6 c π/2 6 c α 2.3 α * 8 First-Order Smoothing Approximation FOSA Second-Order Correlation Approximation SOCA * 9 α

7 6 a B x, b B y c α 2 τ c H 11 α 1 3 τ c. δu δu ( δu), α a 7 a b α

8 7a 7b α 19 B y u z δb x δb x α B M exp ik z z iσt α σ =± + iαk z, z k z σ α α α α α α

9 3.2 α 2.2 α O MHD MHD 8 a B ϕ 8 b 8 b α 8 MHD 23 a B ϕ b

10 MHD Schwabe H., 1844, AN 21, Carrington R. C., 1859, MNRAS 20, 13 3 Hale G. E., et al., 1919, ApJ 49, Hale G. E., Nicholson S. B., 1925, ApJ 62, Babcock H. D., 1959, ApJ 130, Christensen-Dalsgaard J., et al., 1996, Science 272, Christensen-Dalsgaard J., 2002, RvMP 74, Thompson M. J., et al., 2003, ARA&A 41, Dikpati M., Charbonneau P., 1999, ApJ 518, Dikpati M., Gilman G. A., 2009, SSRv 144, Charbonneau P., 2010, LRSP 7, 3 12 Rempel M., 2006, ApJ 647, Masada Y., Sano T., 2014, PASJ 66, S27 14 Masada Y., Sano T., 2014, ApJL 794, L6 15 Moffatt H. K., 1978, Cambridge University Press 16 Krause F., Rädler K.-H., 1980, Oxford Pergamon Press 17 Baryshnikova I., Shukurov A., 1987, AN 308, Raedler K.-H., Braeuer H.-J., 1987, AN 308, Parker E. N., 1955, ApJ 122, Spruit H. C., et al., 1990, ARA&A 28, Miesch M. S., 2005, LRSP 2, 1 22 Mitra D., et al., 2010, ApJL 719, L1 23 Mabuchi J., Masada Y., Kageyama A., 2015, ApJ 806, Hotta H., et al., 2014, ApJ 786, Ghizaru M., et al., 2010, ApJL 715, L Käpylä P. J., et al., 2012, ApJL 755, L22 27 Nelson N. J., et al., 2013, ApJ 762, Rempel M., Schüssler M., 2001, ApJL 552, L Schüssler M., Baumann I., 2006, A&A 459, Guerrero G., de Gouveia Dal Pino E. M., 2007, A&A 464, 341 Coherent Magnetic Fields Organized in Turbulent Thermal Convections Exploring the Origin of Sunspots Youhei Masada Department of Physics and Astronomy, Aichi University of Education, Kariya, Aichi , Japan Abstract: Solar activities, as is typified by flares and coronal-mass ejections, are caused by explosive releases of massive magnetic energy stored in sunspots, which are the sites of large-scale well-organized magnetic fields generated in the solar interior. Understanding the solar dynamo, which is responsible for the sunspot formation, is one of the outstanding problem in solar physics and is a milestone toward a coherent understanding of magnetic activities in the astrophysical plasma. Here we provide an overview of observed solar magnetic cycles and most promising dynamo model standard scenario which can successfully explain important aspects of the solar cycle. Then we report our recent study on the spontaneous formation of large-scale magnetic fields in turbulent thermal convections, which raises a question about the standard solar dynamo senario based on a hypothesis that large-scale magnetic fields can not be generated in the convection zone

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