Abstract
The possibility of non-axisymmetric (kink) instabilities of a toroidal field seated in the tachocline is much discussed in the literature. In this work, the basic properties of kink and quasi-interchange instabilities, produced by mixed toroidal and poloidal configuration, will be briefly reviewed. In particular, it will be shown that the unstable modes are strongly localized near the Equator and not near the Poles as often claimed in the literature. Based on the results of recent numerical simulations, it is argued that a non-zero helicity can already be produced at a non-linear level. A mean-field solar dynamo is then constructed with a positive α-effect in the overshoot layer localized near the Equator, and a meridional circulation with deep return flow. Finally, the possibility that the solar cycle is driven by an αΩ dynamo generated by the negative subsurface shear in the supergranulation layer will also be discussed.
Invited talk.
Solar Dynamics and Magnetism from the Interior to the Atmosphere
Guest Editors: R. Komm, A. Kosovichev, D. Longcope, and N. Mansour
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bernstein, I.B., Frieman, E.A., Kruskal, M.D., Kulsrud, R.M.: 1958, Proc. Roy. Soc. London A 244, 17.
Braithwaite, J., Nordlund, A.: 2006, Astron. Astrophys. 450, 1077.
Bonanno, A.: 2011, arXiv:1112.4929.
Bonanno, A., Elstner, D., Belvedere, G.: 2006, Astron. Nachr. 327, 680.
Bonanno, A., Urpin, V.: 2008a, Astron. Astrophys. 477, 35.
Bonanno, A., Urpin, V.: 2008b, Astron. Astrophys. 488, 1.
Bonanno, A., Urpin, V.: 2011, Phys. Rev. E 84, 056310.
Bonanno, A., Urpin, V.: 2012, Astrophys. J. 747, 137.
Bonanno, A., Elstner, D., Rüdiger, G., Belvedere, G.: 2002, Astron. Astrophys. 390, 673.
Bonanno, A., Brandenburg, A., Del Sordo, F., Mitra, D.: 2012, Phys. Rev. E 86, 016313. arXiv:1204.0081.
Brandenburg, A.: 2005, Astrophys. J. 625, 539.
Chatterjee, P., Nandy, D., Choudhuri, A.R.: 2004, Astron. Astrophys. 427, 1019.
Chatterjee, P., Mitra, D., Rheinhardt, M., Brandenburg, A.: 2011, Astron. Astrophys. 534, 46.
Del Sordo, F., Bonanno, A., Brandenburg, A., Dhrubaditya, M.: 2011, In: Mandrini, C.H. (ed.) Comparative Magnetic Minima: Characterizing Quiet Times in the Sun and Star, IAU Symp. 286, Cambridge University Press, Cambridge. arXiv:1111.1742.
Dikpati, M., Charbonneau, P.: 1999, Astrophys. J. 518, 508.
Dikpati, M., Gilman, P.A.: 2001, Astrophys. J. 559, 428.
Dikpati, M., Corbad, T., Thompson, M.J., Gilman, P.A.: 2002, Astrophys. J. 575, L41.
Duez, V., Mathis, S.: 2010, Astrophys. J. 517, 58.
Durney, B.R.: 2000, Astrophys. J. 528, 486.
Gellert, M., Rüdiger, G., Hollerbach, R.: 2011, Mon. Not. Roy. Astron. Soc. 414, 2696.
Ferriz-Mas, A., Schmitt, D., Schüssler, M.: 1994, Astron. Astrophys. 289, 949.
Goedbloed, H., Poedts, S.: 2004, Principles of Magnetohydrodynamics, Cambridge University Press, Cambridge.
Gruzinov, A.V., Diamond, P.H.: 1994, Phys. Rev. Lett. 72, 1651.
Guerrero, G., de Gouveia Dal Pino, E.M.: 2008, Astron. Astrophys. 485, 267.
Jouve, L., et al.: 2008, Astron. Astrophys. 483, 949960.
Küker, M., Rüdiger, G., Schultz, M.: 2001, Astron. Astrophys. 374, 301.
Kitchatinov, L.: 2008, Astron. Rep. 52, 247.
Kitchatinov, L., Rüdiger, G.: 2008, Astron. Astrophys. 478, 1.
Kosovichev, A.G.: 1996, Astrophys. J. 269, 61.
Parker, E.N.: 1955, Astrophys. J. 122, 293.
Parker, E.N.: 1993, Astrophys. J. 408, 707.
Pipin, V.V., Kosovichev, A.G.: 2011a, Astrophys. J. 727, L45.
Pipin, V.V., Kosovichev, A.G.: 2011b, Astrophys. J. 738, 104.
Rüdiger, G., Kitchatinov, L., Elstner, D.: 2012, Mon. Not. Roy. Astron. Soc. 425, 2267. arXiv:1107.2548.
Schou, J.: 1991, In: Gough, D., Toomre, J. (eds.) Challenges to Theories of the Structure of Moderate-Mass Stars, Lecture Notes Phys. 388, Springer, Berlin, 81.
Silant’ev, N.A.: 2000, Astron. Astrophys. 364, 449.
Spiegel, E.A., Zahn, J.-P.: 1992, Astron. Astrophys. 265, 106.
Spruit, H.: 1999, Astron. Astrophys. 349, 189.
Steenbeck, M., Krause, F., Rädler, K.H.: 1966, Z. Naturforsch. 21a, 369.
Tayler, R.J.: 1973a, Mon. Not. Roy. Astron. Soc. 161, 365.
Tayler, R.J.: 1973b, Mon. Not. Roy. Astron. Soc. 163, 77.
Tayler, R.J.: 1980, Mon. Not. Roy. Astron. Soc. 191, 151.
Zahn, J.-P., Brun, A.S., Mathis, S.: 2007, Astron. Astrophys. 474, 145.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Bonanno, A. (2012). Solar Dynamo and Toroidal Field Instabilities. In: Mansour, N.N., Kosovichev, A.G., Komm, R., Longcope, D. (eds) Solar Dynamics and Magnetism from the Interior to the Atmosphere. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-8005-2_12
Download citation
DOI: https://doi.org/10.1007/978-1-4899-8005-2_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4899-8004-5
Online ISBN: 978-1-4899-8005-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)