Abstract
Magnetic quenching of turbulent thermal diffusivity leads to instability of the large-scale field with the production of spatially isolated regions of enhanced field. This conclusion follows from a linear stability analysis in the framework of mean-field magnetohydrodynamics that allows for thermal diffusivity dependence on the magnetic field. The characteristic growth time of the instability is short compared to the 11-year period of solar activity. The characteristic scale of the increased field regions measures in tens of mega-meters. The instability can produce magnetic inhomogeneities whose buoyant rise to the solar surface forms the solar active regions. The magnetic energy of the field concentrations coincides in order of magnitude with the energy of the active regions.
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References
D. J. Acheson and M. P. Gibbons, Phyl. Trans. Roy. Soc. London A289, 459 (1978).
H.W. Babcock, Astrophys. J. 133, 572 (1961).
P. Caligari, F. Moreno-Insertis, and M. Schüssler, Astrophys. J. 441, 886 (1995).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford: Clarendon Press, 1961).
A. R. Choudhuri, Nature’s Third Cycle (Oxford University Press, 2015).
M. Dasi-Espuig, S. K. Solanki, N. A. Krivova, R. Cameron, and T. Pen˜ uela, Astron. Astrophys. 518, A7 (2010).
S. D’Silva and A. R. Choudhuri, Astron. Astrophys. 272, 621 (1993).
D. V. Erofeev, in Multi-Wavelength Investigation of Solar Activity, IAU Symp. 223, Ed. by A. V. Stepanov, E. E. Benevolenskaya, A. G. Kosovichev (Cambridge, UK: Cambridge Univ. Press, 2004), p. 97.
P. A. Gilman, in Physics of the Sun, Ed. by P. A. Sturrock, Dordrecht, D. Reidel (Publishing Company, 1986), vol. 1, p. 95.
P. A. Gilman and G. A. Glatzmaier, Astrophys. J. Suppl. Ser. 45, 335 (1981).
G. E. Hale, F. Ellerman, S. B. Nicholson, and A. H. Joy, Astrophys. J. 49, 153 (1919).
B. B. Karak, M. Rheinhardt, A. Brandenburg, P. J. Käpylä, and M. J. Käpylä, Astrophys. J. 795, 16 (2014).
A. Khlystova and S. Toriumi, Astrophys. J. 839, 63 (2017).
L. L. Kitchatinov and M. V. Mazur, Solar Phys. 191, 325 (2000).
L. L. Kitchatinov and S. V. Olemskoi, Astron. Lett. 32, 320 (2006).
L. L. Kitchatinov and S. V. Olemskoy, Astron. Lett. 37, 656 (2011).
L. L. Kitchatinov, V. V. Pipin, and G. Rüdiger, Astron. Nachr. 315, 157 (1994).
F. Krause and K.-H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Berlin, Akademie-Verlag, 1980).
R. B. Leighton, Astrophys. J. 156, 1 (1969).
B. W. Lites, A. Skumanich, and V. Martinez Pillet, Astron. Astrophys. 333, 1053 (1998).
M. A. Livshits, G. V. Rudenko, M. M. Katsova, and I. I. Myshyakov, Adv. Space Res. 55, 920 (2015).
E. N. Parker, Cosmical Magnetic Fields (Oxford, Clarendon Press, 1979).
E. N. Parker, Astrophys. J. 283, 343 (1984).
M. Stix, The Sun (Springer, Berlin, 1989).
X. Sun, J. T. Hoeksema, Y. Liu, T. Wiegelmann, K. Hayashi, Q. Chen, and J. Thalmann, Astrophys. J. 748, 77 (2012).
I.Tuominen, A. Brandenburg, D. Moss, and M. Rieutord, Astron. Astrophys. 284, 259 (1994).
M.A. Weber, Y. Fan, and M. S. Miesch, Astrophys. J. 741, 11 (2011).
N. O. Weiss, Proc. Roy. Soc. London A 293, 310 (1966).
T. A. Yousef, A. Brandenburg, and G. Rüdiger, Astron. Astrophys. 411, 321 (2003).
Ya. B. Zel’dovich, Sov. Phys. JETP 4, 460 (1957).
C. Zwaan, in Sunspots: Theory and Observations, Ed. by J. H. Thomas, N. O.Weiss (Kluwer Academic Publishers, 1992), p. 75.
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Russian Text © L.L. Kitchatinov, 2019, published in Pis’ma v Astronomicheskii Zhurnal, 2019, Vol. 45, No. 1, pp. 45–54.
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Kitchatinov, L.L. Large-Scale Magnetic Field Fragmentation in Flux-Tubes Near the Base of the Solar Convection Zone. Astron. Lett. 45, 39–48 (2019). https://doi.org/10.1134/S1063773719010031
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DOI: https://doi.org/10.1134/S1063773719010031