Abstract
It is commonly accepted that the magnetic field of the Sun and other stars is generated through the operation of the dynamo mechanism which is based on taking into account the joint action of the α effect and differential rotation. Based on such scheme, a dynamic system was constructed in the case of a star dynamo in a two-layer medium with allowance for meridional fluxes and layer thickness for simulating the double cycle corresponding to the simultaneous presence of 22-year and quasi-biennial oscillations of the magnetic field. It is shown how the layer thickness has an effect on the threshold value of the dynamo number necessary for generating the oscillating magnetic field. At ranges of dynamo numbers that are equal to the solar ones, as the thicknesses of the inner and outer layers are equal to 1/6 of the solar radius, there exists a region of meridional circulation values when there appears a double cycle at a meridional circulation, which is equal in the absolute value in both the layers and has opposite directions in these layers.
Similar content being viewed by others
References
Benevolenskaya, E., Double magnetic cycle of the solar activity, Sol. Phys., 1995, vol. 161, no. 1, pp. 1–8.
Choudhuri, A.R., Schussler, M., and Dikpati, M., The solar dynamo with meridional circulation, Astrophys. J., 1995, vol. 303, pp. 29–32.
Dikpati, M. and Gilman, P.A., Flux-transport dynamos with α-effect from global instability of tachocline differential rotation: A solution for magnetic parity selection in the Sun, Astrophys. J., 2001, vol. 559, pp. 428–442.
Kosovichev, A.G., Pipin, V.V., and Zhao, J., Helioseismic constraints and paradigm shift in solar dynamo, arXiv:1402.1901.2013.
Krause, F. and Rädler, K.-H., Mean-Field Magnetohydrodynamics and Dynamo Theory, Berlin: Akademie-Verlag, 1980.
Krivova, N.A. and Solanki, S.K., The 1.3-year and 156-day periodicities in sunspot data: wavelet analysis suggests a common origin, Astron. Astrophys., 2002, vol. 394, pp. 701–706.
Mursula, K. and Vilppola, J.H., Fluctuations of the solar dynamo observed in the solar wind and interplanetary magnetic field at 1 au and in the outer heliosphere, Sol. Phys., 2004, vol. 221, no. 2, pp. 337–349.
Mursula, K. and Zieger, B., Simultaneous occurrence of mid-term periodicities in solar wind speed, geomagnetic activity and cosmic rays, Proc. 26th International Cosmic Ray Conference, Kieda, D., Salamon, M., and Dingus, B., Eds., Salt Lake City, 1999, vol. 7, pp. 123–126.
Mursula, K. and Zieger, B., The 1.3-year variation in solar wind speed and geomagnetic activity, Adv. Space Res., 2000, vol. 25, pp. 1939–1942.
Mursula, K., Zieger, B., and Vilppola, J.H., Mid-term quasi-periodicities in geomagnetic activity during the last 15 solar cycles: Connection to solar dynamo strength—To the memory of Karolen I. Paularena (1957–2001), Sol. Phys., 2003, vol. 221, no. 1, pp. 201–207.
Obridko, V.N. and Shelting, B.D., Occurrence of the 1.3-year periodicity in the large-scale solar magnetic field for 8 solar cycles, Adv. Space Res., 2007, vol. 40, pp. 1006–1014.
Obridko, V.N., Sokoloff, D.D., Kuzanyan, K.M., Shelting, B.D., and Zakharov, V.G., Solar cycle according to mean magnetic field data, Mon. Not. R. Astron. Soc., 2006, vol. 365, no. 3, pp. 827–832.
Parker, E.N., Hydromagnetic dynamo models, Astrophys. J., 1955, vol. 122, pp. 293–314.
Parker, E.N., A solar dynamo surface wave at the interface between convection and nonuniform rotation, Astrophys. J., 1993, vol. 408, no. 2, pp. 707–719.
Paularena, K.I., Szabo, A., and Richardson, J.D., Coincident 1.3-year periodicities in the geomagnetic index and the solar wind, Geophys. Res. Lett., 1995, vol. 221, no. 21, pp. 3001–3004.
Popova, E.P., A low-mode dynamo with meridional circulation and dipolar symmetry of the magnetic field, Astron. Rep., 2012, vol. 56, no. 10, pp. 784–789.
Popova, E.P. and Yukhina, N.A., The quasi-biennial cycle of solar activity and dynamo theory, Astron. Lett., 2013, vol. 39, no. 10, pp. 729–735.
Popova, E.P., Reshetnyak, M.Yu., and Sokolov, D.D., Meridional circulation and dynamo-wave propagation, Astron. Rep., 2008, vol. 52, no. 2, pp. 157–163.
Popova, H. and Potemina, K.A., Modeling of the solar activity double cycle using dynamical systems, Geomagn. Aeron. (Engl. Transl.), 2013, vol. 53, no. 8, pp. 941–944.
Popova, H., Zharkov, S., and Zharkova, V., Probing latitudinal variations of the solar magnetic field in cycles 21–23 by Parker’s two-layer dynamo model with meridional circulation, Ann. Geophys., 2013, vol. 31, pp. 2023–2038.
Richardson, J.D., Paularena, K.I., Belcher, J.W., and Lazarus, A.J., Solar wind oscillations with a 1.3 year period, Geophys. Res. Lett., 1994, vol. 21, no. 14, pp. 1559–1560.
Roberts, P.H. and Stix, M., α-effect dynamos by the Bullard-Gellman formalism, Astron. Astrophys., 1972, vol. 18, pp. 453–466.
Ruzmaikin, A.A., The solar cycle as a strange attractor, Comments Astrophys., 1981, vol. 9, no. 2, pp. 85–93.
Sokoloff, D.D. and Nefedov, S.N., Parker’s dynamo as specific behavior of a dynamical system, Astron. Rep., 2010, vol. 54, no. 3, pp. 247–253.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Popova, E.P., Potemina, K.A. & Yukhina, N.A. Double cycle of solar activity in a two-layer medium. Geomagn. Aeron. 54, 877–881 (2014). https://doi.org/10.1134/S0016793214070111
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793214070111