Abstract
The three-dimensional dynamo model in the fast-rotating plane layer heated from below is considered. The transition from the linear generation of the magnetic field to the nonlinear generation is studied. With the use of the wavelet analysis, it is demonstrated how the spatial spectra of the kinetic and magnetic energies, as well as the hydrodynamic, magnetic, cross-, and current helicity, vary in time. The scenarios of the suppression of α-effect (α-quenching) by the magnetic field are suggested.
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References
Berger, M.A., Rigorous new limits on magnetic helicity dissipation in the solar corona, Geophys. Astrophys. Fluid Dyn., 1984, vol. 30, pp. 79–104.
Brandenburg, A. and Dobler, W., Hydromagnetic turbulence in computer simulations, Comput. Phys. Commun., 2002, vol. 147, pp. 471–475.
Brandenburg, A. and Subramanian, K., Astrophysical magnetic fields and nonlinear dynamo theory, Phys. Rep., 2005, vol. 417, pp. 1–209.
Frick, P.G., Turbulentnost’: podkhody i modeli (Turbulence: Approaches and Models), 2nd ed., Moscow-Izhevsk: Regulyarnaya Khaoticheskaya Mekhanika, 2010.
Frick, P. and Stepanov, R., Long-term free decay of MHD turbulence, Europhys. Lett., 2010, vol. 92, no. 3, pp. 34007–34013.
Getling, A.V, Konvektsiya Releya-Benara. Struktury i dinamika (Rayleigh-Bénard Convection: Structures and Dynamics), Moscow: Editorial URSS, 1999.
Gubbins, D. and Roberts, P., Magnetohydrodynamics of the Earth’s Core in Geomagnetism, Vol. 2, Jacobs, J.A., London: Academic Press, 1987.
Hejda, P. and Reshetnyak, M., Nonlinearity in dynamo, Geophys. Astrophys. Fluid Dyn., 2010, vol. 104, no. 6, pp. 25–34.
Krause, F. and Rädler, K.-H., Mean Field Magnetohydrodynamics and Dynamo Theory, Berlin: Akademie-Verlag, 1980.
Moffatt, H.K., Magnetic Field Generation in Electrically Conducting Fluids, Cambridge: Cambridge University Press, 1978.
Pouquet, A., Frisch, U., and Leorat, J., Strong MHD helical turbulence and the nonlinear dynamo effect, J. Fluid Mech., 1976, vol. 77, pp. 321–354.
Reshetnyak, M.Yu. and Pavlov, V.E., Different Regimes of the Geomagnetic Field Generation during the Last 165 Ma, Dokl. Earth Sci., 2000, vol. 373, no. 5, pp. 855–858.
Reshetnyak, M.Yu., The alfa-effect in the presence of rapid rotation, Dokl. Phys., 2012, vol. 57, no. 6, pp. 224–228.
Reshetnyak, M.Yu., Modelirovanie v geodinamo (Modeling in Geodynamo), Moscow: Lambert Academic Publishing, 2013.
Rudiger, G. and Hollerbach, R., The Magnetic Universe: Geophysical and Astrophysical Dynamo Theory, Weinheim: Wiley-VCH, 2004.
Vainshtein, S.I., Zel’dovich, Ya.B., and Ruzmaikin, A.A., Turbulentnoe dinamo v astrofizike (Turbulent Dynamo in Astrophysics), Moscow: Nauka, 1980.
Zel’dovich, Ya.B., Ruzmaikin, A.A., and Sokolov, D.D., Magnitnye polya v astrofizike (Magnetic Fields in Astrophysics), Moscow-Izhevsk: RKhD, 2006.
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Original Russian Text © M.Yu. Reshetnyak, 2014, published in Fizika Zemli, 2014, No. 4, pp. 8–14.
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Reshetnyak, M.Y. Scale-to-scale stabilization of the magnetic field in the dynamo models. Izv., Phys. Solid Earth 50, 467–473 (2014). https://doi.org/10.1134/S1069351314040144
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DOI: https://doi.org/10.1134/S1069351314040144