Abstract
The process of polarity reversal of a magnetic dipole is considered using the two-dimensional model of the mean-field with random α-effect. The correlation of the sequence of fluctuations of α and the evolution of a magnetic dipole is investigated. It was shown that during fluctuations, which subsequently lead to inversions of the magnetic field, the dynamo system can switch to the mode of frequent changes in the dipole polarity with a lowered magnetic field, as well as to the temporal damping mode. Since the characteristic decay and generation times are different, a temporary asymmetry of the magnetic field arises during the reversal: the time of reduction of the magnetic dipole is several times longer than its growth time. The asymmetry for the geomagnetic field over the last five inversions is 4 : 1, which is close to the simulation results.
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For this estimate, it is convenient to use the calculator for a normal distribution at http://stattrek.com/online-calculator/normal.aspx.
REFERENCES
Anufriev, A.P., Reshetnyak, M.Yu., and Sokolov, D.D., Evaluation of the dynamo number in the model of the turbulent α-effect for the liquid core of the Earth, Geomagn. Aeron., 1997, vol. 37, no. 5, pp. 141–146.
Braginskii, S.I., An almost axially symmetric model of the Earth’s hydromagnetic dynamo, Geomagn. Aeron., 1978, vol. 18, no. 2, pp. 340–351.
Braginsky, S.I., Magnetic waves in the core of the Earth, Geophys. Astrophys. Fluid Dyn., 1980, vol. 14, pp. 189–208.
Glatzmaier, G.A., Coe, R.S., Hongre, L., and Roberts, P.H., The role of the Earth’s mantle in controlling the frequency of geomagnetic reversals, Nature, 1999, vol. 401, pp. 885–890.
Gubbins, D., The distinction between geomagnetic excursions and reversals, Geophys. J. Int., 1999, vol. 137, pp. F1–F3.
Hoyng, P., Helicity fluctuations in mean field theory: an explanation for the variability of the solar cycle? Astron. Astrophys., 1993, vol. 272, pp. 321–339.
Jacobs, J.A., Reversals of the Earth’s Magnetic Field, Cambridge: Cambridge Univ. Press, 1994.
Krause, F. and Rädler, K.-H., Mean-Field Magnetohydrodynamics and Dynamo Theory, Oxford: Pergamon, 1980.
Mori, N., Schmitt, D., Wicht, J., Ferriz-Mas, A., Mouri, H., Nakamichi, A., and Morikawa, M., Domino model for geomagnetic field reversals, Phys. Rev. E, 2013, vol. 87, p. 012 108.
Reshetnyak, M.Yu., Parker’s model in geodynamo, Magnetohydrodynamics, 2016a, vol. 52, no. 1, pp. 181–190.
Reshetnyak, M.Yu., Growth of the inner core in the mean-field dynamo model, Russ. J. Earth Sci., 2016b, vol. 16, p. ES6003.
Reshetnyak, M.Yu., Tuning of the mean-field geodynamo model, Izv., Phys. Solid Earth, 2017a, vol. 53, no. 4, pp. 581–587.
Reshetnyak, M.Yu., Time asymmetry of magnetic field variations in dynamo models, Geomagn. Aeron. (Engl. Transl.), 2017b, vol. 57, no. 3, pp. 369–374.
Reshetnyak, M.Yu. and Hejda, P., Heat flux modulation in Domino dynamo model, Open J. Geol. B, 2013, vol. 3, no. 2, pp. 55–59.
Reshetnyak, M.Yu. and Pavlov, V.E., Evolution of the dipole geomagnetic field. Observations and models, Geomagn. Aeron. (Engl. Transl.), 2016, vol. 56, no. 1, pp. 110–124.
Roberts, P.H. and King, E.M., On the genesis of the Earth’s magnetism, Rep. Prog. Phys., 2013, vol. 76, p. 096 801.
Valet, J.-P., Meynadier, L., and Guyodo, Y., Geomagnetic dipole strength and reversal rate over the past two million years, Nature, 2005, vol. 435, pp. 802–805.
Zieger, L.B. and Constable, C.G., Asymmetry in growth and decay of the geomagnetic dipole, Earth Planet. Sci. Lett., 2011, vol. 312, pp. 300–304.
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This work was supported by the Russian Scientific Foundation (project 19-47-04110).
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Translated by E. Seifina
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Reshetnyak, M.Y. Collapse and Recovery of the Magnetic Field During Reversals. Sol Syst Res 53, 254–260 (2019). https://doi.org/10.1134/S0038094619040087
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DOI: https://doi.org/10.1134/S0038094619040087