Abstract
From the viewpoint of dynamo theory, periodic behavior of the magnetic field is interpreted as a manifestation of the eigenmode in magnetohydrodynamic equations describing the dynamo. The alternative explanation is that we are dealing with a demonstration of different fluctuations of the dynamo control parameters rather than with a periodic process. A simplified geodynamo model is considered; it is able to reproduce a scale of inversions that is similar to the real scale and a priori does not describe excitations of a periodically varying magnetic field. The analysis shows that, according to the currently available data on the scale of geomagnetic field polarities, the presence of a eigen frequency corresponding to a period of about 50 Ma is not fixed in the geodynamo problem.
Similar content being viewed by others
REFERENCES
Frick, P., Galyagin, D., Hoyt, D.V., Nesme-Ribes, E., Schatten, K.H., Sokoloff, D., and Zakharov, V., Wavelet analysis of solar activity recorded by sunspot groups, Astron. Astrophys., 1997, vol. 328, pp. 670–681.
Galyagin, D.K., Reshetnyak, M.Yu., Sokolov, D.D., and Frick, P.G., Scaling of the geomagnetic field and scales of geomagnetic polarity, Dokl. Earth Sci., 1998, vol. 360, no. 4, pp. 617–620.
Gradstein, F.M., Ogg, J.G., Schmitz, M.D., and Ogg, G.M., The Geologic Time Scale 2012, Oxford: Elsevier, 2012, pp. 85–113.
Hathaway, D.H., The solar cycle, Living Rev. Sol. Phys., 2015, vol. 12, id 4.
Kalashnikov, I.Yu., Sokoloff, D.D., Chechetkin, V.M., Statistics of the geomagnetic dipole reversals based on paleomagnetic observations and simple geodynamo models, Izv., Phys. Solid Earth., 2015, vol. 51, no. 3, pp. 383–391.
Illarionov, E., Sokoloff, D., Arlt, R., and Khlystova, A., Cluster analysis for pattern recognition in solar butterfly diagrams, Astron. Nachr., 2011, vol. 332, pp. 590–596.
Moss, D. and Sokoloff, D., Mode enslavement in a two-layer stellar dynamo, Mon. Not. R. Astron. Soc., 2007, vol. 377, pp. 1597–1604.
Petrova, G.N., Nechaeva, T.B., and Pospelova, G.A., Kharakternye izmeneniya geomagnitnogo polya v proshlom (Characteristic Changes in the Geomagnetic Field in the Past), Moscow: Nauka, 1992.
Sobko, G.S., Zadkov, V.N., Sokoloff, D.D., and Trukhin, V.I.,, Geomagnetic reversals in a simple geodynamo model, Geomagn. Aeron. (Engl. Transl.), 2012, vol. 52, no. 2, pp. 254–260.
Sokoloff, D.D. and Shibalova, A.S., Periodicities in the geomagnetic polarity timescale, Izv., Phys. Solid Earth., 2015, vol. 51, no. 5, pp. 764–767.
Sokoloff, D.D., Stepanov, R.A., and Frick, P.G., Dynamos: from an astrophysical model to laboratory experiments, Phys.-Usp., 2014, vol. 57, no. 3, pp. 292–311.
Usoskin, I.G., Sokoloff, D., and Moss, D., Grand minima of solar activity and the mean-field dynamo, Sol. Phys., 2009, vol. 254, pp. 345–355.
ACKNOWLEDGMENTS
This work was partially supported by the Russian Foundation for Basic Research, projects 18-02-00085 and 18-52-06002.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by M. Samokhina
Rights and permissions
About this article
Cite this article
Sokoloff, D.D., Shibalova, A.S. Traces of Periodicity in the Observational Data on Magnetic Fields of Celestial Bodies and the Dynamo Models. Geomagn. Aeron. 58, 888–892 (2018). https://doi.org/10.1134/S0016793218070198
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793218070198