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Self-Organized Criticality of Solar Magnetism

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Abstract

Self-organization is a property of any nonlinear, dynamic, dissipative system that evolves under the influence of external forces and positive feedback. Self-organization leads to the creation of order from chaos, thus reducing the entropy of the system. As a result, numerous small elements and/or short-lived elements form structures with large spatiotemporal scales. One very important property of a nonlinear, dissipative system is intermittency in space and time, which means that the system is capable of spontaneous transition to a critical state, the so-called state of self-organized criticality (SOC). In this state, small fluctuations can become an impetus for an avalanche of any scale. The object of our research, a constantly evolving convective zone with a magnetic field and turbulent plasma flows, is an ideal example of a nonlinear, dynamic, dissipative system. This review is devoted to the systematization of recent studies on the identification and study of self-organization in the processes of the generation, evolution, and dissipation of magnetic fields on the Sun.

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REFERENCES

  1. Abramenko, V., Yurchyshyn, V., Wang, H., et al., Scaling behavior of structure functions of the longitudinal magnetic field in active regions on the sun, Astrophys. J., 2002, vol. 577, pp. 487–495.

    Article  Google Scholar 

  2. Abramenko, V.I. and Yurchyshyn, V.B., Intermittency and multifractality spectra of the magnetic field in solar active regions, Astrophys. J., 2010, vol. 722, pp. 122–130.

    Article  Google Scholar 

  3. Aschwanden, M., Scholkmann, F., Béthune, W., et al., Order out of randomness: Self-organization processes in astrophysics, Space Sci. Rev., 2018, vol. 214, pp. 55–130.

    Article  Google Scholar 

  4. Baryshev, Yu. and Teerikorpi, P., Discovery of Cosmic Fractals, World Scientific, 2002.

    Book  Google Scholar 

  5. Brandenburg, A., Sokoloff, D., and Subramanian, K., Current status of turbulent dynamo theory: From large-scale to small-scale dynamos, Space Sci. Rev., 2012, vol. 169, nos. 1–4, pp. 123–157.

    Article  Google Scholar 

  6. Consolini, G., Tozzi, R., de Michelis, P., Complexity in the sunspot cycle, Astron. Astrophys., 2009, vol. 506, pp. 1381–1391.

    Article  Google Scholar 

  7. Feder, J., Fractals, New York: Plenum Press, 1988.

    Book  Google Scholar 

  8. Gershberg, R.E., Aktivnost’ solnechnogo tipa zvezd Glavnoi posledovatel’nosti (Solar-Type Activity in Main-Sequence Stars), Simferopol: Antikva, 2015, ch. 2.5.1.

  9. Kapyla, P.J., Brandenburg, A., Kleeorin, N., et al., Negative effective magnetic pressure in turbulent convection, Mon. Not. R. Astron. Soc., 2012, vol. 422, pp. 2465–2473.

    Article  Google Scholar 

  10. Kitchatinov, L.L., The solar dynamo: Inferences from observations and modeling, Geomagn. Aeron. (Engl. Transl.), 2014, vol. 54, no. 7, pp. 867–876.

  11. Knyazeva, I.S., Makarenko, N.G., Makarenko, I., et al., Analysis of the solar magnetograms evolution using a spectral gap of critical nets, J. Phys.: Conf. Ser., 2016, vol. 738, pp. 1–7.

    Google Scholar 

  12. Krishan, V. and Mogilevskij, E., Self-organization processes on the Sun: The heliosynergetics, Proc. Int. Astron. Union, 1990, vol. 142, pp. 125–133.

    Article  Google Scholar 

  13. Lawrence, J., Ruzmaikin, A., and Cadavid, A., Multifractal measure of the solar magnetic field, Astrophys. J., 1993, vol. 417, pp. 805–811.

    Article  Google Scholar 

  14. McAteer, R.T.J., Gallagher, P., and Ireland, J., Statistics of active region complexity: A large-scale fractal dimension survey, Astrophys. J., 2005, vol. 631, pp. 628–635.

    Article  Google Scholar 

  15. Nagovitsyn, Yu.A., Pevtsov, A.A., and Osipova, A.A., Two populations of sunspots: Differential rotation, Astron. Lett., 2018, vol. 44, no. 3, pp. 202–211.

    Article  Google Scholar 

  16. Nelson, N.J., Brown, B.P., Brun, A.S., et al., Magnetic wreaths and cycles in convective dynamo, Astrophys. J., 2013, vol. 762, pp. 73–92.

    Article  Google Scholar 

  17. Olemskoy, S.V., Choudhuri, A.R., and Kitchatinov, L.L., Fluctuations in the alpha-effect and grand solar minima, Astron. Rep., 2013, vol. 57, pp. 458–467.

    Article  Google Scholar 

  18. Pustil’nik, L.A., Solar flare phenomena as phase transition caused by frustration of current percolation, Space Sci., 1998, vol. 264, pp. 171–182.

    Article  Google Scholar 

  19. Sokoloff, D., Khlystova, A., and Abramenko, V., Solar small-scale dynamo and polarity of sunspot groups, Mon. Not. R. Astron. Soc., 2015, vol. 451, pp. 1522–1527.

    Article  Google Scholar 

  20. Stenflo, J.O., Scaling laws for magnetic fields on the quiet Sun, Astron. Astrophys., 2012, vol. 541, id A17.

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Funding

The work was supported by the Russian Science Foundation, project No. 18-12-00131.

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  1. Crimean Astrophysical Observatory, Russian Academy of Sciences, Nauchny, Crimea, Russia

    V. I. Abramenko

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  1. V. I. Abramenko
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Correspondence to V. I. Abramenko.

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Abramenko, V.I. Self-Organized Criticality of Solar Magnetism. Geomagn. Aeron. 60, 801–803 (2020). https://doi.org/10.1134/S0016793220070026

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