53
Views
1
CrossRef citations to date
0
Altmetric
Articles

Can the observable solar activity spectrum be reproduced by a simple dynamo model?

ORCID Icon, ORCID Icon & ORCID Icon
Pages 437-454 | Received 10 Apr 2023, Accepted 06 Sep 2023, Published online: 20 Oct 2023

References

  • Babcock, H.W., The topology of the Sun's magnetic field and the 22-year cycle. Astrophys. J. 1961, 133, 572.
  • Baliunas, S., Frick, P., Moss, D., Popova, E., Sokoloff, D. and Soon, W., Anharmonic and standing dynamo waves: theory and observation of stellar magnetic activity. Mon. Not. R. Astron. Soc. 2006, 365, 181–190.
  • Bazilevskaya, G., Broomhall, A.M., Elsworth, Y. and Nakariakov, V., A combined analysis of the observational aspects of the quasi-biennial oscillation in solar magnetic activity. Space Sci. Rev. 2014, 186, 359–386.
  • Benevolenskaya, E.E., Double magnetic cycle of solar activity. Sol. Phys. 1995, 161, 1–8.
  • Brandenburg, A. and Sokoloff, D., Local and nonlocal magnetic diffusion and alpha-effect tensors in shear flow turbulence. Geophys. Astrophys. Fluid Dyn. 2002, 96, 319–344.
  • Brandenburg, A. and Subramanian, K., Astrophysical magnetic fields and nonlinear dynamo theory. Phys. Rep. 2005, 417, 1–209.
  • Cameron, R.H. and Schüssler, M., Understanding solar cycle variability. Astrophys. J. 2017, 843, 111.
  • Cameron, R.H. and Schüssler, M., Solar activity: periodicities beyond 11 years are consistent with random forcing. Astron. Astrophys. 2019, 625, A28.
  • Choudhuri, A.R. and Karak, B.B., Origin of grand minima in sunspot cycles. Phys. Rev. Lett. 2012, 109, 171103.
  • Dikpati, M. and Gilman, P.A., Flux-transport solar dynamos. Space Sci. Rev. 2009, 144, 67–75.
  • 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, 328, 670–681.
  • Frick, P., Okatev, R. and Sokoloff, D., Spectral properties of low-order dynamo systems. Russian J. Nonlin. Dyn. 2022, 18, 289–296.
  • Hathaway, D.H., The solar cycle. Living Rev. Sol. Phys. 2010, 7, 1.
  • Hoyng, P., Helicity fluctuations in mean field theory: an explanation for the variability of the solar cycle? Astron. Astrophys. 1993, 272, 321.
  • Inceoglu, F., Simoniello, R., Arlt, R. and Rempel, M., Constraining non-linear dynamo models using quasi-biennial oscillations from sunspot area data. Astron. Astrophys. 2019, 625, A117.
  • Karak, B.B., Jiang, J., Miesch, M.S., Charbonneau, P. and Choudhuri, A.R., Flux transport dynamos: from kinematics to dynamics. Space Sci. Rev. 2014, 186, 561–602.
  • Kitchatinov, L. and Nepomnyashchikh, A., How supercritical are stellar dynamos, or why do old main-sequence dwarfs not obey gyrochronology? Mon. Not. R. Astron. Soc. 2017, 470, 3124–3130.
  • Kitchatinov, L.L. and Olemskoy, S.V., Dynamo model for grand maxima of solar activity: can superflares occur on the Sun? Mon. Not. R. Astron. Soc. 2016, 459, 4353–4359.
  • Krause, F. and Rädler, K.H., Mean-field Magnetohydrodynamics and Dynamo Theory, 1980. (Oxford: Pergamon Press).
  • Kuzanyan, K.M. and Sokoloff, D.D., A dynamo wave in an inhomogeneous medium. Geophys. Astrophys. Fluid Dyn. 1995, 81, 113–129.
  • Mininni, P.D., Gomez, D.O. and Mindlin, G.B., Simple model of a stochastically excited solar dynamo. Sol. Phys. 2001, 201, 203–223.
  • Moss, D., Sokoloff, D., Usoskin, I. and Tutubalin, V., Solar grand minima and random fluctuations in dynamo parameters. Sol. Phys. 2008, 250, 221.
  • Nefedov, S.N. and Sokoloff, D.D., Parker's dynamo as specific behavior of a dynamical system. Astron. Rep. 2010, 54, 247–253.
  • Nigro, G., Carbone, V. and Primavera, L., Simplified model for an α2−ω dynamo fed by dynamical evolution of the zonal shear. Mon. Not. R. Astron. Soc. 2013, 433, 2206–2214.
  • Obridko, V.N., Pipin, V.V., Sokoloff, D. and Shibalova, A.S., Solar large-scale magnetic field and cycle patterns in solar dynamo. Mon. Not. R. Astron. Soc. 2021, 504, 4990–5000.
  • Ossendrijver, A.J.H. and Hoyng, P., Stochastic and nonlinear fluctuations in a mean field dynamo. Astron. Astrophys. 1996, 313, 959–970.
  • Parker, E.N., Hydromagnetic dynamo models. Astrophys. J. 1955, 122, 293.
  • Peristykh, A.N. and Damon, P.E., Persistence of the Gleissberg 88-year solar cycle over the last ∼12,000 years: Evidence from cosmogenic isotopes. J. Geophys. Res. 2003, 108, 1003.
  • Plunian, F., Sarson, G.R. and Stepanov, R., Deciphering solar turbulence from sunspots records. Mon. Not. R. Astron. Soc. 2009, 400, L47–L51.
  • Rädler, K.H. and Wiedemann, E., Numerical experiments with a simple nonlinear mean-field dynamo model. Geophys. Astrophys. Fluid Dyn. 1989, 49, 71–79.
  • Ruzmaikin, A.A., The solar cycle as a strange attractor. Comments Astrophys. 1981, 9, 85–93.
  • Schmitt, D. and Schüssler, M., Non-linear dynamos. I-one-dimensional model of a thin layer dynamo. Astron. Astrophys. 1989, 223, 343–351.
  • Simoniello, R., Jain, K., Tripathy, S.C., Turck-Chièze, S., Baldner, C., Finsterle, W., Hill, F. and Roth, M., The quasi-biennial periodicity as a window on the solar magnetic dynamo configuration. Astrophys. J. 2013, 765, 100.
  • Sokoloff, D., Fioc, M. and Nesme-Ribes, E., Asymptotic properties of dynamo waves. Magnetohydrodynamics 1996, 31, 18–37.
  • Sokoloff, D.D., Shibalova, A.S., Obridko, V.N. and Pipin, V.V., Shape of solar cycles and mid-term solar activity oscillations. Mon. Not. R. Astron. Soc. 2020, 497, 4376–4383.
  • Soon, W.W.H. and Yaskell, S.H., The Maunder Minimum and the Variable Sun-Earth Connection, 2003 (Singapore: World Scientific Publishing).
  • Stix, M., The Sun: An Introduction, 2004 (Berlin: Springer-Verlag).
  • Tobias, S.M., Weiss, N.O. and Kirk, V., Chaotically modulated stellar dynamos. Mon. Not. R. Astron. Soc. 1995, 273, 1150–1166.
  • Tout, C.A. and Pringle, J.E., Accretion disc viscosity: a simple model for a magnetic dynamo. Mon. Not. R. Astron. Soc. 1992, 259, 604–612.
  • Usoskin, I.G., A history of solar activity over millennia. Living Rev. Sol. Phys. 2017, 14, 3.
  • Vaquero, J.M., Svalgaard, L., Carrasco, V.M.S., Clette, F., Lefèvre, L., Gallego, M.C., Arlt, R., Aparicio, A.J.P., Richard, J.G. and Howe, R., A revised collection of sunspot group numbers. Sol. Phys. 2016, 291, 3061–3074.
  • Yokoi, N., Schmitt, D., Pipin, V. and Hamba, F., A new simple dynamo model for stellar activity cycle. Astrophys. J. 2016, 824, 67.
  • Zaqarashvili, T.V., Carbonell, M., Oliver, R. and Ballester, J.L., Quasi-biennial oscillations in the solar tachocline caused by magnetic Rossby wave instabilities. Astrophys. J. Lett. 2010, 724, L95–L98.
  • Zhang, H., Sakurai, T., Pevtsov, A., Gao, Y., Xu, H., Sokoloff, D.D. and Kuzanyan, K., A new dynamo pattern revealed by solar helical magnetic fields. Mon. Not. R. Astron. Soc. 2010, 402, L30–L33.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.