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The magnetic helicity density patterns from non-axisymmetric solar dynamo

Part of: Focus on Plasma Astrophysics PLA Topological Methods in MHD, Fluids, and Plasmas

Published online by Cambridge University Press:  04 February 2021

Valery V. Pipin Open the ORCID record for Valery V. Pipin [Opens in a new window]
Valery V. Pipin*
Affiliation:
Institute for Solar-Terrestrial Physics, PO Box 291, Lermontov St., 126a, Irkutsk664033, Russia
*
†Email address for correspondence: pip@iszf.irk.ru
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Abstract

We study the helicity density patterns which can result from the emerging bipolar regions. Using the relevant dynamo model and the magnetic helicity conservation law we find that the helicity density patterns around the bipolar regions depend on the configuration of the ambient large-scale magnetic field, and in general they show a quadrupole distribution. The position of this pattern relative to the equator can depend on the tilt of the bipolar region. We compute the time–latitude diagrams of the helicity density evolution. The longitudinally averaged effect of the bipolar regions shows two bands of sign for the density distributions in each hemisphere. Similar helicity density patterns are provided by the helicity density flux from the emerging bipolar regions subjected to surface differential rotation.

Keywords

astrophysical plasmasplasma simulationspace plasma physics
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 1 , February 2021 , 775870101
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Bao, S. & Zhang, H. 1998 Patterns of current helicity for the twenty-second solar. Astrophys. J. 496, L43–L46.CrossRefGoogle Scholar
Berger, M. A. & Field, G. B. 1984 The topological properties of magnetic helicity. J. Fluid Mech. 147, 133–148.CrossRefGoogle Scholar
Berger, M. A. & Hornig, G. 2018 A generalized poloidal-toroidal decomposition and an absolute measure of helicity. J. Phys. A: Math. Gen. 51, 495501.CrossRefGoogle Scholar
Berger, M. A. & Ruzmaikin, A. 2000 Rate of helicity production by solar rotation. J. Geophys. Res. 105, 10481–10490.CrossRefGoogle Scholar
Bigazzi, A. & Ruzmaikin, A. 2004 The sun's preferred longitudes and the coupling of magnetic dynamo modes. Astrophys. J. 604, 944–959.CrossRefGoogle Scholar
Blackman, E. G. & Brandenburg, A. 2003 Doubly helical coronal ejections from dynamos and their role in sustaining the solar cycle. Astrophys. J. Lett. 584, L99–L102.CrossRefGoogle Scholar
Blackman, E. G. & Thomas, J. H. 2015 Explaining the observed relation between stellar activity and rotation. Mon. Not. R. Astron. Soc. 446, L51–L55.CrossRefGoogle Scholar
Brandenburg, A. 2018 Advances in mean-field dynamo theory and applications to astrophysical turbulence. J. Plasma Phys. 84, 735840404.CrossRefGoogle Scholar
Brandenburg, A., Kleeorin, N. & Rogachevskii, I. 2013 Self-assembly of shallow magnetic spots through strongly stratified turbulence. Astrophys. J. 776, L23.CrossRefGoogle Scholar
Brandenburg, A., Petrie, G. J. D. & Singh, N. K. 2017 Two-scale analysis of solar magnetic helicity. Astrophys. J. 836, 21.CrossRefGoogle Scholar
Brandenburg, A. & Subramanian, K. 2005 Astrophysical magnetic fields and nonlinear dynamo theory. Phys. Rep. 417, 1–209.CrossRefGoogle Scholar
Cameron, R. H. & Schüssler, M. 2017 a An update of Leighton's solar dynamo model. Astron. Astrophys. 599, A52.CrossRefGoogle Scholar
Cameron, R. H. & Schüssler, M. 2017 b Understanding solar cycle variability. Astrophys. J. 843, 111.CrossRefGoogle Scholar
Charbonneau, P. 2011 Dynamo models of the solar cycle. Living Rev. Sol. Phys. 2, 2.Google Scholar
Ferriz-Mas, A., Schmitt, D. & Schuessler, M. 1994 A dynamo effect due to instability of magnetic flux tubes. Astron. Astrophys. 289, 949–956.Google Scholar
Fisher, G. H., Longcope, D. W., Linton, M. G., Fan, Y. & Pevtsov, A. A. 1999 The origin and role of twist in active regions. In Stellar Dynamos: Nonlinearity and Chaotic Flows (ed. M. Nunez & A. Ferriz-Mas), Astronomical Society of the Pacific Conference Series, vol. 178, p. 35.Google Scholar
Frick, P., Sokoloff, D., Stepanov, R., Pipin, V. & Usoskin, I. 2020 Spectral characteristic of mid-term quasi-periodicities in sunspot data. Mon. Not. R. Astron. Soc. 491 (4), 5572–5578.CrossRefGoogle Scholar
Hawkes, G. & Yeates, A. R. 2019 Hemispheric injection of magnetic helicity by surface flux transport. Astron. Astrophys. 631, A138.CrossRefGoogle Scholar
Hubbard, A. & Brandenburg, A. 2012 Catastrophic quenching in $\alpha \varOmega$ dynamos revisited. Astrophys. J. 748, 51.CrossRefGoogle Scholar
Jennings, R., Brandenburg, A., Tuominen, I. & Moss, D. 1990 Can stellar dynamos be modelled in less than three dimensions? Astron. Astrophys. 230, 463–473.Google Scholar
Kitchatinov, L. L. & Pipin, V. V. 1993 Mean-field buoyancy. Astron. Astrophys. 274, 647–652.Google Scholar
Kleeorin, N., Moss, D., Rogachevskii, I. & Sokoloff, D. 2000 Helicity balance and steady-state strength of the dynamo generated galactic magnetic field. Astron. Astrophys. 361, L5–L8.Google Scholar
Kleeorin, N. & Rogachevskii, I. 1999 Magnetic helicity tensor for an anisotropic turbulence. Phys. Rev. E 59, 6724–6729.CrossRefGoogle ScholarPubMed
Kleeorin, N. I. & Ruzmaikin, A. A. 1982 Dynamics of the average turbulent helicity in a magnetic field. Magnetohydrodynamics 18, 116–122.Google Scholar
Krause, F. & Rädler, K.-H. 1980 Mean-Field Magnetohydrodynamics and Dynamo Theory. Akademie.Google Scholar
Leighton, R. B. 1969 A magneto-kinematic model of the solar cycle. Astrophys. J. 156, 1.CrossRefGoogle Scholar
Losada, I. R., Warnecke, J., Glogowski, K., Roth, M., Brandenburg, A., Kleeorin, N. & Rogachevskii, I. 2017 A new look at sunspot formation using theory and observations. In Fine Structure and Dynamics of the Solar Atmosphere (ed. S. Vargas Domínguez, A. G. Kosovichev, P. Antolin & L. Harra), IAU Symposium, vol. 327, pp. 46–59. CUP.CrossRefGoogle Scholar
Mackay, D. H. & Yeates, A. R. 2012 The sun's global photospheric and coronal magnetic fields: observations and models. Living Rev. Sol. Phys. 9, 6.CrossRefGoogle Scholar
Mitra, D., Candelaresi, S., Chatterjee, P., Tavakol, R. & Brandenburg, A. 2010 Equatorial magnetic helicity flux in simulations with different gauges. Astron. Nachr. 331, 130.CrossRefGoogle Scholar
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.Google Scholar
Moss, D., Sokoloff, D., Kuzanyan, K. & Petrov, A. 2004 Stellar dynamo waves: asymptotic configurations. Geophys. Astrophys. Fluid Dyn. 98, 257–272.CrossRefGoogle Scholar
Moss, D., Sokoloff, D., Usoskin, I. & Tutubalin, V. 2008 Solar grand minima and random fluctuations in dynamo parameters. Solar Phys. 250, 221–234.CrossRefGoogle Scholar
Noyes, R. W., Weiss, N. O. & Vaughan, A. H. 1984 The relation between stellar rotation rate and activity cycle periods. Astrophys. J. 287, 769–773.CrossRefGoogle Scholar
Parker, E. N. 1984 Magnetic buoyancy and the escape of magnetic fields from stars. Astrophys. J. 281, 839–845.CrossRefGoogle Scholar
Parker, E. N. 1993 A solar dynamo surface wave at the interface between convection and nonuniform rotation. Astrophys. J. 408, 707–719.CrossRefGoogle Scholar
Pesnell, W. D., Thompson, B. J. & Chamberlin, P. C. 2012 The solar dynamics observatory (SDO). Sol. Phys. 275, 3–15.CrossRefGoogle Scholar
Pevtsov, A. A., Berger, M. A., Nindos, A., Norton, A. A. & van Driel-Gesztelyi, L. 2014 Magnetic helicity, tilt, and twist. Space Sci. Rev. 186, 285–324.CrossRefGoogle Scholar
Pevtsov, A. A., Canfield, R. C. & Metcalf, T. R. 1994 Patterns of helicity in solar active regions. Astrophys. J. Lett. 425, L117–L119.CrossRefGoogle Scholar
Pipin, V. 2018 Vvpipin/2dspdy 0.1.1.Google Scholar
Pipin, V. V. & Kosovichev, A. G. 2015 Effects of large-scale non-axisymmetric perturbations in the mean-field solar dynamo. Astrophys. J. 813 (2), 134.CrossRefGoogle Scholar
Pipin, V. V. & Kosovichev, A. G. 2018 Does nonaxisymmetric dynamo operate in the sun? Astrophys. J. 867, 145–155.CrossRefGoogle Scholar
Pipin, V. V. & Pevtsov, A. A. 2014 Magnetic helicity of the global field in solar cycles 23 and 24. Astrophys. J. 789, 21.CrossRefGoogle Scholar
Pipin, V. V., Pevtsov, A. A., Liu, Y. & Kosovichev, A. G. 2019 Evolution of magnetic helicity in solar cycle 24. Astrophys. J. 877 (2), L36.CrossRefGoogle Scholar
Pipin, V. V., Sokoloff, D. D., Zhang, H. & Kuzanyan, K. M. 2013 Helicity conservation in nonlinear mean-field solar dynamo. Astrophys. J. 768, 46.CrossRefGoogle Scholar
Pouquet, A., Frisch, U. & Léorat, J. 1975 Strong MHD helical turbulence and the nonlinear dynamo effect. J. Fluid Mech. 68, 769–778.Google Scholar
Rüdiger, G., Kitchatinov, L. L. & Brandenburg, A. 2011 Cross helicity and turbulent magnetic diffusivity in the solar convection zone. Sol. Phys. 269, 3–12.CrossRefGoogle Scholar
Ruediger, G. & Kichatinov, L. L. 1993 Alpha-effect and alpha-quenching. Astron. Astrophys. 269 (1–2), 581–588.Google Scholar
Scherrer, P. H., Schou, J., Bush, R. I., Kosovichev, A. G., Bogart, R. S., Hoeksema, J. T., Liu, Y., Duvall, T. L., Zhao, J., Title, A. M., et al. 2012 The helioseismic and magnetic imager (HMI) investigation for the solar dynamics observatory (SDO). Sol. Phys. 275, 207–227.CrossRefGoogle Scholar
Seehafer, N. 1994 Alpha effect in the solar atmosphere. Astron. Astrophys. 284, 593–598.Google Scholar
Singh, N. K., Käpylä, M. J., Brandenburg, A., Käpylä, P. J., Lagg, A. & Virtanen, I. 2018 Bihelical spectrum of solar magnetic helicity and its evolution. Astrophys. J. 863, 182.CrossRefGoogle Scholar
Stenflo, J. O. 2013 Solar magnetic fields as revealed by stokes polarimetry. Astron. Astrophys. Rev. 21, 66.CrossRefGoogle Scholar
Tlatov, A., Illarionov, E., Sokoloff, D. & Pipin, V. 2013 A new dynamo pattern revealed by the tilt angle of bipolar sunspot groups. Mon. Not. R. Astron. Soc. 432 (4), 2975–2984.CrossRefGoogle Scholar
Toriumi, S. & Wang, H. 2019 Flare-productive active regions. Living Rev. Sol. Phys. 16 (1), 3.CrossRefGoogle ScholarPubMed
Yeates, A. R. 2020 The minimal helicity of solar coronal magnetic fields. Astrophys. J. Lett. 898 (2), L49.CrossRefGoogle Scholar
Zhang, H., Brandenburg, A. & Sokoloff, D. D. 2016 Evolution of magnetic helicity and energy spectra of solar active regions. Astrophys. J. 819, 146.CrossRefGoogle Scholar
Zhang, H., Sakurai, T., Pevtsov, A., Gao, Y., Xu, H., Sokoloff, D. D. & Kuzanyan, K. 2010 A new dynamo pattern revealed by solar helical magnetic fields. Mon. Not. R. Astron. Soc. 402, L30–L33.CrossRefGoogle Scholar
Zhang, M. 2006 Helicity observations of weak and strong fields. Astrophys. J. Lett. 646, L85–L88.CrossRefGoogle Scholar