Abstract
To reproduce the weak magnetic field on the polar caps of the Sun observed during the declining phase of cycle 23 poses a challenge to surface flux transport models since this cycle has not been particularly weak. We use a well-calibrated model to evaluate the parameter changes required to obtain simulated polar fields and open flux that are consistent with the observations. We find that the low polar field of cycle 23 could be reproduced by an increase of the meridional flow by 55% in the last cycle. Alternatively, a decrease of the mean tilt angle of sunspot groups by 28% would also lead to a similarly low polar field, but cause a delay of the polar field reversals by 1.5 years in comparison to the observations.
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I. Baumann, D. Schmitt, M. Schüssler, S.K. Solanki, Evolution of the large-scale magnetic field on the solar surface: a parameter study. Astron. Astrophys. 426, 1075–1091 (2004). doi:10.1051/0004-6361:20048024
I. Baumann, D. Schmitt, M. Schüssler, A necessary extension of the surface flux transport model. Astron. Astrophys. 446, 307–314 (2006). doi:10.1051/0004-6361:20053488
R.H. Cameron, J. Jiang, D. Schmitt, M. Schüssler, Surface flux transport modeling for solar cycles 15–21: effects of cycle-dependent tilt angles of sunspot groups. Astrophys. J. 719, 264–270 (2010). doi:10.1088/0004-637X/719/1/264
D. Chou, D. Dai, Solar cycle variations of subsurface meridional flows in the sun. Astrophys. J. 559, 175–178 (2001). doi:10.1086/323724
M. Dasi-Espuig, S.K. Solanki, N.A. Krivova, R. Cameron, T. Peñuela, Sunspot group tilt angles and the strength of the solar cycle. Astron. Astrophys. 518, 7 (2010). doi:10.1051/0004-6361/201014301
L. Gizon, Helioseismology of time-varying flows through the solar cycle. Sol. Phys. 224, 217–228 (2004). doi:10.1007/s11207-005-4983-9
L. Gizon, A.C. Birch, Local helioseismology. Living Rev. Sol. Phys. 2, 6 (2005)
I. González Hernández, R. Howe, R. Komm, F. Hill, Meridional circulation during the extended solar minimum: another component of the torsional oscillation? Astrophys. J. 713, 16–20 (2010). doi:10.1088/2041-8205/713/1/L16
D.H. Hathaway, The solar cycle. Living Rev. Sol. Phys. 7, 1 (2010)
D.H. Hathaway, L. Rightmire, Variations in the Sun’s meridional flow over a solar cycle. Science 327, 1350 (2010). doi:10.1126/science.1181990
D.H. Hathaway, L. Rightmire, Variations in the axisymmetric transport of magnetic elements on the Sun: 1996–2010. Astrophys. J. 729, 80 (2011). doi:10.1088/0004-637X/729/2/80
J. Jiang, R. Cameron, D. Schmitt, M. Schüssler, Countercell meridional flow and latitudinal distribution of the solar polar magnetic field. Astrophys. J. 693, 96–99 (2009). doi:10.1088/0004-637X/693/2/L96
J. Jiang, R. Cameron, D. Schmitt, M. Schüssler, Modeling the Sun’s open magnetic flux and the heliospheric current sheet. Astrophys. J. 709, 301–307 (2010). doi:10.1088/0004-637X/709/1/301
J. Jiang, R.H. Cameron, D. Schmitt, M. Schüssler, The solar magnetic field since 1700. I. Characteristics of sunspot group emergence and reconstruction of the butterfly diagram. Astron. Astrophys. 528, 82 (2011a). doi:10.1051/0004-6361/201016167
J. Jiang, R.H. Cameron, D. Schmitt, M. Schüssler, The solar magnetic field since 1700. II. Physical reconstruction of total, polar and open flux. Astron. Astrophys. 528, 83 (2011b). doi:10.1051/0004-6361/201016168
M. Lockwood, M. Owens, A.P. Rouillard, Excess open solar magnetic flux from satellite data: 2. A survey of kinematic effects. J. Geophys. Res. 114, 11104 (2009a). doi:10.1029/2009JA014450
M. Lockwood, A.P. Rouillard, I.D. Finch, The rise and fall of open solar flux during the current grand solar maximum. Astrophys. J. 700, 937–944 (2009b). doi:10.1088/0004-637X/700/2/937
D. Longcope, A.R. Choudhuri, The orientational relaxation of bipolar active regions. Sol. Phys. 205, 63–92 (2002)
D.H. Mackay, E.R. Priest, M. Lockwood, The evolution of the Sun’s open magnetic flux—II. Full solar cycle simulations. Sol. Phys. 209, 287–309 (2002)
D.J. McComas, R.W. Ebert, H.A. Elliott, B.E. Goldstein, J.T. Gosling, N.A. Schwadron, R.M. Skoug, Weaker solar wind from the polar coronal holes and the whole Sun. Geophys. Res. Lett. 35, 18103 (2008). doi:10.1029/2008GL034896
M. Rieutord, F. Rincon, The Sun’s supergranulation. Living Rev. Sol. Phys. 7, 2 (2010)
C.J. Schrijver, Simulations of the photospheric magnetic activity and outer atmospheric radiative losses of cool stars based on characteristics of the solar magnetic field. Astrophys. J. 547, 475–490 (2001)
C.J. Schrijver, Y. Liu, The global solar magnetic field through a full sunspot cycle: observations and model results. Sol. Phys. 252, 19–31 (2008). doi:10.1007/s11207-008-9240-6
C.J. Schrijver, C. Zwaan, Solar and Stellar Magnetic Activity (2000)
M. Schüssler, I. Baumann, Modeling the Sun’s open magnetic flux. Astron. Astrophys. 459, 945–953 (2006). doi:10.1051/0004-6361:20065871
N.R. Sheeley Jr., What’s so peculiar about the cycle 23/24 solar minimum? in Astronomical Society of the Pacific Conference Series, vol. 428, ed. by S.R Cranmer, J.T. Hoeksema, J.L. Kohl (2010), p. 3
H.B. Snodgrass, Magnetic rotation of the solar photosphere. Astrophys. J. 270, 288–299 (1983). doi:10.1086/161121
L. Svalgaard, T.L. Duvall Jr., P.H. Scherrer, The strength of the sun’s polar fields. Sol. Phys. 58, 225–239 (1978). doi:10.1007/BF00157268
A.A. van Ballegooijen, N.P. Cartledge, E.R. Priest, Magnetic flux transport and the formation of filament channels on the Sun. Astrophys. J. 501, 866 (1998). doi:10.1086/305823
Y.M. Wang, A.G. Nash, N.R. Sheeley, Magnetic flux transport on the sun. Science 245, 712–718 (1989)
Y. Wang, E. Robbrecht, N.R. Sheeley, On the weakening of the polar magnetic fields during solar cycle 23. Astrophys. J. 707, 1372–1386 (2009). doi:10.1088/0004-637X/707/2/1372
R.M. Wilson, D.H. Hathaway, A comparison of rome observatory sunspot area and sunspot number determinations with international measures, 1958–1998. NASA STI/Recon Technical Report N 6, 22159 (2005)
S. Yang, H. Zhang, J. Büchner, Magnetic helicity accumulation and tilt angle evolution of newly emerging active regions. Astron. Astrophys. 502, 333–340 (2009). doi:10.1051/0004-6361/200810032
X. Zhao, J.T. Hoeksema, Predicting the heliospheric magnetic field using the current sheet-source surface model. Adv. Space Res. 16, 181 (1995a). doi:10.1016/0273-1177(95)00331-8
X. Zhao, J.T. Hoeksema, Prediction of the interplanetary magnetic field strength. J. Geophys. Res. 100, 19–33 (1995b). doi:10.1029/94JA02266
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Jiang, J., Cameron, R.H., Schmitt, D. et al. Can Surface Flux Transport Account for the Weak Polar Field in Cycle 23?. Space Sci Rev 176, 289–298 (2013). https://doi.org/10.1007/s11214-011-9783-y
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DOI: https://doi.org/10.1007/s11214-011-9783-y