Babcock-Leighton models of the solar cycle: Questions and issues

Advances in Space Research

Volumn 39, Issue 11, 2007, Pages 1661-1669

  Charbonneau, Paul ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Dynamo models; Solar cycle; Solar magnetic fields; Sun: dynamo; Sun: magnetic fields

Indexed keywords

ASTROPHYSICS; CONSTRAINT THEORY; ELECTRODYNAMICS; MAGNETIC FIELDS; MATHEMATICAL MODELS; SOLAR ENERGY;

BABCOCK-LEIGHTON MODELS; DYNAMO MODELS; SOLAR MAGNETIC FIELDS; SUN: DYNAMO; SUN: MAGNETIC FIELDS;

SOLAR SYSTEM;

EID: 34347273040     PISSN: 02731177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asr.2007.01.040     Document Type: Article

References (75)

1. Abbett W.P., Fisher G.H., and Fan Y. The effects of rotation on the evolution of rising omega loops in a stratified model convection zone. ApJ 546 (2001) 1194-1203
2. Asplund, M., Grevesse, N., Sauval, A.J. 2005. Cosmic abundances as records of stellar evolution and nucleosynthesis. In: Barnes, T.G., Bash,, F.N. (Eds.), ASP Conf. Ser. 336, p. 25.
3. Babcock H.W. The topology of the sun's magnetic field and the 22-year cycle. ApJ 133 (1961) 572-587
4. Beer J., Tobias S.M., and Weiss N.O. An active sun throughout the maunder minimum. SoPh 181 (1998) 237-249
5. 2 Ω-dynamo. A&A 390 (2002) 673-680
6. Bonanno A., Elstner D., and Belvedere G. Advection-dominated solar dynamo model with two-cell meridional flow and positive α-effect in the tachocline. AN 327 (2006) 680-685
7. Braun D.C., and Fan Y. Helioseismic measurements of the subsurface meridional flow. ApL 508 (1998) L105-L108
8. Bushby P.J. Strong asymmetry in stellar dynamos. MNRAS 338 (2003) 655-664
9. Bushby, P.J., Tobias, S.M., On predicting the solar cycle using mean-field models, ApJ, in press, 2007.
10. Caligari P., Moreno-Insertis F., and Schüssler M. Emerging flux tubes in the solar convection zone: I. Asymmetry, tilt, and emergence latitudes. ApJ 441 (1995) 886-902
11. Charbonneau, P., 2005. Dynamo models of the solar cycle, LRSP, 2, http://solarphysics.livingreviews.org/Articles/lrsp-2005-2/.
12. Charbonneau, P., Cross-hemispheric coupling in a Babcock-Leighton model of the solar cycle, AdvSpRes, in press, 2007 (special issue).
13. Charbonneau P., and Dikpati M. Stochastic fluctuations in a Babcock-Leighton model of the solar cycle. ApJ 543 (2000) 1027-1043
14. Charbonneau P., and Michaud G. Meridional circulation and diffusion in A and early F stars. ApJ 370 (1991) 693-708
15. Charbonneau P., Blais-Laurier G., and St-Jean-Leblanc C. Intermittency and phase persistence in a Babcock-Leighton model of the solar cycle. ApJ 616 (2004) L183-L186
16. Charbonneau P., St-Jean-Leblanc C., and Zacharias P. Fluctuations in Babcock-Leighton models of the solar cycle: I. Period doubling and transition to chaos. ApJ 619 (2005) 613-622
17. Chatterjee P., Choudhuri A.R., and Petrovay K. Development of twist in an emerging magnetic flux tube by poloidal field accretion. A&A 449 (2006) 781-789
18. Chatterjee P., Nandy D., and Choudhuri A.R. Full-sphere simulations of a circulation dominated solar dynamo: exploring the parity issue. A&A 427 (2004) 1019-1030
19. Choudhuri A.R., and Gilman P.A. The influence of the Coriolis force on flux tubes rising through the solar convection zone. ApJ 316 (1987) 788-800
20. Choudhuri A.R., Schüssler M., and Dikpati M. The solar dynamo with meridional circulation. A&A 303 (1995) L29-L32
21. Dikpati M., and Charbonneau P. A Babcock-Leighton flux transport dynamo with solar-like differential rotation. ApJ 518 (1999) 508-520
22. Dikpati M., and Gilman P.A. Flux transport dynamos with α-effect from global instability of tachocline differential rotation: a solution for magnetic parity selection in the sun. ApJ 559 (2001) 428-442
23. Dikpati M., and Gilman P.A. Simulating and predicting solar cycles using a flux-transport dynamo. ApJ 649 (2006) 498-514
24. Dikpati M., Gilman P.A., and de Toma G. Predicting the strength of solar cycle 24 using a flux-transport dynamo-based tool. GeoRL 33 (2006) L05102
25. Dikpati M., Gilman P.A., and MacGregor K.B. Penetration of dynamo-generated magnetic fields into the sun's radiative interior. ApJ 638 (2006) 564-575
26. Dikpati M., de Toma G., Gilman P.A., Arge C.N., and White O.R. Diagnostic of polar field reversal in solar cycle 23 using a flux transport dynamo model. ApJ 601 (2004) 1136-1151
27. D'Silva S., and Choudhuri A.R. A theoretical model for tilts of bipolar magnetic regions. A&A 272 (1993) 621-633
28. Durney B.R. On a Babcock-Leighton dynamo model with a deep-seated generating layer for the toroidal magnetic field. SoPh 160 (1995) 213-235
29. Fan, Y., Magnetic Fields in the Solar Convection Zone, 2004, LRSP, 1, http://solarphysics.livingreviews.org/Articles/lrsp-2004-1/.
30. Fan Y., Fisher G.H., and DeLuca E.E. The origin of morphological asymmetries in bipolar active regions. ApJ 405 (1993) 390-401
31. Fan Y., Fisher G.H., and Howard R.F. Comparison between theory and observation of active region tilt. ApJ 438 (1995) 463-471
32. Fan Y., and Gong D. On the twist of emerging flux loops in the solar convection zone. SoPh 192 (2000) 141-157
33. Fan Y., Fisher G.H., Fan Y., and McClymont A.N. Dynamics of emerging active region flux loops. ApJ 436 (1994) 907-928
34. Ferriz-Mas A., and Schüssler M. Waves and instabilities of a toroidal magnetic flux tube in a rotating star. ApJ 433 (1994) 852-866
35. Ferriz-Mas, A., Schüssler, M. 2003. In: Ferriz-Mas, A., Jiménez, M. M. (Eds.), Advances in nonlinear dynamos, The Fluid Mechanics of Astrophysics and Geophysics, vol. 8, 123.
36. Gilman P.A., and Miesch M.S. Limits to penetration of meridional circulation below the solar convection zone. ApJ 611 (2004) 568-574
37. Guerrero G.A., and Muñoz J.D. Kinematic solar dynamo models with a deep meridional flow. MNRAS 530 (2004) 317-322
38. Guerrero, G. A., de Gouveia Dal Pino, E.M. How does the shape and thickness of the tachocline affect the distribution of the toroidal fields in the solar dynamo? A&A, in press.
39. Hagenaar H.J., Schrijver C.J., and Title A.M. The properties of small magnetic regions on the solar surface and the implications for the solar dynamo(s). ApJ 584 (2003) 1107-1119
40. Harvey, K.L., Magnetic dipoles on the Sun, 1993, PhD Thesis, Rijksuniv., Utrecht.
41. Hathaway D.H. Doppler measurements of the sun's meridional flow. ApJ 460 (1996) 1027-1033
42. Hathaway D.H., Nandy D., Wilson R.M., and Reichmann E.J. Evidence that a deep meridional flow sets the sunspot cycle period. ApJ 589 (2003) 665-670
43. Rüdiger G., Kitchatinov L.L., and Arlt R. The penetration of meridional flow into the tachocline and its meaning for the solar dynamo. A&A 444 (2005) L53-L56
44. Küker M., Rüdiger G., and Schulz M. Circulation-dominated solar shell dynamo models with positive alpha effect. A&A 374 (2001) 301-308
45. Leighton R.B. Transport of magnetic fields on the sun. ApJ 140 (1964) 1547-1562
46. Leighton R.B. A magneto-kinematic model of the solar cycle. ApJ 156 (1969) 1-26
47. Leka K.D., Fan Y., and Barnes G. On the availability of sufficient twist in solar active regions to trigger the kink instability. ApJ 626 (2005) 1091-1095
48. Mason J., Hughes D.W., and Tobias S.M. The competition in the solar dynamo between surface and deep-seated α-effect. ApJ 580 (2002) L89-L92
49. Miesch M., Elliott J.R., Toomre J., Clune T.T., Glatzmaier G.A., and Gilman P.A. Three-dimensional spherical simulations of solar convection: I. Differential rotation and pattern evolution achieved with laminar and turbulent states. ApJ 532 (2000) 593-615
50. Moreno-Insertis F. Nonlinear time-evolution of kink-unstable magnetic flux tubes in the convection zone of the Sun. A&A 166 (1986) 291-305
51. Moreno-Insertis F., Caligari P., and Schüssler M. Explosion and intensification of magnetic flux tubes. ApJ 452 (1995) 894-900
52. Nandy D., and Choudhuri A.R. Toward a mean-field formulation of the Babcock-Leighton type solar dynamo: I. α-Coefficient versus Durney's double-ring approach. ApJ 551 (2001) 576-585
53. Nandy D., and Choudhuri A.R. Explaining the latitudinal distribution of sunspots with deep meridional flow. Science 296 (2002) 1671-1673
54. Ossendrijver M. Grand minima in a buoyancy-driven solar dynamo. A&A 359 (2000) 364-372
55. Ossendrijver M. The dynamo effect of magnetic flux tubes. A&A 359 (2000) 1205-1210
56. Ossendrijver A.J.H., Hoyng P., and Schmitt D. Stochastic excitation and memory of the solar dynamo. A&A 313 (1996) 938-948
57. Pariat E., Nindos A., Dmoulin P., and Berger M.A. What is the spatial distribution of magnetic helicity injected in a solar active region?. A&A 452 (2006) 623-630
58. Parker E.N. Hydromagnetic dynamo models. ApJ 122 (1955) 293-314
59. Rempel M. Transport of toroidal magnetic field by the meridional flow at the base of the solar convective envelope. ApJ 637 (2006) 1135-1142
60. Rempel M. Flux-transport dynamos with Lorentz force feedback on differential rotation and meridional flow: saturation mechanism and torsional oscillations. ApJ 647 (2006) 662-675
61. Rhines P.R., and Young W.R. How rapidly is a passive scalar mixed within closed streamlines?. JFM 133 (1983) 133-145
62. Roberts P.H., and Stix M. α-Effect dynamos, by the Bullard-Gellman formalism. A&A 18 (1972) 453-466
63. Rüdiger G., and Elstner D. Is the butterfly diagram due to meridional motions?. AN 323 (2002) 432-435
64. Schmitt D. An αω-dynamo with an α-effect due to magnetostrophic waves. A&A 174 (1987) 281-287
65. Schmitt D., Schüssler M., and Ferriz-Mas A. Intermittent solar activity by an on-off dynamo. A&A 311 (1996) L1-L4
66. Schou J., and Bogart R.S. Flow and horizontal displacements from ring diagrams. ApJ 504 (1998) L131-L134
67. Schmitt D., and Schüssler M. Does the butterfly diagram indicate a solar flux-transport dynamo?. A&A 421 (2004) 349-351
68. Sheeley Jr., N.R., 2005. Surface evolution of the Sun's magnetic field: a historical review of the flux-transport mechanism, LRSP, 2, http://solarphysics.livingreviews.org/Articles/lrsp-2005-5/.
69. Stix M. Differential rotation and the solar dynamo. A&A 47 (1976) 243-254
70. St-Jean, C., Charbonneau, P., Solar cycle modelling using spatiotemporal decomposition schemes, JCompPhys, in press.
71. Turcotte S., Richer J., Michaud G., Iglesias C.A., and Rogers F.J. Consistent solar evolution model including diffusion and radiative acceleration effects. ApJ 504 (1998) 539-558
72. Wang Y.-M., and Sheeley Jr. N.R. Magnetic flux transport and the sun's dipole moment: new twists to the Babcock-Leighton model. ApJ 375 (1991) 761-770
73. Wang Y.-M., Sheeley Jr. N.R., and Nash A.G. A new cycle model including meridional circulation. ApJ 383 (1991) 431-442
74. Weiss N.O. The expulsion of magnetic flux by eddies. PRSL A293 (1966) 310-324
75. Zhang H., Sokoloff D., Rogachevskii I., Moss D., Lamburt V., Kuzanyan K., and Kleeorin N. The radial distribution of magnetic helicity in the solar convective zone: observations and dynamo theory. MNRAS 365 (2006) 276-286