Abstract
The solar dynamo problem is reviewed in the light of recent developments in dynamo theory. We distinguish between the generation of magnetic fields on scales smaller than the velocity correlation length-small scale dynamo, and larger than the velocity correlation length-large scale dynamo. We argue that small scale dynamo action is likely to occur everywhere in the convection zone. The field thus generated however is disordered both in space and time. Large scale dynamo action on the other hand is responsible for the activity cycle and the large scale organization of the solar field. The existence of a large scale dynamo is related to the breaking of symmetries in the underlying field of turbulence.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Babcock, H.W., (1961), ApJ 133, 572
Caligari, P., Moreno-Insertis, F. & Schüssler, M., (1995), ApJ 441, 886
Cattaneo, F., (1994), ApJ 434, 200
Cattaneo, F. & Hughes, D.W., (1996), PRE 54, 4532
Cattaneo, F. Hughes, D.W. & Kim, E., (1996), PRL 76, 2057
Cattaneo, F. & vainshtein, S.I., (1991), ApJ 376, L21
Cattaneo, F., Kim, E., Proctor, M.R.E. & Tao, L., (1995), PRL 75, 1522
Charbonneau, P. & MacGregor, K.B., (1997a) ApJ submitted
Charbonneau, P. & MacGregor, K.B., (1997b) ApJ lett. submitted
Childress, S. & Gilbert, A.D., (1995), Stretch, Twist, Fold: The Fast Dynamo, (Springer-Verlag, Berlin)
D’Silva, S. & Choudhuri, A.R., (1993), AA 272, 621
Drummond, I.T. & Horgan, R.R., (1986), JFM 163, 425
Drummond, I.T. & Münch, W.H.P., (1990), JFM 215, 45
Du, Y. & Ott, E., (1993), Physica 67D, 387
Du, Y. & Ott, E., (1995), JFM 257, 265
Galloway, D.J. & Moore, D.R., (1979), GAFD 12, 73
Galloway, D.J. & Proctor, M.R.E., (1992), Mittire 356, 691
Galloway, D.J., Proctor, M.R.E. & Weiss, N.O., (1978), JFM 87, 243
Gilbert, A.D., Otani, N.F. & Childress, S., in Solar and Planetary Dynamos, eds. M. Proctor, P. Matthews & A. Rucklidge, (Cambridge University Press, Cambridge)
Durney, B.R., (1995), it Solar Phys. 160, 213
Durney, B.R., (1996), it Solar Phys. 166, 231
Ferriz-Mas, A. & Schüssler & M., GAFD 48, 217
Finn, J.M. & Ott, E., (1988), Phys. Fluids 31, 2992
Finn, J.M. & Ott, E., (1990), Phys. Fluids B 2, 916
Gruzinov, A.V. & Diamond, P.H., (1994), PRL 72, 1651
Hentshel, H.G.E. & Procaccia, I., (1983), Physica 8D, 435
Klapper, I. & Young, L.S., (1995), Comm. Math. Phys. 173, 623
Kulsrud, R.M. & Anderson, S.W., (1992), ApJ 393, 606
Leighton, R.B., (1969), ApJ 156, 1
Moffatt, H.K., (1978), Magnetic Field Generation in Electrically Conducting Fluids, (Cambridge University Press, Cambridge)
Moreno-Insertis, F., (1986), AA 166, 291
Moreno-Insertis, F., Schüssler & M., Ferriz-Mas, A. (1992), AA 264, 686
Ott, E., Chaos in Dynamical Systems, (Cambridge University Press, Cambridge)
Ott, E., Du, Y., Sreenivasan, K.R., Juneja, A. & Suri, A.K., (1992), PRL 69, 2654
Parker, E.N., (1955), ApJ 122, 293
Parker, E.N., (1978), ApJ 221, 368
Parker, E.N., (1979), Cosmical Magnetic Fields, (Clarendon Press, Oxford)
Parker, E.N., (1993), ApJ 408, 707
Priest, E.R., (1982), Solar Magneto-Hydrodynamics, (Reidel, Dordrecht)
Schüssler, M., Caligari, P., Ferriz-Mas, A. & Moreno-Insertis, F., (1994), AA 281, L69
Shakespeare, W., (1599) Julius Caesar Act I, Scene II
Spruit, H.C., (1979), Solar Phys. 61, 363
Steenbeck, M., Krause, F. & Rädler, K.-H., (1966), Z. Naturforsch 21a, 369
Tao, L., Cattaneo, F. & Vainshtein, S.I., in Solar and Planetary Dynamos, eds. M. Proctor, P. Matthews & A. Rucklidge, (Cambridge University Press, Cambridge)
Tobias, S.M., (1996), ApJ 467, 870
Vainshtein, S.I. & Cattaneo, F., (1992), ApJ 393, 199
Vainshtein, S.I. & Kichatinov, L.L., (1986), JFM 168, 73
Vainshtein, S.I. & Zel’dovich, Ya.B., (1972), Usp. Fiz. Nauk. 106, 431
Wilson, P.R., (1994), Solar and Stellar Activity Cycles, (Cambridge Univeristy Press, Cambridge)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Cattaneo, F. (1997). The Solar Dynamo Problem. In: Pijpers, F.P., Christensen-Dalsgaard, J., Rosenthal, C.S. (eds) SCORe ’96: Solar Convection and Oscillations and their Relationship. Astrophysics and Space Science Library, vol 225. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5167-2_21
Download citation
DOI: https://doi.org/10.1007/978-94-011-5167-2_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6172-8
Online ISBN: 978-94-011-5167-2
eBook Packages: Springer Book Archive