The α-effect and current helicity for fast sheared rotators

Geophysical and Astrophysical Fluid Dynamics

Volumn 97, Issue 1, 2003, Pages 25-43

  Pipin, V V ^a  

^a INSTITUTE OF SOLAR TERRESTRIAL PHYSICS   (Russian Federation)

Author keywords

Accretion disks; Dynamo theory; Magnetohydrodynamics; Sun; Turbulence

Indexed keywords

HEAT CONVECTION; ROTATION; SUN; TURBULENCE;

ACCRETION DISKS; SHEARED ROTATORS;

FLUID DYNAMICS;

MAGNETOHYDRODYNAMICS; SOLAR ACTIVITY;

EID: 0347226891     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/0309192021000053366     Document Type: Article

References (35)

1. Balbus, S.A. and Hawley, J.F., "A powerful local shear instability in weakly magnetized disks", Astrophys. J. 376, 214B (1991).
2. Belvedere, G., Kuzanyan, K.M. and Sokoloff, D.D., "A two-dimensional asymptotic solution for a dynamo wave in the light of the solar internal rotation", Mon. Not. R. Astro. Soc. 315, 778 (2000).
3. Biskamp, D., Nonlinear Magnetohydrodynamics, Cambridge University Press (1997).
4. Blackman, E., "Mean magnetic field generation in sheared rotators", Astrophys. J. 529, 138 (2000).
5. Brandenburg, A., In: Advances in Solar Physics (Eds. G. Belvedere W. Mattig and M. Rodonó), Lect. Notes Phys. 432, Springer-Verlag (1994).
6. Brandenburg, A., "The inverse cascade and non-linear alpha-effect in simulations of isotropic helical hydromagnetic turbulence", Astrophys. J. 550, 824 (2001).
7. Brandenburg, A., "Simulations and observations of stellar dynamos: evidence for a magnetic alpha-effect", In: Stellar Dynamos: Nonlinearity and Chaotic Flows (Eds. Manuel Nunez and Antonio Ferriz-Mas), ASP Conference Series 178, Vol. 13 (1999).
8. Cattaneo, F. and Hughes, D.W., "Nonlinear saturation of the turbulent alpha effect", Phys. Rev. E 54, 4532 (1996).
9. Field, G.B., Blackman, E.G. and Chou, H., "Nonlinear α-effect in dynamo theory", Astrophys. J 513, 638 (1999).
10. Frisch, U., Pouquet, A., Léorat, I. and Mazure, A.J., "Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence", J. Fluid Mech. 68(4) 769 (1975).
11. Keinigs, R.K., "A new interpretation of the alpha effect", Phys. Fluids 76, 2558 (1983).
12. Kitchatinov, L.L., "Turbulent transport of magnetic fields in a highly conducting rotating fluid and the solar cycle", Astron. Astrophys. 243, 483 (1991).
13. Kitchatinov, L.L., Mazur, M.V. and Jardine, M., "Magnetic field escape from a stellar convection zone and the dynamo-cycle period", Astron. Astrophys. 359, 531 (2000).
14. Kitchatinov, L.L. and Pipin V.V., "Mean field buoyancy", Astron. Astrophys. 274, 674 (1993).
15. Kosovichev, A.G. and Schou, J., et al., "Structure and rotation of the solar interior: initial results from the MDI medium-L Progra", Solar Phys. 170, 43(1997).
16. Krause, F. and Rädler, K.-H., Mean Field Magnetohydrodynamics and Dynamo Theory, Pergamon Press, Oxford (1980).
17. Kuzanyan, K., Bao, S. and Zhang, H., "Probing signatures of the alpha-effect in the solar convection zone", Solar Phys. 191, 231 (2000).
18. Moffatt, H.K., Magnetic Field Generation in Electrically Conducting Fluids, Cambridge University Press (1978).
19. Moffatt, H.K., "Reflections on magnetohydrodynamics", In: Perspectives in Fluid Dynamics (Eds. G.K. Batchelor, H.K. Moffatt and M.G. Worster) 347, Cambridge University Press (2000).
20. Ossendrijver, M., Stix, M. and Brandenburg, A. "Magnetoconvection and dynamo coefficients: dependence of the α effect on rotation and magnetic field", Astron. Astrophys. 376, 713 (2001).
21. Parker, E.N., Cosmical Magnetic Fields, Clarendon Press, Oxford (1979).
22. Parker, E.N., "A solar dynamo surface wave at the interface between convection and nonuniform rotation", Astron. Astrophys. 408, 707 (1993).
23. Pevtsov, A.A., Canfield, R.C. and Metcalf, T.R., "Latitudinal variation of helicity of photospheric magnetic fields", Astron. Astrophys. 440L, 109 (1995).
24. Pope, S.B., "Stochastic Lagrangian models for turbulence", Ann. Rev. Fluid Mech. 26, 23 (1994).
25. Pouquet, A., Frisch, U. and Leorat, J., "Strong MHD helical turbulence and the nonlinear dynamo effect", J. Fluid Mech. 77(2), 321 (1976).
26. Rädler, K.-H. and Seehafer, N., In Topological Fluid Mechanics (Eds. H. K. Moffett and A. Tzinober) 157, Cambridge University Press (1990).
27. Rüdiger, G. and Brandenburg, A., "A solar dynamo in the overshoot layer: cycle period and butterfly diagram", Astron. Astrophys. 296, 557 (1995).
28. Rüdiger, G. and Kitchatinov, L.L., "Alpha-effect and alpha-quenching", Astron. Astrophys. 269, 581 (1993).
29. Rüdiger, G. and Pipin, V.V., "Viscosity-alpha and dynamo-alpha for magnetically driven compressible turbulence in Kepler disks", Astron. Astrophys. 362, 756 (2000).
30. Rüdiger, G., Pipin, V.V. and Belvedere G., "Alpha-effect, helicity and angular momentum transport for a magnetically driven turbulence in the solar convection zone", Solar Phys. 198, 241 (2001).
31. Seehafer, N., "Electric current helicity in the solar atmosphere", Solar Phys. 125, 219 (1990).
32. Seehafer, N., Europhys. Lett. 27, 353 (1994).
33. Stix, M., The Sun: An Introduction. Springer Verlag (1990).
34. Vainshtein, S.I. and Cattaneo, F., "Nonlinear restrictions on dynamo action", Astrophys. J. 393, 165 (1992).
35. Vainshtein, S.I. The Cosmic Magnetic Fields, Moskow, Nauka (1980).