Small scale kinematic dynamos: Beyond the α-effect

Geophysical and Astrophysical Fluid Dynamics

Volumn 98, Issue 3, 2004, Pages 225-234

  Tilgner, A ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Dynamo effect; Mean field theory

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; MAGNETIC FIELDS; VELOCITY MEASUREMENT;

EQUATORIAL DIPOLE FIELDS; GENERATION MECHANISM; GEODYNAMO SIMULATIONS;

KINEMATICS;

ANISOTROPY; GEODYNAMO; MAGNETIC FIELD;

EID: 5044223029     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/0309192042000196103     Document Type: Article

References (15)

1. Aubert, J. and Wicht, J., "Axial and equatorial dipolar dynamo action in rotating spherical shells", Earth Planet. Sci. Lett., in press.
2. Childress, S., "New solutions of the kinematic dynamo problem", J. Math. Phys. 11, 3063-3076 (1970).
3. Gubbins, D., Barber, C.N., Gibbons, S. and Love, J.J., "Kinematic dynamo action in a sphere II. Symmetry selection", Proc. R. Soc. Lond. A 456, 1669-1683 (2000).
4. Lanotte, A., Noullez, A., Vergassola, M. and Wirth, A., "Large-scale dynamo produced by negative magnetic eddy diffusivities", Geophys. Astrophys. Fluid Dynam. 91, 131-146 (1999).
5. Moss, D. and Brandenburg, A., "The generation of nonaxisymmetric magnetic field lines in the giant planets", Geophys. Astrophys. Fluid Dynam. 80, 229-240 (1995).
6. Olson, P., Christensen, U. and Glatzmaier, G.A., "Numerical modeling of the geodynamo: mechanisms of field generation and equilibration", J. Geophys. Res. 104(B5), 10383-10404 (1999).
7. Rädler, K.-H., "Investigations of spherical kinematic mean field dynamos", Astron. Nachr. 307, 89-113 (1986).
8. Rädler, K.-H., Rheinhardt, M., Apstein, E. and Fuchs, H., "On the mean-field theory of the Karlsruhe dynamo experiment", Nonlin. Proc. Geophys. 9, 171-187 (2002).
9. Roberts, G.O., "Dynamo action of fluid motions with two-dimensional periodicity", Phil. Trans. Roy,. Soc. A 271, 411-454 (1972).
10. 2-dynamo models", Astron. Nachr. 301, 181-187 (1980).
11. Stieglitz, R. and Müller, U., "The Karlsruhe dynamo experiment", Nonlin. Proc. Geophys. 9, 165-170 (2002).
12. Tilgner, A., "A kinematic dynamo with a small scale velocity field", Phys. Lett. A 226, 75-79 (1997a).
13. Tilgner, A., "Predictions on the behaviour of the Karlsruhe dynamo", Acta Astron. et Geophys. Univ. Comenianae XIX, 51-62 (1997b).
14. Tilgner, A., "Numerical simulation of the onset of dynamo action in an experimental two-scale dynamo", Phys. Fluids 14, 4092-4094 (2002 ).
15. Tilgner, A. and Busse, F.H., "Subharmonic dynamo action of fluid motions with two-dimensional periodicity", Proc. R. Soc. Lond. A 448, 237-244 (1995).