Dynamo action in the presence of an imposed magnetic field

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 465, Issue 2105, 2009, Pages 1599-1616

  Hughes, D W ^a   Proctor, M R E ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Dynamo theory; Fast dynamo action; Magnetohydrodynamic instability

Indexed keywords

ASTROPHYSICS; DC GENERATORS; FLUID DYNAMICS; GEOPHYSICS; INTERACTIVE DEVICES; MAGNETIC FIELDS; REYNOLDS NUMBER; STABILITY;

BACKGROUND FIELD; CIRCULARLY POLARIZED; DYNAMO ACTION; DYNAMO THEORY; FAST DYNAMO ACTION; FORCING FUNCTION; LINEAR STABILITY; MAGNETIC REYNOLDS NUMBER; MAGNETOHYDRODYNAMIC INSTABILITY; THREE-DIMENSIONAL PERTURBATIONS;

MAGNETOHYDRODYNAMICS;

EID: 67149107183     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2008.0493     Document Type: Article

References (19)

1. Cattaneo, F. 1999 On the origin of magnetic fields in the quiet photosphere. Astrophys. J. 515, L39-L42. (doi:10.1086/311962)
2. Cattaneo, F. and Hughes, D. W. 2006 Dynamo action in a rotating convective layer. J. Fluid Mech. 553, 401-418. (doi:10.1017/S0022112006009165)
3. Cattaneo, F. and Tobias, S. M. 2008 How do dynamos saturate? (http://arxiv.org/abs/0809.1801)
4. Cattaneo, F., Hughes, D. W. and Kim, E.-J. 1995a Suppression of chaos in a simplified nonlinear dynamo model. Phys. Rev. Lett. 76, 2057-2060. (doi:10.1103/PhysRevLett.76.2057)
5. Cattaneo, F., Kim, E.-J., Proctor, M. R. E. and Tao, L. 1995b Fluctuations in quasi-two-dimensional fast dynamos. Phys. Rev. Lett. 75, 1522-1525. (doi:10.1103/PhysRevLett.75.1522)
6. Cattaneo, F., Emonet, T. and Weiss, N. O. 2003 On the interaction between convection and magnetic fields. Astrophys. J. 588, 1183-1198. (doi:10.1086/374313)
7. Childress, S. and Soward, A. M. 1972 Convection driven hydromagnetic dynamo. Phys. Rev. Lett. 29, 837-839. (doi:10.1103/PhysRevLett.29. 837)
8. Courvoisier, A. 2008 The α-effect in 2D fast dynamos. Geophys. Astrophys. Fluid Dyn. 102, 217-243. (doi:10.1080/03091920701562095)
9. Galloway, D. J. and Proctor, M. R. E. 1992 Numerical calculations of fast dynamos in smooth velocity fields with realistic diffusion. Nature 356, 691-693. (doi:10.1038/356691a0)
10. Hughes, D. W. and Proctor, M. R. E. 1988 Magnetic fields in the solar convection zone: magnetoconvection and magnetic buoyancy. Ann. Rev. Fluid Mech. 20, 187-223. (doi:10.1146 /annurev. fl.20.010188.001155)
11. Hughes, D. W., Cattaneo, F. and Kim, E.-J. 1996 Kinetic helicity, magnetic helicity and fast dynamo action. Phys. Lett. A 223, 167-172. (doi:10.1016/S0375-9601 (96) 00722-0)
12. Meneguzzi, M. and Pouquet, A. 1989 Turbulent dynamos driven by convection. J. Fluid Mech. 205, 297-318. (doi:10.1017/ S0022112089002041)
13. Podvigina, O. and Pouquet, A. 1994 On the non-linear stability of the 1:1:1 ABC flow. Physica D 75, 471-508. (doi:10.1016/0167-2789 (94) 00031-X)
14. Proctor, M. R. E. 2005 Magnetoconvection. In Fluid dynamics and dynamos in astrophysics and geophysics (eds A. M. Soward, C. A. Jones, D. W. Hughes and N. O. Weiss), pp. 235-276. Boca Raton, FL: CRC Press.
15. Proctor, M. R. E. and Weiss, N. O. 1982 Magnetoconvection. Rep. Prog. Phys. 45, 1317-1379. (doi:10.1088/0034-4885/45/11/003)
16. Roberts, G. O. 1970 Spatially periodic dynamos. Phil. Trans. R. Soc. Lond. A 266, 535-558. (doi:10.1098/rsta.1970.0011)
17. Sarson, G. R., Jones, C. A., Zhang, K. and Schubert, G. 1997 Magnetoconvection dynamos and the magnetic fields of Io and Ganymede. Science 276, 1106-1108. (doi:10.1126/science.276. 5315.1106)
18. Soward, A. M. 1974 A convection driven dynamo: I. The weak field case. Phil. Trans. R. Soc. Lond. A 275, 611-646. (doi:10.1098/rsta.1974. 0003)
19. Tilgner, A. and Brandenburg, A. 2008 A growing dynamo from a saturated Roberts flow dynamo. Mon. Not. R. Astron. Soc. 391, 1477-1481. (doi:10.1111/j.1365-2966.2008.14006.x)