The α-effect in 2D fast dynamos

Geophysical and Astrophysical Fluid Dynamics

Volumn 102, Issue 2, 2008, Pages 217-243

  Courvoisier, Alice ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Alpha effect; Fast dynamos; Magnetic fields

Indexed keywords

ELECTRIC GENERATORS;

(PL) PROPERTIES; SPATIALLY PERIODIC; TIME-DEPENDENT;

DC GENERATORS;

CORRELATION; ELECTRODYNAMICS; GEODYNAMO; KINEMATICS; MAGNETIC FIELD; REYNOLDS NUMBER; STEADY FLOW; TWO-DIMENSIONAL FLOW;

EID: 46249108752     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091920701562095     Document Type: Article

References (35)

1. Cattaneo, F. and Hughes, DW (2006) Dynamo action in a convective rotating layer. J. Fluid Mech., 553, pp. 401-418.
2. Cattaneo, F. and Tobias, SM (2005) Interactions between dynamos at different scales. Phys. Fluids, 17, p. 127105.
3. Childress, S. (1979) Alpha-effect in flux ropes and sheets. Phys. Earth Planet Int., 20, pp. 172-180.
4. Childress, S. and Gilbert, AD (1995) Stretch, twist, fold, the fast dynamo, Springer, Berlin, Germany
5. Childress, S. and Soward, AM (1989) Scalar transport and alpha-effect for a family of cat's-eye flows. J. Fluid Mech., 205, pp. 99-133.
6. Courvoisier, A. (2006) Dynamo action and the generation of large-scale magnetic fields in Astrophysics. PhD thesis, University of Leeds, Leeds, England
7. Courvoisier, A., Gilbert, AD and Ponty, Y. (2005) Dynamo action in flows with cat's-eyes. Geophys. Astrophys. Fluid Dyn., 99, pp. 413-429.
8. Courvoisier, A., Hughes, DW and Tobias, SM (2006) α-effect in a family of chaotic flows. Phys. Rev. Lett., 96, p. 34503.
9. Galloway, DJ and Proctor, MRE (1992) Numerical calculations of fast dynamos for smooth velocity fields with realistic diffusion. Nature, 356, pp. 691-693.
10. Gilbert, AD and Bayly, BJ (1992) Magnetic field intermittency and fast dynamo action in random helical flows. Phil. Trans. R. Soc. Lon. A, 241, pp. 199-214.
11. Gilbert, AD, Soward, AM and Childress, S. (1996) A fast dynamo of αω-type. Geophys. Astrophys. Fluid Dyn., 85, pp. 279-314.
12. Hughes, DW, Cattaneo, F. and Kim, E-J (1998) Nonlinear multi-cellular fast dynamos. Studia geoph. et. geod., 42, pp. 328-334.
13. Klapper, I. and Young, LS (1995) Bounds on the fast dynamo growth rate involving topological entropy. Comm. Math. Phys., 173, pp. 623-646.
14. Krause, F. and Radler, K-H (1980) Mean field magnetohydrodynamics and dynamo theory, Pergamon Press, Oxford, England
15. Moffatt, HK (1974) The mean electromotive force generated by turbulence in the limit of perfect conductivity. J. Fluid Mech., 65, pp. 1-10.
16. Moffatt, HK (1978) Magnetic field generation in electrically conducting fluids, Cambridge University Press, Cambridge, England
17. Ossendrijver, M., Stix, M. and Brandenburg, A. (2001) Magnetoconvection and dynamo coefficients I: Dependence of the α-effect on rotation and magnetic field. Astron. Astrophys., 376, pp. 713-726.
18. Otani, NF (1993) A fast kinematic dynamo in time-dependent two-dimensional flows. J. Fluid Mech., 253, pp. 327-340.
19. Parker, EN (1955) Hydromagnetic dynamo models. Astrophys. J., 122, pp. 293-314.
20. Plunian, F., Marty, G. and Alemani, A. (1999) Kinematic dynamo action in a network of screw motions: Application to the core of a fast breeder reactor. J. Fluid Mech., 382, pp. 137-154.
21. Plunian, F. and Radler, K-H (2002) Harmonic and subharmonic solutions of the Roberts dynamo problem. Application to the Karlsruhe experiment. Magnetohydrodynamics, 38, pp. 92-103.
22. Ponty, Y., Pouquet, A. and Sulem, P-L (1995) Dynamos in weakly chaotic two-dimensional flows. Geophys. Astrophys. Fluid Dyn., 79, pp. 239-257.
23. Press, WH, Teukolsky, SA, Vetterling, WT and Flannery, BP (1992) Numerical Recipes in Fortran 77, Second Edition, Cambridge University Press, Cambridge, England
24. Radler, K-H (1969) A new turbulent dynamo [English translation by Roberts and Stix (1971)]. Monats Dt Akad Wiss, 11, pp. 272-279.
25. Radler, K-H (1969) On the electrodynamics of turbulent fluids under the influence of Coriolis forces [English translation by Roberts and Stix (1971)]. Monats Dt. Akad. Wiss., 11, pp. 194-201.
26. Radler, K-H and Brandenburg, A. (2003) Contributions to the theory of a two-scale homogeneous dynamo experiment. Phys. Rev. E., 67, pp. 2-26401.
27. Radler, K-H, Rheinhardt, M., Apstein, E. and Fuchs, H. (2002) On the mean-field theory of the Karlsruhe dynamo experiment. Nonlinear Processes in Geophysics, 9, pp. 171-187.
28. Rhines, PB and Young, WR (1983) How rapidly is a passive scalar mixed within closed streamlines. J. Fluid Mech., 133, pp. 133-145.
29. Roberts, GO (1970) Spatially periodic dynamos. Phil. Trans. R. Soc. Lon. A, 266, pp. 535-558.
30. Roberts, GO (1972) Dynamo action of fluid motions with two-dimensional periodicity. Phil. Trans. R. Soc. Lon. A, 271, pp. 411-454.
31. Roberts, PH and Stix, M. (1971)
32. Soward, AM (1987) Fast dynamo action in a steady flow. J. Fluid Mech., 180, pp. 267-295.
33. Soward, AM (1994) Fast dynamos. Lectures on Solar and Planetary Dynamos, pp. 181-217. Cambridge University Press, Cambridge, England
34. Vainshtein, SI and Zel'dovich, YB (1972) Origin of magnetic fields in astrophysics. Sov. Phys. Usp., 15, pp. 159-172.
35. Weiss, NO (1966) The expulsion of magnetic flux by eddies. Proc. R. Soc. Lon. A, 293, pp. 310-328.