Transient evolution regimes in a multiscale dynamo model: Timescales of the reversal mechanism

Journal of Geophysical Research: Solid Earth

Volumn 110, Issue 1, 2005, Pages 1-15

  Narteau, C ^a,b   Le Mouel J L ^b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMAGNETIC FIELD;

EID: 17044407118     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2004JB002983     Document Type: Article

References (49)

1. Andler, D., A. Fagot-Largeault, and B. Saint-Sernin (2002), Philosophie des Sciences, Gallimard, Paris.
2. Bak, P. (1997), How Nature works, Oxford Univ. Press, New York.
3. Blanter, E. M., C. Narteau, M. G. Shnirman, and J.-L. Le Mouël (1999), Up and down cascade in a dynamo model: Spontaneous symmetry breaking, Phys. Rev. E, 59, 5112-5123.
4. Blanter, E. M., M. G. Shnirman, and J.-L. Le Mouël (2002), Up and down cascades: Three-dimensional magnetic field model, Phys. Rev. E, 65, (6 Pt 1):061105-06110515.
5. Bloxham, J., D. Gubbins, and A. Jackson (1989), Geomagnetic secular variation, Philos. Trans. R. Soc. London, 329, 415-502.
6. Braginsky, S. I., and P. H. Roberts (1987), A model geodynamo, Geophy. Astrophy. Fluid Dyn., 38, 327-349.
7. Brito, D., P. Cardin, H.-C. Nataf, and G. Marolleau (1995), Experimental study of a geostrophic vortex of gallium in a transverse magnetic field, Phys. Earth Planet. Inter., 91, 77-98.
8. Bullard, E. C. (1955), The stability of a homopolar dynamo, Proc. Cambridge Philos. Soc., 51, 744-760.
9. Cande, S., and D. V. Kent (1995), Revised calibration of the geomagnetic polarity timescale for the Late Cretaceous and Cenozoic, J. Geophys. Res., 100, 6093-6095.
10. Courtillot, V., J. Ducruix, and J.-L. Le Mouël (1978), Sur une accélération récente de la variation séculaire du champ magnétique terreste, C. R. Acad Sci., 287, 1095-1098.
11. Dormy, E., J. Valet, and V. Courtillot (2000), Numerical models of the geodynamo and observational constraints, Geochem. Geophys. Geosyst., 1, doi:10.1029/2000GC000062.
12. Frisch, U., J. Léorat, A. Mazure, and A. Pouquet (1975), Possibility of an inverse cascade in MHD helical turbulence, Fluid Mech., 68, 769-778.
13. Gailitis, A., O. Lielausis, S. Dement'ev, A. Cifersons, G. Gerbeth, T. Gundrun, F. Stefani, M. Christen, and G. Will (2000), Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility. Phys. Rev. Lett., 84, 4365-4366.
14. Gire, C., and J.-L. Le Mouël (1989), Tangentially geostrophic flow at the core-mantle boundary compatible with the observed geomagnetic secular variation: The large-scale component of the flow, Phys. Earth Planet. Inter., 59, 259-287.
15. Glatzmaier, G. A., and P. H. Roberts (1995a), A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle, Phys. Earth Planet. Inter., 91, 63-75.
16. Glatzmaier, G. A., and P. H. Roberts (1995b), A three-dimensional self-consistent computer simulation of a geomagnetic field reversal, Nature, 377, 203-209.
17. Guyodo, Y., and J.-P. Valet (1999), Global changes in intensity of the Earth's magnetic field during the past 800 kyr, Nature, 399, 249-252.
18. Hide, R. (1995), Structural instability of the rikitake disk dynamo, Geophys. Res. Lett., 22, 1057-1059.
19. Hollerbach, R., C. E. Barenghi, and C. A. Jones (1992), Taylor's constraint in a spherical αω dynamo, Geophys. Astrophy. Fluid Dyn., 67, 1-25.
20. Hoyng, P., M. A. Ossendrijver, and D. Schmitt (2001), The geodynamo as a bistable oscillator, Geophys. Astrophys. Fluid Dyn., 94, 263-314.
21. Hoyng, P., D. Schmitt, and M. A. Ossendrijver (2002), A theoritical analysis of the observed variability of the geomagnetic dipole field, Phys. Earth Planet. Inter., 130, 143-157.
22. Hulot, G., C. Eymin, B. Langlais, M. Mandea, and N. Olsen (2002), Small-scale structure of the geodynamo inferred from Oersted and Magsat satellite data, Nature, 416, 620-623.
23. Jault, D. (1995), Model Z by computation and the taylor's condition, Geophys. Astrophy. Fluid Dyn., 79, 99-124.
24. Jonkers, A. R. T. (2003), Long-range dependence in the Cenozoic reversal record, Phys. Earth Planet. Inter., 135, 253-266.
25. Kadanoff, L. P. (2001), Turbulent heat flow: Structures and scaling, Phys. Today, 54, 34-38.
26. Kageyama, A., and T. Sato (1997), Generation mechanism of a dipole field by a magnetohydrodynamic dynamo, Phys. Rev. E, 55, 4617-4626.
27. Krause, F., and K.-H. Rädler (1980), Mean-Field Magnetohydrodynamics and Dynamo Theory, Elsevier, New York.
28. Kuang, W., and J. Bloxham (1997), An Earth-like numerical dynamo model, Nature, 389, 371-374.
29. Labrosse, S. (2002), Hotspots, mantle plumes and core heat loss, Earth Planet. Sci. Lett., 199, 147-156.
30. Labrosse, S., J.-P. Poirier, and J.-L. Le Mouël (1997), On cooling of the Earth's core, Phys. Earth Planet. Inter., 99, 1-17.
31. Le Huy, M., M. Alexandrescu, J.-L. Le Mouël, and A. Pais (2000), Time evolution of the fluid flow at the top of the core, geomagnetic jerks, Earth Planet Space, 52, 163 -173.
32. Le Mouël, J.-L., C. J. Allègre, and C. Narteau (1997), Multiple scale dynamo, Proc. Natl. Acad. Sci. U.S.A., 94, 5510-5514.
33. Macmillan, S. (1996), A geomagnetic jerk for the early 1990's, Earth Planet. Sci. Lett., 137, 189-192.
34. Merrill, R. T., M. W. McElhinny, and P. L. McFadden (1996), The Magnetic Field of the Earth, Int. Geophys. Ser., vol. 63, Springer, New York.
35. Moffatt, H. K. (1978), Magnetic Field Generation in Electrically Conducting Fluids, Cambridge Univ. Press, New York.
36. Moffatt, H. K., and D. E. Loper (1994), The magnetostrophic rise of a buoyant parcel in the Earth's core, Geophys. J. Int., 117, 394-402.
37. Narteau, C., E. M. Blanter, J.-L. Le Mouël, M. G. Shnirman, and C. J. Allègre (2000), Reversals sequences in a multiple scale dynamo mechanism, Phys. Earth Planet. Inter., 120, 271-287.
38. Niemela, J. J., L. Skrnek, K. R. Sreenivasan, and R. J. Donnelly (2000), Turbulent convection at very high Rayleigh numbers, Nature, 404, 837-840.
39. Olson, P., U. R. Christensen, and G. A. Glatzmaier (1999), Numerical modeling of the geodynamo: Mechanisms of field generation and equilibration, J. Geophys. Res., 104, 10,383-10,404.
40. Pouquet, A., and G. Patterson (1978), Numerical simulation of helical magnetohydrodynamic turbulence, Fluid Mech., 85, 305-323.
41. 39Ar ages, Earth Planet Sci. Lett., 208, 149-163.
42. Rikitake, T. (1958), Oscillations of a system of disk dynamos, Proc. Cambridge Philos. Soc., 54, 89-105.
43. Roberts, P. H., and S. Scott (1965), On analysis of the secular variation. 1. A hydromagnetic constraint: Theory, J. Geomagn. Geoelectr, 17, 137-151.
44. Sreenivasan, K. R., A. Berhadskii, and J. J. Niemela (2002), Mean wind reversal in thermal convection, Phys. Rev. E, 65, (5 Pt 2):056306-056316.
45. Tilgner, A. (2000), Towards experimental fluid dynamos, Phys. Earth Planet. Inter., 117, 171-177.
46. Valet, J. (2003), Time variations in geomagnetic intensity, Rev. Geophys., 41(1), 1004, doi:10.1029/2001RG000104.
47. Valet, J.-P., and L. Meynadier (1993), Geomagnetic field intensity and reversals during the past four million year, Nature, 366, 234-238.
48. Wolfram, S. (1986), Theory and application of cellular automata, World Sci., Hackensack, N. J.
49. Zhang, K., and G. Schubert (2000), Magnetohydrodynamics in rapidly rotating spherical systems, Annu. Rev. Fluid Mech., 32, 409-443.