Tidal excitation of elliptical instability in the Martian core: Possible mechanism for generating the core dynamo

Journal of Geophysical Research: Planets

Volumn 113, Issue 6, 2008, Pages

  Arkani Hamed, Jafar ^a,b   Seyed Mahmoud, B ^c   Aldridge, K D ^d   Baker, R E ^d  

^a UNIVERSITY OF TORONTO   (Canada)

^b MCGILL UNIVERSITY   (Canada)

^c UNIVERSITY OF LETHBRIDGE   (Canada)

^d YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CORE (PLANETARY); EXPERIMENTAL STUDY; GEODYNAMO; IMPACT STRUCTURE; INSTABILITY; LABORATORY METHOD; MAGNETIC FIELD; MARS; ORBITAL FORCING;

EID: 49849104518     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007JE002982     Document Type: Article

References (62)

1. Acuna, M. H., et al. (1999), Global distribution of crustal magnetization discovered by the Mars Global Surveyor MAG/ER experiment, Science, 284, 790-793.
2. Aldridge, K. D., and R. Baker (2003), Paleomagnetic intensity data: A window on the dynamics of Earth's fluid core?, Phys. Earth Planet. Inter., 140, 91-100.
3. Aldridge, K. D., B. Seyed-Mahmoud, G. A. Henderson, and W. van Wijngaarden (1997), Elliptical instability of the Earth's fluid core, Phys. Earth Planet. Inter., 103, 365-374.
4. Aldridge, K. D., R. E. Baker, and D. G. Mcmillan (2007), Rotating parametric instability in early Earth, Geophys. Astrophys. Fluid Dyn., 101(5 -6), 507-520.
5. Alfvén, H., and G. Arrhenius (1976), National Aeronautics and Space Administration, Washington, D. C., NASA series.
6. Antretter, M., M. Fuller, E. Scott, M. Jackson, B. Moskowitz, and P. Soleid (2003), Paleomagnetic record of Martian meteorite ALH84001, J. Geophys. Res., 108(E6), 5049, doi:10.1029/2002JE001979.
7. Arkani-Hamed, J. (2004), Timing of the Martian core dynamo, J Geophys. Res., 109, 1-12, E03006, doi:10.1029/2003JE002195.
8. Arkani-Hamed, J. (2005a), On the possibility of sing-domain/ pseudo-single-domain magnetic particles existing in the lower crust of Mars: Source of the. strong magnetic anomalies, J Geophys. Res., 110, E12009, doi:10.1029/2005JE002535.
9. Arkani-Hamed, J. (2005b), Giant impact basins trace the ancient equator of Mars, J Geophys. Res., 110, E04012, doi:10.1029/2004JE002342.
10. Arkani-Hamed, J. (2005c), Magnetic crust of.Mars, J. Geophys. Res., 110, E08005, doi:10.1029/2004JE002397.
11. Arkani-Hamed, J., and G. Celetti (1989), Effects of thermal remanent magnetization on the magnetic anomalies of intrusives, J. Geophys. Res., 94, 7364-7378.
12. Baker, R. E., and K. D. Aldridge (2004), Paleomagnetic intensity data as a time sequence: Opening a window into dynamics of Earth's fluid core?, in Timescales of the Paleomagnetic Field, Geophys. Monogr Ser., vol. 145, edited by J. E. T. Channell et al., pp. 245-254, AGU.
13. Baker, R. E., D. G. McMillan, L. I. Lumb, and K. D. Aldridge (2006), Chronology errors and their effects on the recovery of characteristic time scales of the geodynamo from relative paleointensity, Phys. Earth. Planet. Inter., 159, 267-275.
14. Bertotti, B., and P. Farinella (1990), Physics of the Earth and Solar System, Springer, New York.
15. Bills, B. G., G. A. Neumann, D. E. Smith, and M. T. Zuber (2005), Improved estimate of tidal dissipation within Mars from MOLA observations of the shadow of Phobos, J. Geophys. Res., 110, E07004, doi:10.1029/2004JE002376.
16. Breuer, D., and T. Spohn (2003), Early plate tectonics versus single-plate tectonics on Mars: Evidence from magnetic field history and crust evolution, J. Geophys. Res., 108(E7), 5072, doi:10.1029/ 2002JE001999.
17. Collinson, D. W. (1997), Magnetic properties of Martian meteorites: Implications for an ancient Martian magnetic field, Planet. Sci., 32, 803-811.
18. Gailitis, A., O. Lielausis, E. Platacis, S. Dement'ev, A. Cifersons, G. Gerbeth, T. Gundrum, F. Stefani, M. Christen, and G. Will (2001), Magnetic field saturation in the Riga dynamo experiment, Phys. Rev. Lett., 86, 3024-3027.
19. Gledzer, E. B., and V. M. Ponomarev (1977a), Finite-dimensional approximation of the motions of an incompressible fluid in an ellipsoidal cavity, Isv. Atmos. Ocean. Phys., 13, 565-569.
20. Gledzer, E. B., and V. M. Ponomarev (1977b), On the forced motion of fluid within an ellipsoid, Isv. Atmos. Ocean. Phys., 13, 687-689.
21. Gledzer, E. B., and V. M. Ponomarev (1992), Instability of bounded flows with elliptical streamlines, J Fluid Mech., 240, 1-30.
22. Greenspan, H. P. (1969), The Theory of Rotating Fluids, Cambridge Univ. Press, Cambridge, UK.
23. Halliday, A. N., H. Wanke, J.-L. Birk, and R. N. Clayton (2001), The accretion, composition and early differentiation of Mars, Space Sci. Rev., 96, 197-230.
24. Hauck, S. A., II, and R. J. Phillips (2002), Thermal and crustal evolution of Mars, J. Geophys. Res., 107(E7), 5052, doi:10.1029/ 2001JE001801.
25. Hood, L. L., N. C. Richmond, E. Pierazzo, and P. Rochette (2003), Distribution of crustal magnetic fields on Mars: Shock effects of basin-forming impacts, Geophys. Res. Lett., 30(10), 1281, doi: 10.1029/2002GLO16657.
26. Johnson, C. L., and R. J. Phillips (2005), Evolution of the Tharsis region of Mars: Insights from magnetic field observations, Earth Planet. Sci. Lett., 230, 241-254.
27. Kerswell, R. R. (1993), The instability of precessing flow, Geophys. Astrophys. Fluid Dyn., 72, 107-114.
28. Kerswell, R. R. (1994), Tidal excitation of hydrodynamic waves and their damping in the Earth, J. Fluid Mech., 274, 219-241.
29. Kerswell, R. R. (2002), Elliptical instability, Annu. Rev. Fluid Mech., 34, 83-113.
30. Kerswell, R. R., and W. V R. Malkus (1998), Tidal instability as the source for Io's magnetic signature, Geophys. Res. Lett., 25, 603-606.
31. Kirschvink, J. L., A. T. Maine, and H. Vali (1997), Paleomagnetic evidence of a low-temperature origin of carbonate in the Martian meteorite ALH84001, Science, 275, 1629-1633.
32. Lacaze, L., P. Le Gal, and S. Le Dizès (2004), Elliptical instability in a rotating spheroid, Phys. Earth. Planet. Inter., 505, 1-22.
33. Lacaze, L., P. Le Gal, and S. Le Dizès (2005), Elliptical instability of the flow in a rotating shell, Phys. Earth. Planet. Inter., 151, 194-205.
34. Lacaze, L., W. Herreman, M. Le Bars, S. Le Dizès, and P. Le Gal (2006), Magnetic field induced by elliptical instability in a rotating spheroid, Geophys. Astrophys. Fluid Dyn., 100, 299-317.
35. Lambeck, K. (1990), The Earth's Variable Rotation: Geophysical Causes and Consequences, Cambridge Univ. Press, New York.
36. Loper, D. E. (1975), Torque balance and energy budget for the precessionally driven dynamo, Phys. Earth Planet. Inter., 11, 43-60.
37. Malkus, W. V. R. (1989), An experimental study of global instability due to tidal (elliptical) distortion of a rotating elastic cylinder, Geophys. Astrophys. Fluid Dyn., 48, 123-134.
38. McKenzie, D. P. (1967), The viscosity of the mantle, Geophys. J. R. Astron. Soc., 14, 297-305.
39. Moffatt, H. K. (1970), Dynamo action associated with random inertial waves in a rotating conducting fluid, J. Fluid Mech., 44, 705-719.
40. Mohit, P. S., and J. Arkani-Hamed (2004), Impact demagnetization of the Martian crust, Icarus, 168, 305-317.
41. Monchaux, R., et al, (2007), Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium, Phys. Rev. Lett., 98, 044502.
42. Nimmo, F., and D. J. Stevenson (2000), Influence of early plate tectonics on the thermal evolution and magnetic field of Mars, J Geophys. Res., 105, 11,969-11,979.
43. Olson, P. (1981), A simple physical model for the terrestrial dynamo, J. Geophys. Res., 86, 10,875-10,880.
44. Phillips, R. J., et al. (2001), Ancient geodynamics and global-scale hydrology on Mars, Science, 291, 2587-2591.
45. Rochester, M. G., J. A. Jacobs, D. E. Smylie, and K. F. Chong (1975), Can precession power the geomagnetic dynamo?, Geophys. J., 43, 661-678.
46. Schubert, G., C. T. Russell and W. B. Moore (2000), Timing of the Martian dynamo, Nature, 408, 666-667.
47. Seyed-Mahmoud, B. (1999), Elliptical instability in rotating ellipsoidal fluid shells: Applications to the Earth's fluid core, Ph.D. thesis, York University, Toronto, Canada,
48. Seyed-Mahmoud, B., G. Henderson, and K. Aldridge (2000), A numerical model for the elliptical instability of the Earth's fluid outer core, Phys. Earth Planet. Inter., 117, 51-61.
49. Seyed-Mahmoud, B., K. Aldridge, and G. Henderson (2004), Elliptical instability in rotating ellipsoidal fluid shells: Application to the Earth's fluid core, Phys. Earth Planet. Inter., 14, 257-282.
50. Seyed-Mahmoud, B., J. Heikoop, and R. Seyed-Mahmoud (2007), Inertial modes of a compressible fluid core model, Astrophys. Geophys. Fluid Dyn., 101(5), 489-505.
51. Singer, H. A., and P. L. Olson (1984), Dynamo action in a stably stratified core, Geophys. J., 78, 371-387.
52. Solomon, S., et al. (2005), New perspectives on ancient Mars, Science, 307, 1214-1220.
53. Spohn, T., M. H. Acuna, D. Breuer, M. Golombek, R. Greeley, A. Halliday, E. Hauber, R. Jaumann, and F. Sohl (2001), Geophysical constraints on the evolution of Mars, Space Sci. Rev., 96, 231-262.
54. Stevenson, D. J. (2001), Mars'core and magnetism, Nature, 412, 214-219.
55. Stevenson, D. J., T. Spohn, and G. Schubert (1983), Magnetism and thermal evolution of the terrestrial planets, Icarus, 54, 466-489.
56. Stieglitz, R., and U. Müller (2001), Experimental demonstration of a homogeneous two-scale dynamo, Phys. Fluids, 13, 561-564.
57. Suess, S. T. (1971), Viscous flow in a deformable rotating container, J. Fluid Mech., 45, 189-201.
58. Tilgner, A. (2005), Precession driven dynamos, Phys. Fluids, 17, 0341042005.
59. Vladimirov, V. A., and D. G. Vostretsov (1986), Instability of steady flow with constant vorticity in vessels of elliptic cross-section, PMM Journal of Applied Mathematics and Mechanics U. S. S. R. 50(3), 974.
60. Weiss, B. P., H. Vali, F. J. Baudenbacher, J. L. Kirschvink, S. T. Stewart, and D. L. Schuster (2002), Records of an ancient Martian field in ALH84001, Earth Planet. Sci. Lett., 201, 449-463.
61. Yoder, C. F., and E. M. Standish (1997), Martian precession and rotation from Viking lander, J Geophys. Res., 102, 4056-4080.
62. Yoder, C. F., A. S. Konopliv, D. N. Yuan, E. M. Standish, and W. M. Folkner (2003), Fluid core size of Mars from detection of the solar tide, Science, 300, 299-303.