Statistical dynamo theory: Mode excitation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

  Hoyng, P ^a  

^a SRON NETHERLANDS INSTITUTE FOR SPACE RESEARCH   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY DISTRIBUTION; ARBITRARY SHAPE; AUTOCORRELATION FUNCTIONS; BASE FUNCTION; BIORTHOGONAL; COHERENCE TIME; CONVECTIVE CELL; CROSS CORRELATIONS; DYNAMO EQUATIONS; DYNAMO THEORIES; EIGEN FUNCTION; EIGEN MODES; EIGENVALUES; EXCITATION LEVELS; EXPANSION COEFFICIENTS; FIRST-ORDER; FLUID FLOW; FUNCTION SETS; FUNDAMENTAL MODES; LINEAR PROBLEMS; LINEAR THEORY; MAGNETIC ENERGIES; MODE EXCITATION; MULTIPOLE COEFFICIENT; SHORT-CORRELATION; SPATIAL SCALE; STATISTICAL PROPERTIES; STOCHASTIC DIFFERENTIAL EQUATIONS; TIME EVOLUTIONS; TURBULENT CONVECTION;

DC GENERATORS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FLOW OF FLUIDS; INTERACTIVE DEVICES; MAGNETIC FIELD EFFECTS; MAGNETOHYDRODYNAMICS; REGRESSION ANALYSIS;

SET THEORY;

EID: 66049162135     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046320     Document Type: Article

References (37)

1. G. Rüdiger and R. Hollerbach, The Magnetic Universe (Wiley-VCH, Weinheim, 2004).
2. G. A. Glatzmaier and P. H. Roberts, Nature (London) 377, 203 (1995). 10.1038/377203a0
3. W. Kuang and J. Bloxham, Nature (London) 389, 371 (1997). 10.1038/38712
4. U. R. Christensen, P. Olson, and G. A. Glatzmaier, Geophys. Res. Lett. 25, 1565 (1998). 10.1029/98GL00911
5. F. Takahashi, M. Matsushima, and Y. Honkura, Science 309, 459 (2005). 10.1126/science.1111831
6. U. R. Christensen and J. Wicht, in Treatise on Geophysics, edited by, P. Olson, (Elsevier, Amsterdam, 2007), Vol. 8, p. 245.
7. A. Kageyama and T. Sato, Phys. Rev. E 55, 4617 (1997). 10.1103/PhysRevE.55.4617
8. P. Olson, U. Christensen, and G. A. Glatzmaier, J. Geophys. Res. 104, 10383 (1999). 10.1029/1999JB900013
9. F. Krause and K. H. Rädler, Mean Field Magnetohydrodynamics and Dynamo Theory (Akademie-Verlag, Berlin, 1980).
10. J. Wicht and P. Olson, Geochem., Geophys., Geosyst. 5, Q03H10 (2004). 10.1029/2003GC000602
11. M. Schrinner, K. H. Rädler, D. Schmitt, M. Rheinhardt, and U. R. Christensen, Geophys. Astrophys. Fluid Dyn. 101, 81 (2007). 10.1080/ 03091920701345707
12. J. Wicht, S. Stellmach, and H. Harder, in Geomagnetic Field Variations, edited by, K. H. Glassmeier, H. Soffel, and, J. Negendank, (Springer, New York, 2008), p. 107.
13. K. H. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, England, 1978).
14. W. M. Elsasser, Phys. Rev. 69, 106 (1946) 10.1103/PhysRev.69.106
15. W. M. Elsasser, Phys. Rev. 70, 202 (1946). 10.1103/PhysRev.70.202
16. N. G. van Kampen, Phys. Rep. 24, 171 (1976). 10.1016/0370-1573(76)90029-6
17. F. Cattaneo and S. M. Tobias, J. Fluid Mech. 621, 205 (2009). 10.1017/S0022112008004990
18. A. Tilgner and A. Brandenburg, Mon. Not. R. Astron. Soc. 391, 1477 (2008). 10.1111/j.1365-2966.2008.14006.x
19. P. Hoyng, M. A. J. H. Ossendrijver, and D. Schmitt, Geophys. Astrophys. Fluid Dyn. 94, 263 (2001). 10.1080/03091920108203410
20. P. Hoyng, Astrophys. J. 332, 857 (1988). 10.1086/166697
21. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. 77, 321 (1976). 10.1017/S0022112076002140
22. P. Hoyng and N. A. J. Schutgens, Astron. Astrophys. 293, 777 (1995).
23. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
24. M. Schrinner, J. Jiang, D. Schmitt and P. Hoyng, Mon. Not. R. Astron. Soc. (to be published).
25. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, New York, 1978).
26. N. G. van Kampen, Physica (Amsterdam) 74, 215 (1974) 10.1016/0031- 8914(74)90121-9
27. N. G. van Kampen, Physica (Amsterdam) 74, 239 (1974). 10.1016/0031-8914(74)90122-0
28. P. Hoyng, in Advances in Nonlinear Dynamos, edited by, A. Ferriz-Mas, and, M. Núñez, (Taylor & Francis, New York, 2003), p. 1.
29. We use a lower index on λi to avoid a summation over i. Summation is implied over double upper indices, but not over mixed upper and lower double indices.
30. P. Hoyng, Astron. Astrophys. 171, 357 (1987).
31. J. H. G. M. van Geffen and P. Hoyng, Astron. Astrophys. 213, 429 (1989).
32. P. Hoyng and J. H. G. M. van Geffen, Geophys. Astrophys. Fluid Dyn. 68, 203 (1993). 10.1080/03091929308203568
33. R. T. Merrill, M. W. McElhinny, and P. L. McFadden, The Magnetic Field of the Earth (Academic Press, New York, 1996).
34. C. G. Constable and R. L. Parker, J. Geophys. Res. 93, 11569 (1988). 10.1029/JB093iB10p11569
35. G. Hulot and J. L. Le Mouël, Phys. Earth Planet. Inter. 82, 167 (1994). 10.1016/0031-9201(94)90070-1
36. A. Anufriev and D. Sokoloff, Geophys. Astrophys. Fluid Dyn. 74, 207 (1994). 10.1080/03091929408203639
37. P. Hoyng, Sol. Phys. 169, 253 (1996). 10.1007/BF00190603