Dynamo effect in a driven helical flow

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

Volumn 68, Issue 4 2, 2003, Pages 463021-463029

  Feudel, F ^a   Geliert, M ^a   Rudiger S ^b   Witt, A ^a   Seehafer, N ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFUSION; FOURIER TRANSFORMS; HEAT CONVECTION; INCOMPRESSIBLE FLOW; MAGNETIC FIELD EFFECTS; NAVIER STOKES EQUATIONS; PRANDTL NUMBER; PRESSURE MEASUREMENT; REYNOLDS NUMBER; VELOCITY MEASUREMENT; VISCOSITY;

CHAOTICITY; SPATIAL STRUCTURE;

MAGNETOHYDRODYNAMICS;

EID: 0346934964     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (48)

1. H.K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, England, 1978).
2. E.N. Parker, Cosmical Magnetic Fields (Clarendon Press, Oxford, 1979).
3. F. Krause and K.-H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Akademie-Verlag, Berlin, 1980).
4. Y. Zeldovich, A.A. Ruzmaikin, and D.D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
5. P.H. Roberts and A.M. Soward, Annu. Rev. Fluid Mech. 24, 459 (1992).
6. P.H. Roberts and G.A. Glatzmaier, Rev. Mod. Phys. 72, 1081 (2000).
7. A. Gailitis et al., Phys. Rev. Lett. 84, 4365 (2000).
8. A. Gailitis, O. Lielausis, E. Platacis, S. Dement'ev, A. Cifersons, G. Gerbeth, T. Gundrum, F. Stefani, M. Christen, and G. Will, Phys. Rev. Lett. 86, 3024 (2001).
9. R. Stieglitz and U. Müller, Phys. Fluids 13, 561 (2001).
10. F.H. Busse, Annu. Rev. Fluid Mech. 32, 383 (2000).
11. A. Gailitis, O. Lielausis, E. Platacis, G. Gerbeth, and F. Stefani, Rev. Mod. Phys. 74, 973 (2002).
12. A. Tilgner, Phys. Earth Planet. Inter. 117, 171 (2000).
13. F. Plunian, P. Marty, and A. Alemany, J. Fluid Mech. 382, 137 (1999).
14. A. Alemany, P. Marty, F. Plunian, and J. Soto, J. Fluid Mech. 403, 263 (2000).
15. F.H. Busse, Phys. Fluids 14, 1301 (2002).
16. F. Feudel, N. Seehafer, B. Galanti, and S. Rüdiger, Phys. Rev. E 54, 2589 (1996).
17. V.I. Arnold, C.R. Acad. Sci. Paris 261, 17 (1965).
18. V.I. Arnold and E.I. Korkina, Vestn. Mosk. Univ., Ser. 1: Mat., Mekh. 3, 43 (1983).
19. D. Galloway and U. Frisch, Geophys. Astrophys. Fluid Dyn. 36, 53 (1986).
20. B. Galanti, P.L. Sulem, and A. Pouquet, Geophys. Astrophys. Fluid Dyn, 66, 183 (1992).
21. G.O. Roberts, Philos. Trans. R. Soc. London, Ser. A 266, 535 (1970).
22. G.O. Roberts, Philos. Trans. R. Soc. London, Ser. A 271, 411 (1972).
23. A.M. Soward, J. Fluid Mech. 180, 267 (1987).
24. A.M. Soward, Geophys. Astrophys. Fluid Dyn. 49, 3 (1989).
25. A.M. Soward, in Lectures on Solar and Planetary Dynamos, edited by M.R.E. Proctor and A.D. Gilbert (Cambridge University Press, Cambridge, 1994), pp. 181-217.
26. S. Rüdiger, F. Feudel, and N. Seehafer, Phys. Rev. E 57, 5533 (1998).
27. F.H. Busse, Chaos 4, 123 (1994).
28. R. Stieglitz and U. Müller, Forschungszentrum Karlsruhe Research Report No. FZKA-5716, 1996 (unpublished).
29. F.H. Busse, U. Müller, R. Stieglitz, and A. Tilgner, in Evolution of Spontaneous Structures in Dissipative Continuous Systems, edited by F.H. Busse and S.C. Müller, Lecture Notes in Physics Vol. m55 (Springer, Berlin, 1998), pp. 546-558.
30. F.H. Busse, in Evolution of Dynamical Structures in Complex Systems, edited by R. Friedrich and A. Wunderlin, Springer Proceedings in Physics Vol. 69 (Springer, Berlin, 1992), pp. 197-208.
31. K.-H. Rädler, E. Apstein, M. Rheinhardt, and M. Schüler, Stud. Geophys. Geod. 42, 224 (1998).
32. A. Apel, E. Apstein, K.-H. Rädler, and M. Rheinhardt, Astrophysikalisches Institut Potsdam Research Report, 1996 (unpublished).
33. K.-H. Rädler, M. Rheinhardt, E. Apstein, and H. Fuchs, Magnetohydrodynamics (N.Y.) 38, 41 (2002).
34. A. Tilgner, Phys. Lett. A 226, 75 (1997).
35. A. Tilgner and F.H. Busse, in Dynamo and Dynamics, a Mathematical Challenge, Vol. 26 of NATO Advance Studies Institute, Series II: Physics, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer Academic, Dordrecht, 2001), pp. 109-116.
36. A. Tilgner and F.H. Busse, Magnetohydrodynamics (N.Y.) 38, 35 (2002).
37. K.-H. Rädler, M. Rheinhardt, E. Apstein, and H. Fuchs, Magnetohydrodynamics (N.Y.) 38, 73 (2002).
38. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. 77, 321 (1976).
39. M. Meneguzzi, U. Frisch, and A. Pouquet, Phys. Rev. Lett. 47, 1060 (1981).
40. A. Brandenburg, Astrophys. J. 550, 824 (2001).
41. F. Feudel, N. Seehafer, and O. Schmidtmann, Phys. Lett. A 202, 73 (1995).
42. J.D. Crawford and E. Knobloch, Annu. Rev. Fluid Mech. 23, 341 (1991).
43. D. Sweet, E. Ott, J.M. Finn, T.M. Antonsen, and D.P. Lathrop, Phys. Rev. E 63, 066211 (2001).
44. T. Dombre, U. Frisch, J.M. Greene, M. Hénon, A. Mehr, and A.M. Soward, J. Fluid Mech. 167, 353 (1986).
45. S. Childress and A.D. Gilbert, Stretch, Twist, Fold: The Fast Dynamo, Lecture Notes in Physics Vol. m37 (Springer, Berlin, 1995).
46. V.I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1978).
47. A.J. Lichtenberg and M.A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992).
48. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1983).