Critical Magnetic Prandtl Number for Small-Scale Dynamo

Physical Review Letters

Volumn 92, Issue 5, 2004, Pages 545021-545024

  Schekochihin, Alexander A ^a,e   Cowley, Steven C ^a,b   Maron, Jason L ^c,d   McWilliams, James C ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF ROCHESTER   (United States)

^d UNIVERSITY OF IOWA   (United States)

^e UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CHAOS THEORY; COMPUTER SIMULATION; CORRELATION METHODS; DIFFUSION; HEURISTIC METHODS; PRANDTL NUMBER; REYNOLDS NUMBER; SPECTRUM ANALYSIS; TURBULENT FLOW; VISCOSITY;

CONDUCTING FLUID; SMALL-SCALE DYNAMO;

MAGNETOHYDRODYNAMICS;

EID: 1642294293     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978).
2. G. K. Batchelor, Proc. R. Soc. London Ser. A 201, 405 (1950).
3. S. Childress and A. Gilbert, Stretch, Twist, Fold: The Fast Dynamo (Springer, Berlin, 1995).
4. Y.B. Zeldovich et al., J. Fluid Mech. 144, 1 (1984).
5. P. H. Roberts and G. A. Glatzmaier, Rev. Mod Phys. 72, 1081 (2000).
6. A. Gailitis et al., Rev. Mod Phys. 74, 973 (2002).
7. M. Bourgoin et al., Phys. Fluids 14, 3046 (2002).
8. C.B. Forest et al., Magnetohydrodyn. 38, 107 (2002).
9. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
10. E. Ott, Phys. Plasmas 5, 1636 (1998).
11. A. Schekochihin et al., Phys. Rev. E 65, 016305 (2002).
12. A.A. Schekochihin et al., astro-ph/0312046 [Astrophys. J. (to be published)].
13. M. Chertkov et al., Phys. Rev. Lett. 83, 4065 (1999).
14. K. Moffatt, J. Fluid Mech. 11, 625 (1961).
15. S. I. Vainshtein, Magnetohydrodya 28, 123 (1982).
16. This point was made to us by M. Vergassola (private communication).
17. A. P. Kazantsev, Zh. Eksp. Teor. Fiz. 53, 1806 (1967) [Sov. Phys. JETP 26, 1031 (1968)].
18. A. P. Kazantsev, Zh. Eksp. Teor. Fiz. 53, 1806 (1967) [Sov. Phys. JETP 26, 1031 (1968)].
19. M. Vergassola, Phys. Rev. E 53 (1996).
20. I. Rogachevskii and N. Kleeorin, Phys. Rev. E 56, 417 (1997).
21. D. Vincenzi, J. Stat. Phys. 106, 1073 (2002).
22. c independent of Re [J. Léorat et al., J. Fluid Mech. 104, 419 (1981)].
23. S. Boldyrev and F. Cattaneo, astro-ph/0310780.
24. U. Christensen et al., Geophys. J. Int. 138, 393 (1999).
25. F. Cattaneo, in Modeling of Stellar Atmospheres, edited by N.E. Piskunov et al., ASP Conf. Ser. (IAU Publications, 2002), Vol. S-210.
26. G.S. Golitsyn, Dokl. Acad. Nauk SSSR 132, 315 (1960) [Sov. Phys. Dokl. 5, 536 (1960)].
27. G.S. Golitsyn, Dokl. Acad. Nauk SSSR 132, 315 (1960) [Sov. Phys. Dokl. 5, 536 (1960)].
28. Y. Ponty et al., physics/0311130.