Cascade and dynamo action in a shell model of magnetohydrodynamic turbulence

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 4, 1998, Pages 4155-4164

  Frick, Peter ^a   Sokoloff, Dmitriy ^b  

^a INSTITUTE OF CONTINUOUS MEDIA MECHANICS   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001747490     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4155     Document Type: Article

References (35)

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 261, 405 (1950).
3. A. P. Kazantsev, Sov. Phys. JETP 26, 1031 (1968).
4. R. H. Kraichnan and S. Nagarajan, Phys. Fluids 10, 859 (1967).
5. S. I. Vainstein, Zh. Eksp. Teor. Fiz. 58, 153 (1970) [Sov. Phys. JETP 31, 87 (1970)].
6. S. I. Vainstein, Zh. Eksp. Teor. Fiz. 83, 161 (1988) [Sov. Phys. JETP 56, 86 (1982)].
7. V. G. Novikov, A. A. Ruzmaikin, and D. D. Sokoloff, Zh. Eksp. Teor. Fiz. 85, 909 (1983) [Sov. Phys. JETP 58, 527 (1983)].
8. Ya. B. Zeldovich, S. A. Molchanov, A. A. Ruzmaikin, and D. D. Sokoloff, Sov. Sci. Rev. Math. Phys. 7, 1 (1988).
9. M. Meneguzzi, U. Frisch, and A. P. Pouquet, Phys. Rev. Lett. 47, 1060 (1981).
10. A. P. Kazantsev, A. A. Ruzmaikin, and D. D. Sokoloff, Zh. Eksp. Teor. Fiz. 88, 487 (1985) [Sov. Phys. JETP 61, 285 (1985)].
11. A. A. Ruzmaikin and A. M. Shukurov, Astrophys. Space Sci. 82, 397 (1982).
12. R. M. Kulsrud and S. W. Anderson, Astrophys. J. 396, 606 (1992).
13. R. S. Iroshnikov, Sov. Astron. 40, 742 (1963).
14. R. H. Kraichnan, Phys. Fluids 8, 1385 (1965).
15. A. A. Ruzmaikin, P. C. Liewer, and J. Feynman, Geophys. Astrophys. Fluid Dyn. 73, 163 (1993).GAFDD3
16. A. D. Poezd and D. D. Sokoloff, Astron. Rep. 31, 197 (1993).
17. J. M. Finn and E. Ott, Phys. Rev. Lett. 60, 760 (1988).
18. S. Childress and A. D. Gilbert, Stretch, Twist, Fold: The Fast Dynamo (Springer, Berlin, 1995).
19. P. Frick, Magn. Gidrodin. 1, 60 (1983) [Magnetohydrodynamics 20, 262 (1984).
20. C. Gloaguen, J. Leorat, A. Pouquet, and R. Grappin, Physica D 17, 154 (1985).
21. R. Grappin, J. Leorat, and A. Pouquet, J. Phys. (France) 47, 1127 (1986).
22. V. Carbone, Phys. Rev. E 50, 671 (1994); PLEEE8
23. V. CarboneEurophys. Lett. 27, 581 (1994).
24. A. Brandenburg, K. Enquist, and P. Olesen, Phys. Rev. D 54, 1291 (1996).
25. D. Biskamp, Phys. Rev. E 50, 2702 (1994).PLEEE8
26. L. Kadanoff, D. Lohse, J. Wang, and R. Benzi, Phys. Fluids 7, 617 (1995).
27. Ya. B. Zeldovich, Zh. Eksp. Teor. Fiz. 31, 154 (1956) [Sov. Phys. JETP 4, 460 (1957)].
28. Ya. B. Zeldovich, A. A. Ruzmaikin, S. A. Molchanov, and D. D. Sokoloff, J. Fluid Mech. 144, 1 (1984).JFLSA7
29. E. B. Gledzer, Dokl. Akad. Nauk. SSSR 209, 1046 (1973) [Sov. Phys. Dokl. 18, 216 (1973)].SPHDA9
30. V. N. Desnjansky and E. A. Novikov, J. Appl. Math. Mech. 38, 468 (1974).
31. L. Biferale, A. Lambert, R. Lima, and G. Paladin, Physica D 80, 105 (1995).
32. M. Yamada and K. Ohkitani, J. Phys. Soc. Jpn. 56, 4210 (1987).
33. P. Frick, B. Dubrulle, and A. Babiano, Phys. Rev. E 51, 5582 (1995).PLEEE8
34. S. A. Molchanov, A. A. Ruzmaikin, and D. D. Sokoloff, Geophys. Astrophys. Fluid Dyn. 30, 241 (1984).GAFDD3
35. R. Benzi, S. Ciliberto, C. Baudet, F. Massaioli, R. Tripiccione, and S. Succi, Phys. Rev. E 48, 29 (1993). PLEEE8