Shell-to-shell energy transfer in magnetohydrodynamics. II. Kinematic dynamo

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

Volumn 72, Issue 4, 2005, Pages

  Mininni, Pablo ^a   Alexakis, Alexandros ^a   Pouquet, Annick ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINEMATIC DYNAMO REGIME; MAGNETIC FIELD AMPLIFICATION; MAGNETIC FIELD ENERGY; TAYLOR-GREEN FLOW;

DYNAMOMETERS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; THREE DIMENSIONAL; TURBULENT FLOW; WAVE EQUATIONS;

ENERGY TRANSFER;

EID: 28844445611     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.046302     Document Type: Article

References (29)

1. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, England, 1978).
2. M. Dikpati and P. Charbonneau, Astrophys. J. ASJOAB 0004-637X 518, 508 (1999).
3. F. Cattaneo, Astrophys. J. Lett. AJLEAU 0004-637X 10.1086/311962 515, L39 (1999).
4. S. I. Vainshtein and Y. B. Zeldovich, Sov. Phys. Usp. SOPUAP 0038-5670 15, 159 (1972).
5. M. Steenbeck, F. Krause, and K.-H. Raedler, Z. Naturforsch. A ZENAAU 0044-3166 21, 369 (1966).
6. F. Krause and K.-H. Raedler, Mean-field Magnetohydrodynamics and Dynamo Theory (Pergamon Press, New York, 1980).
7. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. JFLSA7 0022-1120 77, 321 (1976).
8. M. Meneguzzi, U. Frisch, and A. Pouquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47.1060 47, 1060 (1981).
9. A. Brandenburg, Astrophys. J. ASJOAB 0004-637X 10.1086/319783 550, 824 (2001).
10. D. O. Gómez and P. D. Mininni, Nonlinear Processes Geophys. 1023-5809 11, 619 (2004).
11. A. Gilbert, U. Frisch, and A. Pouquet, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 42, 151 (1988).
12. C. Nore, M. E. Brachet, H. Politano, and A. Pouquet, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.872578 4, 1 (1997).
13. V. Urpin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026301 65, 026301 (2002).
14. U. Geppert and M. Rheinhardt, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:20020978 392, 1015 (2002).
15. A. P. Kazanstev, Sov. Phys. JETP SPHJAR 0038-5646 26, 1031 (1968).
16. Y. B. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983).
17. A. A. Schekochihin, S. Boldyrev, and R. M. Kulsrud, Astrophys. J. ASJOAB 0004-637X 10.1086/338697 567, 828 (2002).
18. N. E. L. Haugen, A. Brandenburg, and W. Dobler, Astrophys. J. Lett. AJLEAU 0004-637X 10.1086/380189 597, L141 (2003).
19. A. A. Schekochihin, S. C. Cowley, S. F. Taylor, J. L. Maron, and J. C. McWilliams, Astrophys. J. ASJOAB 0004-637X 612, 276 (2004).
20. S. Boldyrev, F. Cattaneo, and R. Rosner, e-print astro-ph/0504588.
21. G. K. Batchelor, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 201, 405 (1950).
22. A. A. Schekochihin, S. C. Cowley, J. L. Maron, and J. C. McWilliams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.054502 92, 054502 (2004).
23. Y. Ponty, P. D. Mininni, D. C. Montgomery, J.-F. Pinton, H. Politano, and A. Pouquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.164502 94, 164502 (2005).
24. K. Subramanian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2957 83, 2957 (1999).
25. A. Alexakis, P. D. Mininni, and A. Pouquet, preceeding paper, Phys. Rev. E PLEEE8 1063-651X 72, 046301 (2000).
26. G. Dar, M. Verma, and V. Eswaran, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00307-4 157, 207 (2001).
27. O. Debliquy, M. Verma, and D. Carati, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1867996 12, 042309 (2005).
28. P. D. Mininni, Y. Ponty, D. C. Montgomery, J.-F. Pinton, H. Politano, and A. Pouquet, Astrophys. J. ASJOAB 0004-637X 10.1086/429911 626 853 (2005).
29. P. D. Mininni, D. C. Montgomery, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046304 71, 046304 (2005).