Helical shell models for MHD turbulence

Magnetohydrodynamics

Volumn , Issue 2, 2009, Pages 193-202

  Lessinnes, T ^a   Carati, D ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

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EID: 71149106522     PISSN: 0024998X     EISSN: None     Source Type: Journal    
DOI: 10.22364/mhd.45.2.8     Document Type: Article

References (25)

1. R.E. Rosensweig. Ferrohydrodynamics (Cambridge University Press, New York, 1985).
2. S.A. Langer, R.E. Goldstein, and D.P. Jackson. Dynamics of labyrinthine pattern formation in magnetic fluids. Phys. Rev. A., vol. 46 (1992), no. 8, pp. 4894-4904.
3. H. Branover, A. Eidelman, and M. Nagorny. Recent results related to blanket technology. Magnetohydrodynamics, vol. 31 (1995), no. 3, pp. 322-327.
4. B. Sreenivasan and T. Alboussiére. Study of an isolated vortex subject to a uniform magnetic field. In: Proc. the Fourth International Pamir Conference on Magnetohydrodynamics at Dawn of Third Millennium (Presquîle de Giens, France, 2000), vol. 1, pp. 81-86.
5. F. Elias. Organisation de motifs bidimensionnels de ferrofluide: le cas de la structure cellulaire. (Ph.D. Thesis, Université Paris VII, 1998).
6. H.K. Moffat. Magnetic Fields Generation in Electrically Conducting Fluids. (Cambridge University Press, 1978).
7. F. Krause, and K.H. Radler. Mean-Field Magnetohydrodynamics and Dynamo Theory (Cambdrige, Pergamon Press, Oxford, 1980).
8. A. Brandenburg, and K. Subramanian. Phys. Rep., 417(1), 2005.
9. R. Monchaux, M. Berhanu, M. Moulin, and P. Odier. Phys. Rev. Lett., 98, 2007.
10. M. Berhanu, R. Monchaux, S. Fauve, and N. Mordant. Europhys. Lett., 77, 2007.
11. D. Biskamp. Nonlinear Magnetohydrodynamics (Press Syndicate, Cambridge, 1993).
12. A. Gailitis, O. Lielausis, S.Dement'ev, E.Platacis, A. Cifersons, G. Gerbeth, T. Gundrum, F. Stefani, M. Christen, H. Hanel, G. Will. Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility. Phys. Rev. Lett., 84(19), 2000.
13. L. Malyshkin, and S. Boldyrev. Magnetic dynamo action in helical turbulence. Astrophys. J. Lett., vol. 671 (2), pp. L185-L188, 2007.
14. S. Sur, A. Brandenburg, and K. Subramanian. Kinematic alpha-effect in isotropic turbulence simulations. Mon. Not R. Astron. Soc, vol. 385 (1), pp. L15-L19, 2008.
15. P.W. Livermore, D.W. Hughes, and S.M. Tobias. The role of helicity and stretching in forced kinematic dynamos in a spherical shell. Phys. Fluids, vol. 19 (5), pp. 057101, 2007.
16. E.B. Gletzer. Soviet Phys., Doklady, 18 (216), 1973 (in Russ.).
17. M. Yamada and K. Ohkitani. Lyapounov spectrum of a chaotic model of three-dimensionnal turbulence. Journal of the Physical Society of Japan, 56, 1987.
18. P. Frick and S. Sokoloff. Cascade and dynamo action in a shell model of magnetohydrodynamic turbulence. Phys. Rev. E, 57(4), 1998.
19. R. Stepanov and F. Plunian. Fully developed turbulent dynamo at low magnetic Prandtl numbers. Journal of Turbulence, 7 (39), 2006.
20. R. Benzi, L. Biferale, R.M. Kerr, and E. Trovatore. Helical shell models for three-dimensional turbulence. Phys. Rev. E, 53 (4), 1996.
21. F. Waleffe. The nature of triad interactions in homogeneous turbulence. Phys. Fluids A, 4 (2), 1992.
22. R. Benzi, L. Biferale, and E. Trovatore. Universal statistics of nonlinear energy transfer in turbulent models. Phys. Rev. Lett., 77 (15), 1996.
23. L. Biferale, D. Pierotti, and F. Toschi. Helicity transfer in turbulent models. Phys. Rev. E, 53 (3), 1996.
24. T. Lessinnes, M. Verma, and D. Carati. Energy transfers in shell models of magnetohydrodynamic turbulence (in preparation).
25. P. Giuliani and V. Carbone. A note on shell models for MHD turbulence. Europhys. Lett., 43 (5) 527-532, 1998.