Dynamo transition in low-dimensional models

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

Volumn 78, Issue 3, 2008, Pages

  Verma, Mahendra K ^a   Lessinnes, Thomas ^b   Carati, Daniele ^b   Sarris, Ioannis ^c   Kumar, Krishna ^d   Singh, Meenakshi ^e  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^c UNIVERSITY OF THESSALY   (Greece)

^d INDIAN INSTITUTE OF TECHNOLOGY   (India)

^e PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749146169     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.036409     Document Type: Article

References (27)

1. H. K. Moffatt, Magnetic Fields Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978).
2. F. Krause and K. H. Radler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon Press, Oxford, 1980).
3. A. Brandenburg and K. Subramanian, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.06.005 417, 1 (2005).
4. R. Monchaux, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 044502 98, 044502 (2007).
5. M. Berhanu, Europhys. Lett. EULEEJ 0295-5075 77, 590001 (2007).
6. 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).
7. A. B. Iskakov, A. A. Schekochihin, S. C. Cowley, J. C. McWilliams, and M. R. E. Proctor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.208501 98, 208501 (2007).
8. A. A. Schekochihin, A. B. Iskakov, S. C. Cowley, J. C. McWilliams, M. R. E. Proctor, and T. E. Yousef, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/ 8/300 9, 300 (2007).
9. 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).
10. P. D. Mininni, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.2179055 13, 056502 (2006).
11. P. D. Mininni and D. C. Montgomery, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.056320 72, 056320 (2005).
12. A. A. Schekochihin, S. C. Cowley, S. F. Taylor, J. C. Maron, and J. C. McWilliams, Astrophys. J. ASJOAB 0004-637X 10.1086/422547 612, 276 (2004).
13. R. Stepanov and F. Plunian, J. Turbul. ZZZZZZ 1468-5248 7, 39 (2006).
14. G. Dar, M. K. Verma, and V. Eswaran, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00307-4 157, 207 (2001).
15. O. Debliquy, M. K. Verma, and D. Carati, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1867996 12, 042309 (2005).
16. M. K. Verma, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2004.07.007 401, 229 (2004).
17. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046301 72, 046301 (2005).
18. P. D. Mininni, A. Alexakis, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046302 72, 046302 (2005).
19. D. Carati, O. Debliquy, B. Knaepen, B. Teaca, and M. K. Verma, J. Turbul. ZZZZZZ 1468-5248 7, N51 (2005).
20. S. Fauve and F. Petrelis, C. R. Phys. CRPOBN 1631-0705 10.1016/j.crhy.2006.12.011 8, 87 (2007).
21. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112076002140 77, 321 (1976).
22. H. Chou, Astrophys. J. ASJOAB 0004-637X 552, 803 (2000).
23. A. Brandenburg, Astrophys. J. ASJOAB 0004-637X 10.1086/319783 550, 824 (2001).
24. M. K. Verma, Pramana PRAMCI 0304-4289 10.1007/BF02706120 61, 707 (2003).
25. T. Rikitake, Proc. Cambridge Philos. Soc. PCPSA4 0068-6735 54, 89 (1958).
26. P. Nozièrers, Phys. Earth Planet. Inter. PEPIAM 0031-9201 10.1016/0031-9201(78)90047-X 17, 55 (1978).
27. R. Donner, N. Seehafer, M. A. Sanjuán, and F. Feudel, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.08.022 223, 151 (2006).