Von Kármán-Howarth relationship for helical magnetohydrodynamic flows

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

Volumn 68, Issue 2 2, 2003, Pages

  Politano, H ^a   Gomez, T ^b   Pouquet, A ^c  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; INCOMPRESSIBLE FLOW; INTEGRAL EQUATIONS; KINETIC ENERGY; MAGNETIC FIELDS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TENSORS; TURBULENT FLOW; VECTORS;

ELECTROMOTIVE FORCE; HELICAL FLOW; MAGNETIC HELICITY; MAGNETIC POTENTIAL; VON KARMAN-HOWARTH FORMULATION;

MAGNETOHYDRODYNAMICS;

EID: 42749099074     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

1. L. Onsager Nuovo Cimento, Suppl. 2, 279 (1949).
2. R.H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 43, 547 (1980).
3. D. Benney and A. Newell, Stud. Appl. Math. 48, 29 (1969).
4. V. Zakharov, in Handbook of Plasma Physics, edited by M. Rosenbluth and R. Sagdeev (Elsevier, New York, 1984), Vol. 2, p. 1.
5. T. von Kármán and L. Howarth, Proc. R. Soc. London, Ser. A 164, 192 (1938).
6. A.M. Yaglom, Dokl. Akad. Nauk SSSR 69, 743 (1949).
7. P. Caillol, Rapport de D.E.A. (unpublished).
8. H. Politano and A. Pouquet, Phys. Rev. E 57, R21 (1998).
9. H. Politano and A. Pouquet, J. Geophys. Lett. 25, 273 (1998).
10. T. Gomez, H. Politano, and A. Pouquet, Phys. Rev. E 61, 5321 (2000).
11. O. Chkhetiani, Pis'ma Zh. Eksp. Teor. Fiz. 63, 768 (1996) [JETP Lett. 10, 808 (1996)].
12. L. Woltjer, Proc. Natl. Acad. Sci. U.S.A. 44, 489 (1958).
13. B.C. Low, Phys. Plasmas 1, 1684 (1994).
14. S. Gibson et al., Astrophys. J. 574, 1021 (2002).
15. E. Parker, Astrophys. J. 122, 293 (1955).
16. M. Steenbeck, F. Krause, and K. Rädler, Z. Naturforsch. A 21a, 369 (1966).
17. E.C. Bullard and H. Gellman, Philos. Trans. R. Soc. London, Ser. A 247, 21 (1954).
18. R. Labbé, J.F. Pinton, and S. Fauve, Phys. Fluids 8, 914 (1996).
19. P. Odier, J-F. Pinton, and S. Fauve, Phys. Rev. E 58, 7397 (1998).
20. U. Frisch, A. Pouquet, J. Léorat, and A. Mazure, J. Fluid Mech. 68, 769 (1975).
21. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. 77, 321 (1976).
22. A. Pouquet and G.S. Patterson, J. Fluid Mech. 85, 305 (1978).
23. M. Meneguzzi, U. Frisch, and A. Pouquet, Phys. Rev. Lett. 47, 1060 (1981).
24. D. Balsara and A. Pouquet, Phys. Plasmas 6, 89 (1999).
25. A. Brandenburg and G. Sarson, Phys. Rev. Lett. 88, 055003 (2002).
26. E. Blackman and A. Brandenburg, Astrophys. J. 584, L99 (2003).
27. Q. Chen, S. Chen, and G. Eyink, Phys. Fluids 15, 361 (2003).
28. S. Galtier, T. Gomez, H. Politano, and A. Pouquet, in Advances in Turbulence VII, edited by U. Frisch (Kluwer, Dordrechts, 1998), p. 453.
29. O. Oughton, K.H. Rädler, and W.H. Matthaeus, Phys. Rev. E 56, 2875 (1997).
30. G. Batchelor, The Theory of Homogeneous Turbulence, (Cambridge University Press, Cambridge, 1953).
31. M.A. Berger and G. Field, J. Fluid Mech. 147, 133 (1984).
32. H.K. Moffatt, J. Fluid Mech. 35, 117 (1969)
33. H.K. Moffatt, Philos. Trans. R. Soc. London, Ser. A 333, 321 (1990).
34. H. Robertson, Proc. Cambridge Philos. Soc. 36, 209 (1940).
35. W.H. Matthaeus and C.W. Smith, Phys. Rev. A 24, 2135 (1981).
36. A. Kolmogorov, Dokl. Akad. Nauk SSSR 32, 16 (1941) [Proc. R. Soc. London, Ser. A 434, 15 (1991)].
37. R.A. Antonia, M. Ould-Rouis, F. Anselmet, Y. Zhu, J. Fluid Mech. 332, 395 (1997).
38. L.F. Burlaga, J. Geophys. Res. 96, 5847 (1991).
39. T. Gomez, H. Politano, and A. Pouquet, Phys. Fluids 11, 2298 (1999).
40. W.C. Müller and D. Biskamp, Phys. Rev. Lett. 84, 475 (2000).
41. S. Kurien, Physica D 175, 167 (2003).
42. S. Chandrasekhart, Philos. Trans. R. Soc. London, Ser. A 242, 557 (1950).
43. B.K. Shivamoggi, Ann. Phys. (N.Y.) 272, 167 (1999).
44. I. Arad, L. Biferale, and I. Procaccia, Phys. Rev. E 61, 2654 (2000).
45. A. Monin and A. Yaglom, Statistical Fluid Mechanics, edited by J. Lumley (MIT, Cambridge, MA, 1975), Vol. 2.