The geometry and symmetries of magnetohydrodynamic turbulence: Anomalies of spatial periodicity

Physics of Plasmas

Volumn 6, Issue 7, 1999, Pages 2727-2733

  Montgomery, David C ^a   Bates, Jason W ^a,b  

^a DARTMOUTH COLLEGE   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038098132     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.873229     Document Type: Article

References (41)

1. A. N. Kolmogorov, C. R. Acad. Sci. URSS 30, 301 (1941).
2. A. N. Kolmogorov, C. R. Acad. Sci. URSS 32, 16 (1941).
3. A. N. Kolmogorov, J. Fluid Mech. 13, 82 (1962).
4. G. K. Batchelor, Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
5. S. A. Orszag, "Statistical theory of turbulence," in Fluid Dynamics: Les Mouches 1973, edited by R. Balian and J.-L. Peube (Gordon and Breach, New York, 1977), pp. 237-374.
6. U. Frisch, Turbulence, The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
7. U. Frisch, A. Pouquet, J. Léorat, and A. Mazure, J. Fluid Mech. 68, 769 (1975).
8. A. Pouquet, U. Frisch, and J. Léorat, J. Fluid Mech. 77, 321 (1976).
9. A. Pouquet and G. S. Patterson, J. Fluid Mech. 85, 305 (1978).
10. A. Pouquet, "Magnetohydrodynamic turbulence," in Proceedings Les Hauches Summer School on Astrophysical Fluid Dynamics, July, 1987, edited by J. P. Zahn and J. Zinn-Justin (Elsevier, Amsterdam, 1993), pp. 139-227.
11. T. Stribling and W. H. Matthaeus, Phys. Fluids B 2, 1979 (1990).
12. T. Stribling and W. H. Matthaeus, Phys. Fluids B 3, 1848 (1991).
13. S. Oughton, K.-H. Räder, and W. H. Matthaeus, Phys. Rev. E 56, 2875 (1997).
14. P. M. Gresho, Annu. Rev. Fluid Mech. 23, 413 (1991).
15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).
16. D. Fyfe and D. Montgomery, J. Plasma Phys. 16, 181 (1976).
17. D. Fyfe, G. R. Joyce, and D. Montgomery, J. Plasma Phys. 17, 317 (1977).
18. D. Fyfe, D. Montgomery, and G. R. Joyce, J. Plasma Phys. 17, 369 (1977).
19. A. Pouquet, J. Fluid Mech. 88, 1 (1978).
20. W. H. Matthaeus and D. Montgomery, Ann. (N.Y.) Acad. Sci. 357, 203 (1980).
21. R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 43, 547 (1980).
22. R. Kinney, J. C. McWilliams, and T. Tajima, Phys. Plasmas 2, 3623 (1995).
23. T. Stribling, W. H. Matthaeus, and S. Ghosh, J. Geophys. Res. 99, 2567 (1994).
24. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978).
25. F. Krause and K.-H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon, Oxford, 1980).
26. H. Alfvén, Cosmical Electrodynamics (Oxford University Press, Oxford, 1950).
27. M. A. Berger, J. Geophys. Res. 102, 2637 (1997).
28. H. Chen, X. Shan, and D. Montgomery, Phys. Rev. A 42, 6158 (1990).
29. X. Shan, D. Montgomery, and H. Chen, Phys. Rev. A 44, 6800 (1991).
30. X. Shan and D. Montgomery, Plasma Phys. Controlled Fusion 35, 619 (1993).
31. X. Shan and D. Montgomery, Plasma Phys. Controlled Fusion 35, 1019 (1993).
32. X. Shan and D. Montgomery, Phys. Rev. Lett. 73, 1624 (1994).
33. X. Shan and D. Montgomery, J. Plasma Phys. 52, 113 (1994).
34. D. Montgomery and X. Shan, J. Plasma Phys. 54, 1 (1995).
35. D. Montgomery and X. Shan, "Magnetohydrodynamic turbulence with net currents," in Small Scale Structure in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence, edited by M. Meneguzzi, A. Pouquet, and P.-L. Sulem (Springer, Berlin, 1995), pp. 241-254.
36. D. Montgomery, L. Turner, and G. Vahala, Phys. Fluids 21, 757 (1978).
37. Z. Yoshida, J. Math. Phys. 33, 1252 (1992).
38. M. Meneguzzi, U. Frisch, and A. Pouquet, Phys. Rev. Lett. 47, 1060 (1981).
39. B. Galanti, P. L. Sulem, and A. D. Gilbert, Physica D 47, 416 (1991).
40. D. Montgomery and G. Vahala, J. Plasma Phys. 21, 71 (1979).
41. D. Montgomery and J. W. Bates, "Helicity and its role in the varieties of magnetohydrodynamic turbulence," in Proceedings of the American Geophysical Union Chapman Conference on Magnetic Helicity, edited by A. Pevtsov (American Geophysical Union, Washington, D.C., in press).