Interactions of disparate scales in drift-wave turbulence

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 6 B, 2000, Pages 8508-8539

  Krommes, John A ^a   Kim, Chang Bae ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b Soongsil University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; HEURISTIC METHODS; NAVIER STOKES EQUATIONS;

DRIFT-WAVE TURBULENCE;

TURBULENCE;

EID: 0034511506     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.8508     Document Type: Article

References (51)

1. W. Horton and A. Hasegawa, Chaos 4, 227 (1994).
2. P. H. Diamond, M. N. Rosenbluth, F. L. Hinton, M. Malkov, J. Fleischer, and A. Smolyakov, International Atomic Energy Agency, Vienna, Report No. IAEA-CN-69/TH3/1, 1998 (unpublished).
3. Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, and R. B. White, Science 281, 1835 (1998).
4. K. Hallatschek, Phys. Rev. Lett. 84, 5145 (2000).
5. R. H. Kraichnan, J. Atmos. Sci. 33, 1521 (1976).
6. R. H. Kraichnan, J. Fluid Mech. 47, 513 (1971).
7. A. V. Chechkin, M. I. Kopp, V. V. Yanovsky, and A. V. Tur, Zh. Éksp. Teor. Fiz. 86, 646 (1998) [JETP 86, 357 (1998)].
8. A. V. Chechkin, M. I. Kopp, V. V. Yanovsky, and A. V. Tur, Zh. Éksp. Teor. Fiz. 86, 646 (1998) [JETP 86, 357 (1998)].
9. D. Montgomery and T. Hatori, Plasma Phys. Controlled Fusion 26, 717 (1984).
10. D. H. E. Dubin, J. A. Krommes, C. R. Oberman, and W. W. Lee, Phys. Fluids 26, 3524 (1983).
11. G. Hu, J. A. Krommes, and J. C. Bowman, Phys. Plasmas 4, 2116 (1997).
12. W. D. Dorland, Ph.D. thesis, Princeton University, 1993, available as GAX94-07080 from University Microfilms Inc., 300 N. Zeeb Road, Ann Arbor, MI 48106-1346.
13. G. W. Hammett, M. A. Beer, W. Dorland, S. C. Cowley, and S. A. Smith, Plasma Phys. Controlled Fusion 35, 973 (1993).
14. A. Hasegawa and K. Mima, Phys. Fluids 12, 87 (1978).
15. It was noted in Ref. [18] that Z̃ can be related to wave momentum density. However, the properties of linear wave propagation do not figure into most of the work in this paper.
16. A. I. Smolyakov and P. H. Diamond, Phys. Plasmas 6, 4410 (1999).
17. P. Terry and W. Horton, Phys. Fluids 25, 491 (1982).
18. R. H. Kraichnan, Phys. Rev. Lett. 10, 1417 (1967).
19. W. Horton and Y.-H. Ichikawa, Chaos and Structures in Nonlinear Plasmas (World Scientific, Singapore, 1996).
20. J. A. Krommes, in Handbook of Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1984), Vol. 2, Chap. 5.5, p. 183.
21. J. Bowman, J. A. Krommes, and M. Ottaviani, Phys. Fluids B 5, 3558 (1993).
22. J. A. Krommes, Phys. Rep. 283, 5 (1997).
23. C. E. Leith, J. Atmos. Sci. 28, 145 (1971).
24. R. H. Kraichnan, J. Fluid Mech. 41, 189 (1970).
25. J. A. Krommes, Phys. Plasmas 7, 1148 (2000).
26. S. A. Orszag, in Fluid Dynamics, edited by R. Balian and J.-L. Peube (Gordon and Breach, New York, 1977), p. 235.
27. R. H. Kraichnan, Phys. Rev. 113, 1181 (1959).
28. J. A. Krommes, Phys. Fluids B 5, 650 (1993).
29. R. H. Kraichnan, J. Fluid Mech. 5, 497 (1959).
30. R. H. Kraichnan, Phys. Fluids 7, 1723 (1964).
31. J. C. Bowman and J. A. Krommes, Phys. Plasmas 4, 3895 (1997).
32. P. H. Diamond et al., Phys. Rev. Lett. 84, 4842 (2000).
33. A. I. Smolyakov, P. H. Diamond, and M. Malkov, Phys. Rev. Lett. 84, 491 (2000).
34. R. H. Kraichnan, J. Fluid Mech. 83, 349 (1977).
35. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973).
36. C. de Dominicis and P. C. Martin, J. Math. Phys. 5, 14 (1964).
37. J. A. Krommes, Theoretical and Computational Plasma Physics (International Atomic Energy Agency, Vienna, 1978), p. 405.
38. G. F. Carnevale and P. C. Martin, Geophys. Astrophys. Fluid Dyn. 20, 131 (1982).
39. U. Frisch, Turbulence (Cambridge University Press, Cambridge, U.K., 1995).
40. R. V. Jensen, J. Stat. Phys. 25, 183 (1981).
41. <.
42. T. H. Dupree and D. J. Tetreault, Phys. Fluids 21, 425 (1978).
43. P. Similon, Ph.D. thesis, Princeton University, 1981.
44. TC). The first term vanishes because we assume that Ω is ω independent; the second term does not contribute after integration over ω.
45. J. A. Krommes and M. T. Kotschenreuther, J. Plasma Phys. 27, 83 (1982).
46. P. H. Diamond and Y.-B. Kim, Phys. Fluids B 3, 1626 (1991).
47. T. S. Hahm, W. W. Lee, and A. Brizard, Phys. Fluids 31, 1940 (1988).
48. J. A. Krommes and C.-B. Kim, Phys. Fluids 31, 869 (1988).
49. A. I. Smolyakov, P. H. Diamond, and V. I. Shevchenko, Phys. Plasmas 7, 1349 (2000).
50. L. Chen, Z. Lin, and R. White, Phys. Plasmas 7, 3129 (2000).
51. k.