A nonlinear two-fluid model for toroidal plasmas

Physics of Plasmas

Volumn 7, Issue 11, 2000, Pages 4644-4658

  Sugiyama, L E ^a   Park, W ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b PRINCETON PLASMA PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001536891     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1308083     Document Type: Article

References (62)

1. R. D. Hazeltine and J. D. Meiss, Phys. Rep. 121, 1 (1985): R. D. Hazeltine and J. D. Meiss, Plasma Confinement (Addison-Wesley, The Advanced Book Program, Redwood City, CA, 1992).
2. R. D. Hazeltine and J. D. Meiss, Phys. Rep. 121, 1 (1985): R. D. Hazeltine and J. D. Meiss, Plasma Confinement (Addison-Wesley, The Advanced Book Program, Redwood City, CA, 1992).
3. For example, D. Biskamp, Nonlinear Magnetohydrodynamics (Cambridge University Press, Cambridge, 1993).
4. R. D. Hazeltine, C. T. Hsu, and P. J. Morrison, Phys. Fluids 30, 3204 (1987).
5. S. I. Braginskii, "Transport processes in a plasma," in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
6. L. C. Steinhauer and A. Ishida, Phys. Plasmas 5, 2609 (1998); L. C. Steinhauer and A. Ishida, Phys. Rev. Lett. 79, 3423 (1997).
7. L. C. Steinhauer and A. Ishida, Phys. Plasmas 5, 2609 (1998); L. C. Steinhauer and A. Ishida, Phys. Rev. Lett. 79, 3423 (1997).
8. C. T. Hsu, R. D. Hazeltine, and P. J. Morrison, Phys. Fluids 29, 1480 (1986).
9. J. F. Drake and T. M. Antonsen, Jr., Phys. Fluids 27, 898 (1984).
10. S. E. Kruger, C. C. Hegna, and J. D. Callen, Phys. Plasmas 5, 4169 (1998).
11. E. Bowers and N. K. Winsor, Phys. Fluids 14, 2203 (1971).
12. D. A. Monticello and R. B. White, Phys. Fluids 23, 366 (1980).
13. D. Biskamp, Phys. Rev. Lett. 46, 1522 (1981).
14. F. L. Hinton and R. D. Hazeltine, Rev. Mod. Phys. 48, 239 (1976).
15. S. P. Hirshman and D. Sigmar, Nucl. Fusion 21, 1079 (1981).
16. J. D. Callen, W. X. Qu, K. D. Siebert, B. A. Carreras, K. C. Shaing, and D. A. Spong, Plasma Physics and Controlled Nuclear Fusion Research 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 2, p. 157; J. D. Callen and K. C. Shaing, Phys. Fluids 28, 1845 (1985).
17. J. D. Callen, W. X. Qu, K. D. Siebert, B. A. Carreras, K. C. Shaing, and D. A. Spong, Plasma Physics and Controlled Nuclear Fusion Research 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 2, p. 157; J. D. Callen and K. C. Shaing, Phys. Fluids 28, 1845 (1985).
18. T. A. Gianakon, Ph.D. thesis, Department of Nuclear Engineering and Engineering Physics, University of Wisconsin-Madison, Madison, WI, 1996.
19. G. W. Hammett and F. W. Perkins, Phys. Rev. Lett. 64, 3019 (1990).
20. J. P. Wang and J. D. Callen, Phys. Fluids B 4, 1139 (1992).
21. Z. Chang and J. D. Callen, Phys. Fluids B 4, 1167 (1992); 4, 1182 (1992).
22. Z. Chang and J. D. Callen, Phys. Fluids B 4, 1167 (1992); 4, 1182 (1992).
23. L. E. Sugiyama, Bull. Am. Phys. Soc. 41, 1584 (1996).
24. E. Belova and W. Park, Bull. Am. Phys. Soc. 43, 1750 (1998).
25. W. Park and D. A. Monticello, Nucl. Fusion 30, 2413 (1990).
26. W. Park, S. Parker, H. Bigliari, M. Chance, L. Chen, C. Z. Cheng, T. S. Hahm, W. W. Lee, R. Kulsrud, D. Monticello, L. Sugiyama, and R. White, Phys. Fluids B 4, 2033 (1992).
27. W. Park, E. V. Belova, G. Y. Fu, X. Tang, H. R. Strauss, and L. E. Sugiyama, Phys. Plasmas 6, 1796 (1999).
28. H. R. Strauss and W. Park, Phys. Plasmas 5, 2676 (1998).
29. R. Izzo, D. A. Monticello, W. Park, J. Manickam, H. R. Strauss, R. Grimm, and K. McGuire, Phys. Fluids 26, 2240 (1983).
30. R. Izzo, D. A. Monticello, J. DeLucia, W. Park, and C. M. Ryu, Phys. Fluids 28, 903 (1985).
31. D. Biskamp, Nucl. Fusion 18, 1059 (1978).
32. D. Biskamp, Nucl. Fusion 19, 777 (1979).
33. H. R. Hicks, B. A. Carreras, and J. A. Holmes, Phys. Fluids 27, 909 (1984).
34. B. D. Scott, A. B. Hassam, and J. F. Drake, Phys. Fluids 28, 275 (1985).
35. Z. Chang and J. D. Callen, Phys. Fluids B 4, 1766 (1992).
36. A. Brizzard, Phys. Fluids B 4, 1213 (1992).
37. A. I. Smolyakov, Can. J. Phys. 76, 321 (1998).
38. G. Laval, R. Pellat, and M. Vuillemin, in Plasma Physics and Controlled Nuclear Fusion Research 1964 (International Atomic Energy Agency, Vienna, 1965), Vol. II, p. 259.
39. J. F. Drake and Y. C. Lee, Phys. Fluids 20, 1341 (1977).
40. J. F. Drake, Phys. Fluids 21, 1777 (1978).
41. J. D. Callen and C. C. Hegna, Bull. Am. Phys. Soc. 41, 1373 (1996).
42. L. E. Zakharov and B. N. Rogers, Phys. Fluids B 4, 3285 (1992).
43. Numerical solution by S. Migliuolo.
44. G. Ara, B. Basu, B. Coppi, G. Laval, M. N. Rosenbluth, and B. V. Waddell, Ann. Phys. (San Diego) 112, 433 (1978).
45. B. Coppi, S. Migliuolo, L. E. Sugiyama, F. Bombarda, and P. Detragiache, in Proceedings of the 16th IAEA Conference on Fusion Energy, Montreal, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 2, p. 397.
46. L. E. Sugiyama, Phys. Plasmas 6, 3276 (1999).
47. C. Z. Cheng, L. Chen, and M. S. Chance, Ann. Phys. (N.Y.) 161, 21 (1984); C. Z. Cheng and M. S. Chance, Phys. Fluids 29, 3695 (1986).
48. C. Z. Cheng, L. Chen, and M. S. Chance, Ann. Phys. (N.Y.) 161, 21 (1984); C. Z. Cheng and M. S. Chance, Phys. Fluids 29, 3695 (1986).
49. Done by G. Y. Fu using MH3D-T.
50. M. Saigusa, H. Kimura, Y. Kusama et al., Plasma Phys. Controlled Fusion 40, 1647 (1998).
51. S. Ali-Arshad and D. J. Campbell, Plasma Phys. Controlled Fusion 37, 715 (1995).
52. H. R. Hicks, B. A. Carreras, J. A. Holmes, and V. E. Lynch, Nucl. Fusion 22, 222 (1982).
53. H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
54. B. Coppi, J. M. Greene, and J. L. Johnson, Nucl. Fusion 6, 101 (1966).
55. H. P. Furth, P. H. Rutherford, and H. Selberg, Phys. Fluids 16, 1054 (1973).
56. R. D. Hazeltine and H. R. Strauss, Phys. Fluids 37, 102 (1976).
57. R. Fitzpatrick, Phys. Plasmas 2, 825 (1995).
58. Z. Chang, E. D. Fredrickson, J. D. Callen et al., Nucl. Fusion 34, 1309 (1994).
59. H. Grad and H. Rubin, in Proceedings of the 2nd International Conference on the Peaceful Uses of Atomic Energy (United Nations, Geneva, 1958), Vol. 31, p. 190; H. Grad, P. N. Hu, and D. C. Stevens, Proc. Natl. Acad. Sci. USA 72, 3789 (1975); V. D. Shafranov, Reviews of Plasma Physics (Consultants Bureau, New York, 1966), Vol. 2, p. 103.
60. H. Grad and H. Rubin, in Proceedings of the 2nd International Conference on the Peaceful Uses of Atomic Energy (United Nations, Geneva, 1958), Vol. 31, p. 190; H. Grad, P. N. Hu, and D. C. Stevens, Proc. Natl. Acad. Sci. USA 72, 3789 (1975); V. D. Shafranov, Reviews of Plasma Physics (Consultants Bureau, New York, 1966), Vol. 2, p. 103.
61. H. Grad and H. Rubin, in Proceedings of the 2nd International Conference on the Peaceful Uses of Atomic Energy (United Nations, Geneva, 1958), Vol. 31, p. 190; H. Grad, P. N. Hu, and D. C. Stevens, Proc. Natl. Acad. Sci. USA 72, 3789 (1975); V. D. Shafranov, Reviews of Plasma Physics (Consultants Bureau, New York, 1966), Vol. 2, p. 103.
62. H. R. Strauss, Phys. Plasmas 2, 1229 (1995).