Energy-conserving finite- Β electromagnetic drift-fluid equations

Physics of Plasmas

Volumn 12, Issue 9, 2005, Pages 1-11

  Brizard, A J ^a  

^a SAINT MICHAEL'S COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRIFT-FLUID EQUATIONS; GYROFLUID; ION POLARIZATION DENSITY; NOETHER METHOD;

ANISOTROPY; ENERGY CONSERVATION; HAMILTONIANS; KINETIC THEORY; MAGNETIZATION; PLASMAS; POISSON EQUATION; POLARIZATION;

ELECTROMAGNETIC FIELDS;

EID: 27344451828     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2032739     Document Type: Article

References (40)

1. J. F. Drake and T. M. Antonsen, Jr., Phys. Fluids 27, 898 (1984).
2. C. T. Hsu, R. D. Hazeltine, and P. J. Morrison, Phys. Fluids 29, 1480 (1986).
3. A. J. Brizard, Phys. Fluids B 4, 1213 (1992).
4. M. Yagi and W. Horton, Phys. Plasmas 1, 2135 (1994).
5. A. Zeiler, J. F. Drake, and B. Rogers, Phys. Plasmas 4, 2134 (1997).
6. P. B. Snyder, G. W. Hammett, and W. Dorland, Phys. Plasmas 4, 3974 (1997).
7. L. Chen, Z. Lin, R. B. White, and F. Zonca, Nucl. Fusion 41, 747 (2001).
8. X. Garbet, Plasma Phys. Controlled Fusion 43, A251 (2001).
9. P. W. Terry, E. Fernandez, and A. S. Ware, Astrophys. J. 504, 821 (1998).
10. J. Y. Lu, R. Rankin, R. Marchand, and V. T. Tikhonchuk, Geophys. Res. Lett. 30, 1540 (2003).
11. B. N. Kuvshinov and T. J. Schep, Phys. Plasmas 4, 537 (1997).
12. D. Correa-Restrepo and D. Pfirsch, J. Plasma Phys. 70, 199 (2004).
13. A. J. Brizard, J. Plasma Phys. 71, 225 (2005).
14. D. Pfirsch and D. Correa-Restrepo, Plasma Phys. Controlled Fusion 38, 71 (1996).
15. D. Pfirsch and D. Correa-Restrepo, Plasma Phys. Controlled Fusion 39, 555 (1997).
16. D. Strintzi and B. D. Scott, Phys. Plasmas 11, 5452 (2004).
17. D. Strintzi, B. D. Scott, and A. J. Brizard, Phys. Plasmas 12, 052517 (2005).
18. K. T. Tsang, J. C. Whitson, J. D. Callen, P. Catto, and J. Smith, Phys. Rev. Lett. 41, 557 (1978).
19. A. Hasegawa, H. Okuda, and M. Wakatani, Phys. Rev. Lett. 44, 248 (1980).
20. P. K. Shukla and J. Weiland, Phys. Rev. A 40, 341 (1989).
21. T. S. Hahm, W. W. Lee, and A. J. Brizard, Phys. Fluids 31, 1940 (1988).
22. A. J. Brizard, J. Plasma Phys. 41, 541 (1989).
23. A. J. Brizard, Phys. Fluids B 4, 1213 (1992).
24. G. F. Chew, M. L. Goldberger, and F. E. Low, Proc. R. Soc. London, Ser. A 236, 112 (1956).
25. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Chap..
26. B. M. Boghosian, Ph.D. thesis, University of California, Davis, 1987; see also arXiv:physics/0307148.
27. B. M. Boghosian, Ph.D. thesis, University of California, Davis, 1987; see also arXiv:physics/0307148.
28. See, for example, S. Sieniutycz and R. S. Berry, Phys. Rev. A 1050-2947 10.1103/PhysRevA.40.348 40, 348 (1989); M. Ichiyanagi, Phys. Rep. 243, 125 (1994).
29. See, for example, S. Sieniutycz and R. S. Berry, Phys. Rev. A 1050-2947 10.1103/PhysRevA.40.348 40, 348 (1989); M. Ichiyanagi, Phys. Rep. 243, 125 (1994).
30. W. A. Newcomb, Nucl. Fusion Suppl. 2, 451 (1962).
31. D. D. Holm, J. E. Marsden, and T. S. Ratiu, Adv. Math. 137, 1 (1998).
32. B. Scott, Phys. Plasmas 10, 963 (2003).
33. D. D. Holm, J. Phys. A 35, 679 (2002).
34. Y.-K. M. Peng, Ph.D. thesis, Stanford University, 1974.
35. Y.-K. M. Peng and F. W. Crawford, Radio Sci. 18, 1355 (1983).
36. S. I. Braginskii, in Reviews of Plasma Physics, edited by, M. A. Leontovich, (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
37. R. D. Hazeltine and J. D. Meiss, Phys. Rep. 121, 1 (1985).
38. Z. Chang and J. D. Callen, Phys. Fluids B 4, 1766 (1992).
39. J. P. Mondt and J. Weiland, Phys. Fluids B 3, 3248 (1991);
40. J. P. Mondt and J. Weiland, Phys. Plasmas 1, 1096 (1994).