A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields

Physics of Plasmas

Volumn 11, Issue 9, 2004, Pages 4429-4438

  Brizard, Alain J ^a  

^a SAINT MICHAEL'S COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER-PLANCK (FP) COLLISION OPERATOR; ISOTROPIC-FIELD-PARTICLE MODEL; LIE-TRANSFORM METHOD; MAGNETIC NONUNIFORM PLASMA;

ALGEBRA; CHARGED PARTICLES; HAMILTONIANS; KINETIC THEORY; MAGNETIC FIELD EFFECTS; MAGNETIZATION; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; PLASMA DEVICES;

COLLISION AVOIDANCE;

EID: 5444227010     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1780532     Document Type: Article

References (30)

1. R. G. Littlejohn, J. Math. Phys. 23, 742 (1982).
2. A. J. Brizard, Phys. Lett. A 291, 146 (2001).
3. A. J. Brizard, J. Plasma Phys. 41, 541 (1989).
4. A. J. Brizard, Phys. Plasmas 7, 4816 (2000).
5. R. Balescu, Transport Processes in Plasmas 2: Neoclassical Transport Theory (North-Holland, Amsterdam, 1988).
6. P. J. Catto and K. T. Tsang, Phys. Fluids 20, 396 (1977).
7. S. P. Auerbach, Phys. Fluids 28, 1688 (1985).
8. J. W. Edenstrasser, Phys. Plasmas 2, 1192 (1995).
9. R. J. Hastie, J. B. Taylor, and F. A. Haas, Ann. Phys. (N.Y.) 41, 302 (1967).
10. P. H. Rutherford, Phys. Fluids 13, 482 (1970).
11. X. Q. Xu and M. N. Rosenbluth, Phys. Fluids B 3, 627 (1991).
12. A. M. Dimits and B. I. Cohen, Phys. Rev. E 49, 709 (1994).
13. S. I. Braginskii, Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
14. F. L. Hinton and R. D. Hazeltine, Rev. Mod. Phys. 48, 239 (1976).
15. F. L. Hinton, Handbook of Plasma Physics (North-Holland, Amsterdam, 1983) Vol. 1, Chap. 1.5.
16. S. Ichimaru, Basic Principles of Plasma Physics: A Statistical Approach (Benjamin/Cummiags, Reading, MA, 1973).
17. I. B. Bernstein and K. Molvig, Pays. Fluids 26, 1488 (1983).
18. M. D. Kruskal J. Math. Phys. 3, 806 (1962).
19. R. G. Littlejohn, I. Math. Phys. 20, 2445 (1979).
20. R. G. Littlejohn, J. Plasma Phys. 29, 111 (1983).
21. A. J. Brizard, Phys. Plasmas 2, 459 (1995).
22. M. N. Rosenbluth, W. M. MacDonald, and D. L. Judd, Phys. Rev. 107, l (1957).
23. N. Rostoker, Phys. Fluids 3, 922 (1960).
24. D. E. Baldwin and C. J. H. Watson, Plasma Phys. 19, 517 (1977): M. H. A. Hassan and C. J. H. Watson, ibid. 19, 627 (1977).
25. D. E. Baldwin and C. J. H. Watson, Plasma Phys. 19, 517 (1977): M. H. A. Hassan and C. J. H. Watson, ibid. 19, 627 (1977).
26. A. J. Brizard, Phys. Plasmas 7, 3238 (2000).
27. R. D. Hazeltine and P. J. Catto, Phys. Plasmas 3, 2365 (1996).
28. K. C. Shaing, A. Y. Aydemir, and R. D. Hazeltine, Phys. Plasmas 5, 3680 (1998).
29. K. C. Shaing and M. C. Zarnstorff, Phys. Plasmas 4, 3928 (1997).
30. X. Q. Xu (private communication).