Collisionless particle orbits in a torsatron with the complicated magnetic-field harmonic spectrum. II. Adiabatic invariants of particle motion

Physics of Plasmas

Volumn 3, Issue 8, 1996, Pages 2971-2978

  Smirnova, M S ^a  

^a INSTITUTE OF PLASMA PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; FOURIER TRANSFORMS; HARMONIC GENERATION; INTEGRAL EQUATIONS; INVARIANCE; MAGNETIC FIELDS; PLASMA DEVICES;

ADIABATIC INVARIANTS; CHARGED PARTICLE ORBITS; MAGNETIC FIELD HARMONIC SPECTRUM; PARTICLE MOTION; TORSATRON;

CHARGED PARTICLES;

EID: 0030213453     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.871632     Document Type: Article

References (19)

1. M. S. Smirnova, Phys. Plasmas 3, 2961 (1996).
2. M. S. Smirnova, "Effect of the high-order magnetic-field harmonics on the trapped particle confinement in torsatrons and heliotrons," to appear in Nucl. Fusion.
3. J. Todoroki, J. Phys. Soc. Jpn. 59, 2758 (1990).
4. M. Wakatani, S. Kodama, M. Nakasuga, and F. Hanatani, Nucl. Fusion 21, 175 (1981).
5. K. Itoh, A. Fukuyama, and K. Hanatani, Nucl Fusion 29, 1851 (1989).
6. H. Sanuki, J. Todoroki, and T. Kamimura, Phys. Fluids B 2, 2155 (1990).
7. S. V. Bulanov and S. G. Shasharina, Nucl. Fusion 32, 1531 (1992).
8. J. R. Gary and S. G. Shasharina, Phys. Fluids B 5, 2098 (1993).
9. J. R. Gary, C. L. Hedrick, and J. S. Tolliver, Phys. Fluids 31, 1586 (1988).
10. J. A. Rome, Nucl. Fusion 35, 195 (1995).
11. C. D. Beidler and W. D. D. D'haeseleer, Plasma Phys. Controlled Fusion 37, 463 (1995).
12. A. Iiyoshi, M. Fujiwara, O. Motojima, N. Onyabu, and K. Yamazaki, Fusion Technol. 17, 169 (1990).
13. K. Nishimura, K. Matsuoka, M. Fujiwara, K. Yamazaki, J. Todoroki, T. Kamimura, T. Amano, H. Sanuki, S. Okamura, M. Hosokawa, H. Yamada, S. Tanahashi, S. Kubo, Y. Takuta, T. Shoji, O. Kaneko, H. Iguchi, and C. Takahashi, Fusion Technol. 17, 86 (1990).
14. J. F. Lyon, B. A. Carreras, K. K. Chipley, M. J. Cole, J. H. Harris, T. C. Jernigan, R. L. Johnson, V. E. Lynch, B. E. Nelson, J. A. Rome, J. Sheffield, and P. B. Thompson, Fusion Technol. 10, 179 (1986).
15. O. Motojima, K. Y. Watanabe, A. Sagara, K. Yamazaki, A. A. Shishkin, A. V. Zolotukhin, M. S. Smirnova, and I. N. Sidorenko, Trans. Fusion Technol. 27, 264 (1995).
16. A. Hurwitz and R. Courant, Allgemeine Funktionentheorie und Elliptische Funktionen (Springer-Verlag, Berlin, 1964).
17. E. T. Whittaker G. N. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1927).
18. L. M. Milne-Thomson, Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1964).
19. A. P. Prudnikov, Yu. A. Brichkov, and O. I. Marichev, Integrals and Series (Nauka, Moscow, 1981) (in Russian).