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Alfven continuum in stellarators: general analysis and specific examples
Ya. I. Kolesnichenko1, H. Wobig2, Yu. V. Yakovenko1, J. Kisslinger2
1Institute for Nuclear Research of the National Academy of Sciences of Ukraine
2Max-Planck Institut für Plasmaphysik, IPP-EURATOM Association, Garching bei München, Germany
Abstract: The Alfvén continuous spectrum in three-dimensional toroidal magnetic configurations is analyzed. Alfvén continua in Wendelstein-line stellarators (Wendelstein 7-AS and the designed Helias reactor HSR4/18) are calculated with the code COBRA, and the principal gaps in the Alfvén continua in these devices are found. It is shown that the shape of the plasma cross section strongly affects the Alfvén spectrum. Peculiarities of the Alfvén continuum of low-shear configurations are discussed. The frequencies of the calculated gaps in the Alfvén continuum in W7-AS are compared with the frequencies of the experimentally observed plasma oscillations.
References:1. C. Z. Cheng and M. S. Chance. Phys. Fluids 29 (1986) 3695. https://doi.org/10.1063/1.865801
2. S. M. Mahajan, D. W. Ross, and G.-L. Chen. Phys. Fluids 26 (1983) 2195. https://doi.org/10.1063/1.864404
3. Y. M. Li, S. M. Mahajan, and D. W. Ross. Phys. Fluids 16 (1987) 1466. https://doi.org/10.1063/1.866260
4. J. Weiland, M. Lisak, and H. Wilhelmsson. Phys. Scr. T 16 (1987) 53. https://doi.org/10.1088/0031-8949/1987/T16/006
5. G. Y. Fu and J. W. Van Dam. Phys. Fluids B 1 (1989) 1949. https://doi.org/10.1063/1.859057
6. N. Nakajima, C. Z. Cheng, and M. Okamoto. Phys. Fluids B 4 (1992) 1115. https://doi.org/10.1063/1.860119
7. A. Salat, Plasma Phys. Control. Fusion 34 (1992) 1339. https://doi.org/10.1088/0741-3335/34/7/010
8. A. Salat and J. A. Tataronis. "Shear Alfvén mode resonances in nonaxisymmetric toroidal low-pressure plasmas", Rep. IPP III/263, IPP III/264 (2000).
9. C. Nührenberg. Phys. Plasmas 6 (1999) 137. https://doi.org/10.1063/1.873268
10. C. Nührenberg. In ISSP-19 "Piero Caldirola", Theory of Fusion Plasmas, J. W. Connor, O. Sauter, and E. Sindoni (Eds.) (SIF, Bologna, 2000), p. 313.
11. Ya. I. Kolesnichenko, V. V. Lutsenko, H. Wobig, Yu. V. Yakovenko, and O. P. Fesenyuk. Phys. Plasmas 8 (2001) 491. https://doi.org/10.1063/1.1339228
12. J. P. Goedbloed. Phys. Fluids 18 (1975) 1258. https://doi.org/10.1063/1.861012
13. Y. Pao. Nucl. Fusion 15 (1975) 631. https://doi.org/10.1088/0029-5515/15/4/008
14. E. Hameiri. Phys. Fluids 24 (1981) 562. https://doi.org/10.1063/1.863410
15. C. E. Kieras and J. A. Tataronis. J. Plasma Phys. 28 (1982) 395. https://doi.org/10.1017/S0022377800000386
16. E. Hameiri. Comm. Pure Appl. Math. XXXVIII (1985) 43. https://doi.org/10.1002/cpa.3160380104
17. A. Salat and J. A. Tataronis. Phys. Plasmas 6 (1999) 395. https://doi.org/10.1063/1.873560
18. M. S. Chu, J. M. Greene, L. L. Lao, A. D. Turnbull, and M. S. Chance. Phys. Fluids B 4 (1992) 3713. https://doi.org/10.1063/1.860327
19. E. I. Dinaburg and Ya. G. Sinai. Funct. Anal. Appl. 9 (1975) 279. https://doi.org/10.1007/BF01075873
20. B. Simon. Adv. Appl. Math. 3 (1982) 463. https://doi.org/10.1016/S0196-8858(82)80018-3
21. A. Salat. Phys. Rev. A 45 (1992) 1116. https://doi.org/10.1103/PhysRevA.45.1116
22. A. H. Boozer. Phys. Fluids 24 (1981) 1999. https://doi.org/10.1063/1.863297
23. O. P. Fesenyuk, Ya. I. Kolesnichenko, H. Wobig, Yu. V. Yakovenko. "Reduced MHD equations for Alfvén eigenmodes in stellarators", this workshop.
24. H. Wobig, C. D. Beidler, J. Kisslinger, E. Harmeyer, and F. Herrnegger. In Fusion Energy 1998, 17th International Atomic Energy Agency Conference Proceedings, Yokohama, 1998, Vol. 4 (International Atomic Energy Agency, Vienna, 1999) p. 1235.
25. C. D. Beidler et al. The Helias reactor", in Fusion Energy 2000, 18th International Atomic Energy Agency Conference Proceedings, Sorrento, 2000, Report IAEA-CN- 77/FT/4 (to be published).
26. A. Weller et al. in Fusion Energy 1998, 17th International Atomic Energy Agency Conference Proceedings, Yokohama, 1998 (International Atomic Energy Agency, Vi- enna, 1999), Vol. 1, p. 295.