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Kinetic theory of Alfvén waves in plasmas with force-free currents

Published online by Cambridge University Press:  13 March 2009

I. J. Donnelly  and
B. E. Clancy
I. J. Donnelly
Affiliation:
School of Physics, University of Sydney, New South Wales 2006, Australia
B. E. Clancy
Affiliation:
Australian Nuclear Science and Technology Organisation, PMB 1, Menai, New South Wales 2234, Australia
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Abstract

Equations are derived for the kinetic-theory analysis of small-amplitude Alfvén waves in cylindrical plasmas carrying force-free currents. The equations, which include ion Larmor-radius effects to second order, are applicable to reversed-field pinches as well as to tokamaks. Fourier mode amplitudes are derived for model antennas with radial current feeds, and a quantitative analysis is made of the antenna resistance and the wave density fields in a small tokamak during Alfvén-wave heating. The effect of the plasma current on the wave thermal energy flux is discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 2 , April 1991 , pp. 213 - 228
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Amagishi, Y., Ballico, M. J., Cross, R. C. & Donnelly, I. J. 1989 Radio-Frequency Power in Plasmas, 8th Topical Conference, Irvine, California (ed. McWilliams, R.), p. 402. AIP.Google Scholar
Appert, K., Balet, B., Gruber, R., Troyon, F., Tsunematsu, T. & Vaclavik, J. 1980 Proceedings of 2nd Joint Varenna–Grenoble International Symposium on Heating in Toroidal Plasmas, Como, p. 643.Google Scholar
Appert, K., Gruber, R., Teoyon, F. & Vaclavik, J. 1982 Plasma Phys. 24, 1147.Google Scholar
Appert, K., Vaclavik, J. & Villard, L. 1984 Phys. Fluids, 27, 432.Google Scholar
Appert, K., Hellsten, T., Lutjens, H., Sauter, O., Vaclavik, J. & Villard, L. 1987 École Polytechnique Fédérate de Lausanne Report LRP 319/87.Google Scholar
Ballico, M. J. 1990 Ph.D. thesis, University of Sydney.Google Scholar
Ballico, M. J., Bowden, M., Brand, G. F., Brennan, M. H., Cross, R. C., Fekete, P. & James, B. W. 1989 Proceedings of 16th European Conference on Controlled Fusion and Plasma Heating, Venice, 13 B part III, p. 1203.Google Scholar
Ballico, M. J., Brennan, M. H., Cross, R. C, Lehane, J. A. & Sawley, M. L. 1988 Plasma Phys. Contr. Fusion, 30, 1331.Google Scholar
Behn, R., Collins, G. A., Lister, J. & Weisen, H. 1986 Proceedings of 13th European Conference on Controlled Fusion and Plasma Heating, Schliersee, 10 C part II, p. 45.Google Scholar
Besson, G., de Chambrier, A., Collins, G. A., Joye, B., Lietti, A., Lister, J. B., Moret, J. M., Nowak, S., Simm, C. & Weisen, H. 1986 Plasma Phys. Contr. Fusion, 28, 1291.CrossRefGoogle Scholar
Borg, G. G., Howling, A. A., Joye, B., Lister, J. B., Ryter, F. & Weisen, H. 1988 Proceedings of 15th European, Conference on Controlled Fusion and Plasma Heating, Dubrovnik, 12 B part III, p. 936.Google Scholar
Clancy, B. E. & Donnelly, I. J. 1986 Comp. Phys. Commun. 42, 153.CrossRefGoogle Scholar
Collins, G. A., Hofmann, F., Joye, B., Keller, R., Lietti, A., Lister, J. B. & Pochelon, A. 1986 Phys. Fluids, 29, 2260.CrossRefGoogle Scholar
Cramer, N. F. & Donnelly, I. J. 1983 Plasma Phys. Contr. Fusion. 25, 703.Google Scholar
Cramer, N. F. & Donnelly, I. J. 1984 Plasma Phys. Contr. Fusion, 31, 21.Google Scholar
Dmitrieva, M. V., Ivanov, A. A., Sidorova, A. V., Tishkin, V. F., Favorsky, A. P., Elfimov, A. G., Nekrasov, F. M. & Sidorov, V. P. 1988 Proceedings of 15th European Conference on Controlled Fusion and Plasma Heating, Dubrovnik. 12 B part III, p. 944.Google Scholar
Donnelly, I. J., Clancy, B. E. & Brennan, M. H. 1986 a Proceedings of 13th European Conference on Controlled Fusion and Plasma Heating, Schliersee, 10C part I, p. 431.Google Scholar
Donnelly, I. J., Clancy, B. E. & Cramer, N. F. 1985 J. Plasma Phys. 34, 227.CrossRefGoogle Scholar
Donnelly, I. J., Clancy, B. E. & Cramer, N. F. 1986 b J. Plasma Phys. 35, 75.Google Scholar
Donnelly, I. J. & Cramer, N. F. 1984 Plasma, Phys. Contr. Fusion, 26, 769.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function, Academic.Google Scholar
Hasegawa, A. & Chen, L. 1974 Phys. Rev. Lett. 32, 454.Google Scholar
Hasegawa, A. & Chen, L. 1976 Phys. Fluids, 19, 1924.CrossRefGoogle Scholar
Hofmann, F., Appert, K. & Villard, L. 1984 Nucl. Fusion. 24, 1679.Google Scholar
James, B. W., Bowden, M. D., Ballico, M. J., Donnelly, I. J. & Falconer, I. S. 1989 Proceedings of 4th International symposium on Laser-Aided Diagnostics, Fukuoka, p. 351.Google Scholar
Murphy, A. B. 1989 Plasma Phys. Contr. Fusion, 31, 21.Google Scholar
Poedts, S., Kerner, W. & Goossens, M. 1989 J. Plasma Phys. 42, 27.Google Scholar
Ross, D. W., Chen, G. L. & Mahajan, S. M. 1982 Phys. Fluids, 25, 652.CrossRefGoogle Scholar
Ross, D. W., Li, Y.-M., Mahajan, S. W. & Mitchie, R. B. 1986 Nucl. Fusion, 26, 139.Google Scholar
Weisen, H., Borg, G., Joye, B., Knight, A. K. & Lister, J. B. 1989 Phys. Rev. Lett. 62, 434.Google Scholar