Abstract
Numerical aspects of the method for diagnosing a tokamak plasma with the help of the discrete Alfvén wave spectrum are considered. It is shown that this diagnostics should be supported with highly accurate computational tools. A code suitable for implementing the relevant calculation scheme is developed, which makes it possible to identify the eigenmodes numerically with the desired accuracy. The code can also provide recommendations for performing tokamak experiments and can be used to study the possibility of auxiliary plasma heating by Alfvén waves. The discrete Alfvén wave spectrum, radial profiles of the energy deposited in the plasma, and the dependence of the Alfvén mode frequencies on the damping rate and on the class of the current-density profiles chosen are calculated for the first time for the T-10 tokamak. It is also shown that the diagnostic method proposed makes it possible to obtain reliable information about the plasma parameters.
Similar content being viewed by others
References
K. McCormick, R. Bartiromo, H. S. Bosch, et al., in Proceedings of 12th European Conference on Controlled Fusion and Plasma Physics, Budapest, Hungary, 1985 [ECA 9F, 199 (1985)].
F. M. Levinton, Rev. Sci. Instrum. 63, 5157 (1992).
F. M. Levinton, R. J. Fonck, G. M. Gammel, et al., Phys. Rev. Lett. 63, 2060 (1989).
H. Soltwisch, W. Stodieck, J. Manickam, et al., in Proceedings of 11th IAEA Conference on Plasma Physics and Controlled Nuclear Fusion Research, Kyoto, Japan, 1986 [Nucl. Fusion Suppl. 1, 263 (1987)].
K. Appert and J. Vaclavik, Plasma Phys. 25, 551 (1983).
D. W. Ross, G. L. Chen, and S. M. Mahajan, Phys. Fluids 25, 652 (1982).
P. Descamps, G. V. Wassenhove, R. Koch, et al., Phys. Lett. A 143, 311 (1990).
S. M. Mahajan, D. W. Ross, and G. L. Chen, Phys. Fluids 26, 2195 (1983).
K. Appert, G. A. Collins, F. Hofmann, et al., Phys. Rev. Lett. 54, 1671 (1985).
G. A. Collins, F. Hofmann, B. Joye, et al., Phys. Fluids 29, 2260 (1986).
B. Joye, A. Lietti, J. B. Lister, et al., Preprint No. LRP 196/81 (Centre de Recherches en Physique des Plasmas, Lausanne, 1981).
A. Yu. Novikov, Preprint No. 5740/7, IAE (Kurchatov Institute of Atomic Energy, Moscow, 1994).
D. A. Frank-Kamenetskii, Course of Plasma Physics (Atomizdat, Moscow, 1964).
T. Stiks, The Theory of Plasma Waves (McGraw-Hill, New York, 1962; Atomizdat, Moscow, 1965).
R. R. Weynants, A. M. Messiaen, C. Leblud, et al., in Proceedings of 2nd Joint Grenoble-Varenna International Symposium on Heating in Toroidal Plasmas, Grenoble, 1980 (Centre D'Etudes Nucleaires, Grenoble, 1980), Vol. 1, p. 487.
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Plazmy, Vol. 26, No. 2, 2000, pp. 99–121.
Original Russian Text Copyright © 2000 by Novikov, Dobryakov.
Rights and permissions
About this article
Cite this article
Novikov, A.Y., Dobryakov, A.V. Numerical analysis of the safety factor and effective ion mass in a tokamak plasma with the help of the discrete alfvén wave spectrum. Plasma Phys. Rep. 26, 87–108 (2000). https://doi.org/10.1134/1.952827
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.952827