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An exact formula for the thermal and particle diffusivities based on the diffusive transport model in tokamak plasmas

Published online by Cambridge University Press:  13 March 2009

Christian Janicki
Affiliation:
Centre Canadien de fusion magnétique Varennes, Québec, J3X1S1, Canada

Abstract

An exact solution for the thermal (Xe) or particle (D) diffusivities is derived (up to a constant factor) for the diffusive model in terms of the Fourier coefficients of the perturbed Te (or ne) signals. The common assumptions of constant ne and Xe (or D) generally used in the standard analytical or semi-analytical solutions are not required, since their radial dependences are taken explicitly into account. The effect of a damping (sink) term in the heat equation can also be implemented easily.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Callen, & Jahns, G. L. 1977 Phys. Rev. Lett. 38, 491.CrossRefGoogle Scholar
De Luca, F., Gorini, G., Jacchia, A. & Mantica, P. 1990 Report FP 90.17, Istituto de Fisica del Plasma, Milano.Google Scholar
Fredrickson, E. D., Callen, J. D., Mcguire, K. et al. 1986 Nucl. Fusion 26, 849.CrossRefGoogle Scholar
Goedheer, W. J. 1986 Nucl. Fusion 26, 1043.CrossRefGoogle Scholar
IMSL 1989 IMSL PDE/PROTRAN. Problem-Solving Software Systems.Google Scholar
Jahns, G. L., Wong, S. K., Prater, R., Lin, S. H. & Ejima, S. 1986 Nucl. Fusion 26, 226.CrossRefGoogle Scholar
Janicki, C. 1991 CCFM Report RI-335e.Google Scholar
Kim, S. K., Brower, D. L., Peebles, W. A. & Luhmann, N. C. 1988 Phys. Rev. Lett. 60, 577.CrossRefGoogle Scholar
Lopes, Cardozo N. J., Tubbing, B. J. D., Tibone, F. & Taroni, A. 1988 Nucl. Fusion 28, 1173.CrossRefGoogle Scholar
Soler, M. & Callen, J. D. 1979 Nucl. Fusion 19, 703.CrossRefGoogle Scholar