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Distribution function and diffusion of α-particles in DT fusion plasma

Published online by Cambridge University Press:  13 March 2009

M. A. Liberman
Affiliation:
Institute for Physical Problems, Moscow, USSR
A. L. Velikovich
Affiliation:
Institute for Physical Problems, Moscow, USSR

Abstract

In the Fokker-Planck approximation, a general solution of the kinetic equation for the distribution function of non-thermal α-particles in spatially uniform DT plasma is obtained. The previously published solutions are then derived as special cases. Transport equations describing diffusion of non-thermal α-particles are obtained and diffusion coefficients are calculated. To compare the hydro-dynamic and kinetic descriptions of non-thermal α-particle energy transport, the critical ignition length of the overheating instability in DT fusion plasma, determined by non-local plasma heating due to α-particle diffusion, is calculated using both approaches. The two results are in good agreement.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Asano, N., Nishihara, K., Nozaki, K. & Taniuti, T. 1976. J. Phys. Soc. Japan, 41, 1774.Google Scholar
Anderson, D., Gustavsson, H. G., Hamnen, H. & Lisak, M. 1982 Nucl. Fusion, 22, 403.CrossRefGoogle Scholar
Brueckner, K. & Jorna, S. 1974 Rev. Mod. Phys. 46, 325.Google Scholar
Corman, E. G., Loewe, W. E., Cooper, G. E. & Winslow, A. M. 1975 Nucl. Fusion, 15, 377.Google Scholar
Ivanov, M. F. & Shvetz, V. F. 1980 Zhurn. Tekh. Fiz. 50, 1075.Google Scholar
Kolesnichenko, Y. I. 1975 Fiz. Plazmy, 1, 806.Google Scholar
Kolesnichenko, Y. I. 1980 Fiz. Plazmy, 6, 973.Google Scholar
Lawson, J. D. 1957 Proc. Phys. Soc. (London), B70, 6.Google Scholar
Liberman, M. A. & Velikovich, A. L. 1984 J. Plasma Phys.Google Scholar
Lisak, M., Anderson, D., Hamnen, H., Wilhelmsson, H. & Tendler, M. 1982 Nucl. Fusion, 22, 359.Google Scholar
Nocentini, A., Tessarotto, M. & Engelmann, F. 1975 Nucl. Fusion, 15, 359.CrossRefGoogle Scholar
Saito, H., Sekiguchi, T., Katsurai, M. & Maekawa, S. 1977 Nucl. Fusion, 17, 919.Google Scholar
Tsuji, H., Katsuraji, M., Sekiguchi, T. & Nakano, N. 1976 Nucl. Fusion, 16, 287.CrossRefGoogle Scholar