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Collisional transport for a superthermal ion species in magnetized plasma

Published online by Cambridge University Press:  13 March 2009

F. Cozzani  and
W. Horton
F. Cozzani
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712–1060
W. Horton
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712–1060
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Abstract

The transport theory of a high-energy ion species injected isotropically in a magnetized plasma is considered for arbitrary ratios of the high-energy ion cyclotron frequency to the collisional slowing down time. The assumptions of (i) low fractional density of the high-energy species and (ii) average ion speed faster than the thermal ions and slower than the electrons are used to decouple the kinetic equation for the high-energy species from the kinetic equations for background ions and electrons. The kinetic equation is solved by a Chapman–Enskog expansion in the strength of the gradients; an equation for the first correction to the lowest-order distribution function is obtained without scaling a priori the collision frequency with respect to the gyrofrequency. Various transport coefficients are explicitly calculated for the two cases of a weakly and a strongly magnetized plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 36 , Issue 3 , December 1986 , pp. 313 - 328
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Balescu, R. 1975 Equilibrium and Non-equilibrium Statistical Mechanics. Wiley.Google Scholar
Boyd, T. J. M. & Sanderson, J. J. 1969 Plasma Dynamics. Nelson.Google Scholar
Braginskii, S. I. 1957 Soviet Phys. JETP, 5, 965.Google Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 1, p. 205. Consultant Bureau.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases, 3rd ed.Cambridge University Press.Google Scholar
Chiuderi, C. 1979 High energy phenomena on the solar surface. In Stars and Star Systems. Reidel.Google Scholar
Cozzani, F. 1981 Ph.D. thesis, University of Parma.Google Scholar
Field, G. B. 1965 Ap. J. 142, 531.Google Scholar
Hinton, F. L. & Hazeltine, R. D. 1976 Rev. Mod. Phys. 48, 239.CrossRefGoogle Scholar
Luciano, J. F., Mora, P. & Virmont, J. 1983 Phys. Rev. Lett. 51, 1664.Google Scholar
Miyamoto, K. 1980 Plasma Physics for Nuclear Fusion. M.I.T. Press.Google Scholar