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Effect of a weak ambipolar field on non-local heat transport using the non-diffusive approximation

Published online by Cambridge University Press:  13 March 2009

G. Murtaza
Affiliation:
Quaid-i-Azam University, Islamabad, Pakistan
Arshad M. Mirza
Affiliation:
Quaid-i-Azam University, Islamabad, Pakistan
M. S. Qaisar
Affiliation:
Quaid-i-Azam University, Islamabad, Pakistan

Abstract

We investigate the effect of a weak ambipolar field on non-local heat transport by solving the reduced Fokker-Planck equation in the non-diffusive approximation for the electron distribution function. It turns out that for a moderately high-Z plasma with steep gradients the maximum-heat-flow expression is modified and the ensuing results compare favourably with the experimental values. However, in the gentle-gradient limit the classical Spitzer-Härm heat flux expression is unaltered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Albritton, J. R., Williams, E. A., Bernstein, I. B. & Swartz, K. P. 1986 Phys. Rev. Lett. 57, 1887.CrossRefGoogle Scholar
Bell, A. R., Evans, R. G. & Nicholas, D. J. 1981 Phys. Rev. Lett. 46, 243.CrossRefGoogle Scholar
Bendib, A. R., Luciani, J. F. & Matte, J. P. 1988 Phys. Fluids, 31, 711.CrossRefGoogle Scholar
Gray, D. R. & Kilkenny, D. J. 1980 Plasma Phys. 22, 81.CrossRefGoogle Scholar
Kishimoto, Y., Mima, K. & Haines, M. G. 1988 J. Phys. Soc. Jpn, 57, 1972.CrossRefGoogle Scholar
Luciani, J. F., Mora, P. & Pellat, R. 1985 Phys. Fluids, 28, 835.CrossRefGoogle Scholar
Luciani, J. F., Mora, P. & Virmont, J. 1983 Phys. Rev. Lett. 51, 1664.CrossRefGoogle Scholar
Malone, R. C., McCrory, R. L. & Morse, R. L. 1975 Phys. Rev. Lett. 34, 721.CrossRefGoogle Scholar
Matte, J. P. & Virmont, J. 1982 Phys. Rev. Lett. 49, 1936.CrossRefGoogle Scholar
Max, C. E., McKee, C. E. & Mead, W. C. 1980 Phys. Fluids, 23, 1620.CrossRefGoogle Scholar
Mead, W. C. et al. 1984 Phys. Fluids, 27, 1301.CrossRefGoogle Scholar
Mirza, A. M. & Murtaza, G. 1989 Physica Scripta, 41, 262.CrossRefGoogle Scholar
Mirza, A. M., Murtaza, G. & Qaisar, M. S. 1989 Phys. Lett. A 141, 56.CrossRefGoogle Scholar
Murtaza, G., Mirza, A. M. & Qaisar, M. S. 1990 Physica Scripta 42, 347.CrossRefGoogle Scholar
Nuckolls, J. H., Wood, L., Thiessen, A. & Zimmerman, G. 1972 Nature, 239, 139.CrossRefGoogle Scholar
Spitzer, L. & Härm, R. 1953 Phys. Rev. 89, 977.CrossRefGoogle Scholar
Yaakobi, B. & Bristow, T. C. 1977 Phys. Rev. Lett. 38, 350.CrossRefGoogle Scholar
Young, F. C. et al. 1977 Appl. Phys. Lett. 30, 45.CrossRefGoogle Scholar