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Fokker-Planck calculations on heat flow in plasmas

Published online by Cambridge University Press:  13 March 2009

S. Jorna  and
L. Wood
S. Jorna
Affiliation:
Department of Applied Mathematics, University of St Andrews, Scotland
L. Wood
Affiliation:
Department of Applied Mathematics, University of St Andrews, Scotland
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Abstract

This paper deals with the application of a Fokker–Planck code to the problem of heat conduction down steep thermal gradients. The results are compared with those obtained with other codes based on the Fokker–Planck equation in which various simplifying assumptions are made in the calculation of the Rosenbluth potentials. The particular problem considered is that of heat flow between spherical shells at different temperatures. The difference between the heat flows resulting from isotropic and anisotropic distributions is specially emphasized. The results show that, for calculating temperature, the usual Legendre polynomial expansion for the angular dependence of the distribution function gives reasonable results even when it is limited to two terms. However, the heat fluxes can differ by a factor of two when the Rosenbluth potentials are calculated from angular averages of the distribution function even when in the rest of the calculation the Legendre expansion is retained to all orders.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 2 , October 1987 , pp. 317 - 333
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Bell, A. R., Evans, R. G. & Nicholas, D. J. 1981 Phys. Rev. Lett. 46, 243.Google Scholar
Chang, J. S. & Cooper, G. 1970 J. Comp. Phys. 6, 1.Google Scholar
Chang, J. S. & Knorr, G. 1976 J. Comp. Phys. 22, 330.CrossRefGoogle Scholar
Dolinsky, A. 1965 Phys. Fluids, 8, 436.Google Scholar
Jorna, S. & Wood, L. 1987 Phys. Rev. A, 36.Google Scholar
Matte, J. P. & Virmont, J. 1982 Phys. Rev. Lett. 49, 1936.Google Scholar
Parter, S. V. 1962 Numer. Math. 4, 277.Google Scholar
Rosenbluth, M. N., MacDonald, W. M. & Judd, D. L. 1957 Phys. Rev. 107, 1.Google Scholar
Spitzer, L. & Härm, R. 1953 Phys. Rev. 89, 977.Google Scholar