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Dissipation by thermal forces in plasmas

Published online by Cambridge University Press:  13 March 2009

D. E. McClelland  and
R. R. Burman
D. E. McClelland
Affiliation:
Department of Physics, University of Western Australia, Nedlands, W.A. 6009, Australia
R. R. Burman
Affiliation:
Department of Physics, University of Western Australia, Nedlands, W.A. 6009, Australia
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Abstract

This paper deals with non-isothermal plasmas in which each species is described by Grad's thirteen-moment approximation. A theoretical framework, which includes a generalized Ohm's law and an ambipolar diffusion law, is used to treat energy dissipation resulting from ‘Motional’ interactions between the species. The frictional forces consist of a momentum relaxation force together with a ‘thermal force’ that occurs, in the presence of heat flow, partly because of the dependence of the collision frequencies on temperature. Detailed results are obtained for binary plasmas and for partially and fully ionized ternary plasmas. Our formalism is then compared with the technique used by Demetriades & Argyropoulos to study dissipation in thirteen-moment plasmas. The effects of thermal forces are illustrated by considering situations in which the drift contribution to the electronic relative thermal flux vector predominates over the thermal flux vector itself. Then, for binary plasmas and for ternary plasmas that are not too lightly ionized, the thermal forces increase the resistivity by a factor of about 5/2.

Type
Research Article
Information
Journal of Plasma Physics , Volume 31 , Issue 1 , February 1984 , pp. 47 - 65
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Braginskii, S. I. 1965 Reviews of Plasma Physics, vol. 1 (ed. M. A. Leontovich), 205.Google Scholar
Burgers, J. M. 1960 Symposium of Plasma Dynamics (ed. Clauser, F. H.), ch. 5, pp. 119–186. Addison-Wesley.Google Scholar
Burgers, J. M. 1969 Flow Equations for Composite Gases. Academic.Google Scholar
Burman, R. R. 1978 Czech. J. Phys. B28, 1221.Google Scholar
Burman, R. R., Byrne, J. C. & Buckingham, M. J. 1976 Czech. J. Phys. B26, 831.CrossRefGoogle Scholar
Byrne, J. C. 1975 Ph.D. thesis, University of Western Australia.Google Scholar
Byrne, J. C. 1977 Physica, 85C, 365.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases (3rd edn). Cambridge University Press.Google Scholar
Demetriades, S. T. & Argyropoulos, G. S. 1966 Phys. Fluids, 9, 2136.CrossRefGoogle Scholar
Grad, H. 1949 a Commun. Pure Appl. Math. 2, 325.Google Scholar
Grad, H. 1949 b Commun. Pure Appl. Math. 2, 331.Google Scholar
Tanenbaum, B. S. 1967 Plasma Physics. McGraw-Hill.Google Scholar
Zhdanov, V., Kagan, Yu. & Sazykin, A. 1962 Soviet Phys. JETP, 15, 596.Google Scholar