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Energy equilibria in the diffuse pinch. Part 2. A tensor conductivity model

Published online by Cambridge University Press:  13 March 2009

A. Tomimura
Affiliation:
Blackett Laboratory, Imperial College, London, S.W.1
M. G. Haines
Affiliation:
Blackett Laboratory, Imperial College, London, S.W.1

Abstract

A tensor conductivity model for a fully ionized, two-temperature, cylindrical and diffuse pinch is constructed and its properties analyzed under energy and momentum equilibria conditions. The set of Braginskii's classical two-temperature tensor transport equations are solved for the strict steady state and the radial equilibria profiles of the relevant parameters produced. Unlike the scalar conductivity model (part 1 of this series) tensor coefficients yield profiles with the appropriate ideal boundary conditions, namely zero pressure and temperatures at the plasma radius. Furthermore, spatial oscillations of the electron temperature only occur for extreme values of the free parameters.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Bickerton, R. J. 1973 Nucl. Fusion, 13, 457.CrossRefGoogle Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics, vol. 1 (ed. Leontovich, M. A.), p. 205. Consultants Bureau.Google Scholar
Tomimura, A. 1977 Ph.D. thesis, University of London.Google Scholar
Tomimura, A. & Haines, M. G. 1979 J. Plasma Phys. 22, 397.CrossRefGoogle Scholar
Tomimura, A. & Haines, M. G. 1980 J. Plasma Phys. 23, 1.CrossRefGoogle Scholar