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Transport properties of the three-dimensional guiding-centre plasma

Published online by Cambridge University Press:  13 March 2009

George Vahala
George Vahala
Affiliation:
Courant Institute of Mathematical Sciences, New York University
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Abstract

Equilibrium and non-equilibrium properties of the three-dimensional guiding-centre plasma (in which the particles move with the guiding-centre drift across constant magnetic field lines, and according to Newton's laws along the field lines) are investigated. In equilibrium, the transverse spatial diffusion and conductivity coefficients are calculated, and are shown to be related via a generalized Einstein relation. The diffusion coefficient consists of a Bohm-like 1/B contribution which tends to zero as the plasma volume tends to infinity, as well as a classical 1/B2 contribution, which is independent of the size of the system. The Gibbs ensemble is constructed, and it is seen that thermal equilibrium results for the pair correlation, fluctuation spectra etc. are exactly the same as for the three-dimensional unmagnetized plasma. In the non-equilibrium case the appropriate Liouville equation and BBGKY hierarchy are considered. It is shown that to first order there is no tendency for the system (assumed spatially uniform) to relax towards thermal equilibrium.

Type
Research Article
Information
Journal of Plasma Physics , Volume 11 , Issue 1 , February 1974 , pp. 159 - 171
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Chandrasekhar, S. 1943 Rev. Mod. Phys. 15, 1.Google Scholar
Eldridge, O. & Felix, M. 1963 Phys. Fluids, 6, 398.Google Scholar
Harris, E. G. 1959 Phys. Rev. Lett. 2, 34.Google Scholar
Kubo, R. 1957 J. Phys. Soc. (Japan) 12, 570.CrossRefGoogle Scholar
Longmire, C. L. & Rosenbluth, M. N. 1956 Phys. Rev. 103, 507.CrossRefGoogle Scholar
Montgomery, D. 1967 Kinetic Theory. Lectures in Theor. Phys. 9c. (ed. Brittin, W., Barnt, A. and M.), p. 15. Gordon and Breach.Google Scholar
Montgomery, D. 1971 Theory of the Unmagnetized Plasma. Gordon and Breach.Google Scholar
Montgomery, D. & Tappert, F. 1972 Phys. Fluids, 15, 683.CrossRefGoogle Scholar
Montgomery, D., Liu, C. S. & Vahala, G. 1972 Phys. Fluids, 15, 815.Google Scholar
Rostoker, N. 1961 Nucl. Fusion, 1, 101.Google Scholar
Taylor, J. B. & Mcnamara, B. 1971 Phys. Fluids, 14, 1492.Google Scholar
Taylor, J. B. 1972 Proc. Fifth European Conf. on Controlled Fusion and Plasma Phys. (vol. 2).Google Scholar
Thompson, W. B. & Hubbard, J. 1960 Rev. Mod. Phys. 32, 714.Google Scholar
Vahala, G. & Montgomery, D. 1971 J. Plasma Phys. 6, 425.Google Scholar
Vahala, G. 1972 a Phys. Rev. Lett. 29, 93.CrossRefGoogle Scholar
Vahala, G. 1972 b J. Plasma Phys. 8, 357.Google Scholar
Vahala, G. 1972 c J. Plasma Phys. 8, 375.CrossRefGoogle Scholar