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Derivation and properties of a Balescu–Lenard like equation for stationary plasma turbulence in the weak-coupling approximation

Published online by Cambridge University Press:  13 March 2009

Guy Pelletier  and
Claude Pomot
Guy Pelletier
Affiliation:
Laboratoire do Physique des Plasmas, Equipo do Recherche Associée au CNRS, Université do Grenoble I
Claude Pomot
Affiliation:
Laboratoire do Physique des Plasmas, Equipo do Recherche Associée au CNRS, Université do Grenoble I
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Abstract

In this paper, we derive a kinetic equation and discuss its validity for a stationary turbulent plasma. We use, for this purpose, the Dupree— Weinstock model in the weak-coupling approximation, and take into account ballistic streams. Frictional effects appear, in addition to the velocity diffusion. The diffusion causes a resonance broadening, the friction causes a frequency shift. Our model is a generalization of the dressed test particle model, and leads to a kinetic equation formally similar to Balescu— Lenard' s. A comparison between our model and the Dupree ‘clump’ theory is developed. Physical quantities are conserved, the H theorem is satisfied; but the asymptotic solution is not necessarily a Maxwellian distribution function.

Type
Research Article
Information
Journal of Plasma Physics , Volume 14 , Issue 1 , August 1975 , pp. 153 - 167
Copyright
Copyright © Cambridge University Press 1975

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References

REFERENCES

Dupree, T. 1966 Phys. Fluids, 9, 1773.CrossRefGoogle Scholar
Dupree, T. 1972 Phys. Fluids, 15, 334.CrossRefGoogle Scholar
Hinton, F. L. & Oberman, C. 1968 Phys. Fluids, 11, 1982.CrossRefGoogle Scholar
Krall, N. & Tidman, D. 1969 Phys. Fluids, 12, 607.Google Scholar
Misguich, J. H. & Balescu, R. 1975 J. Plasma Phys. 13, 385.Google Scholar
Montgomery, D. & Tidman, D. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Rogister, A. & Oberman, C. 1968 J. Plasma Phys. 2, 33.CrossRefGoogle Scholar
Rostoker, N. 1964 Phys. Fluids, 7, 479.CrossRefGoogle Scholar
Sleeper, A., Weinstock, J. & Bezzerides, B. 1973 Phys. Fluids, 16, 1508.CrossRefGoogle Scholar
Thomson, J. J. & Benford, G. 1973 J. Math. Phys. 14, 531.CrossRefGoogle Scholar
Weinstock, J. 1969 Phys. Fluids, 12, 1045.CrossRefGoogle Scholar
Yosida, K. 1965 Functional Analysis. Springer.Google Scholar