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An improved hierarchy for turbulent magnetized plasma Part 1. Theory

Published online by Cambridge University Press:  13 March 2009

Eldon J. Linnebur
Affiliation:
Department of Nuclear Engineering, University of Michigan
Terry Kammash
Affiliation:
Department of Nuclear Engineering, University of Michigan

Abstract

The kinetic equations for infinite homogeneous turbulent plasma in a magnetic field are analyzed using a projection operator which allows the time dependence to be maintained in a more exact and consistent manner than has been possible heretofore. By introducing approximations on the multi-time correlation function rather than the fluctuations, as is conventionally done, a hierarchy of equations is obtained which predicts different behaviour for the system especially in connexion with wave-wave interations. These effects are further highlighted by showing how the present results reduce to those obtained by various authors.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Aamodt, R. & Drummond, W. 1964 Phys. Fluids, 7, 1816.CrossRefGoogle Scholar
Coppi, B., Rosenbluth, M. & Sudan, R. 1969 Ann. Phys. 55, 207.CrossRefGoogle Scholar
Dupree, T. 1966 Phys. Fluids, 9, 1773.CrossRefGoogle Scholar
Harris, E. 1969 Advances in Plasma Physics (ed. Simon, & Thompson, ). Interscience.Google Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence. Academic.Google Scholar
Klimontovich, L. 1967 The Statistical Theory of Non-Equilibrium Processes in a Plasma MIT.Google Scholar
Rogister, A. & Oberman, C. 1968 J. Plasma Phys. 2, 33.CrossRefGoogle Scholar
Rogister, A. & Oberman, C. 1969 J. Plasma Phys. 3, 119.CrossRefGoogle Scholar
Weinstock, J. 1969 Phys. Fluids, 12, 1045.CrossRefGoogle Scholar