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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

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