Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-05T15:52:35.649Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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