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Functional calculus in strong plasma turbulence

Published online by Cambridge University Press:  13 March 2009

Goodarz Ahmadi  and
Akira Hirose
Goodarz Ahmadi
Affiliation:
Department of Mechnical Engineering, Shiraz University, Shiraz, Iran
Akira Hirose
Affiliation:
Department of Physics, University of Saskatchewan, Saskatoon, Canada
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Abstract

The theory of electrostatic plasma turbulence is considered. The basic equations for the dynamics of the hierarchy of the moment equations are derived and the difficulty of the closure problem for strong plasma turbulence is discussed. The characteristic functional in phase space is introduced and its relations to the correlation functions are described. The Hopf functional equation for dynamics of the characteristic functional is derived, and its equivalence to the hierarchy of the moment equations is established. Similar formulations were carried out in velocity-wave vector space. characteristic functional are considered and their relationships are studied. An approximate solution for Hopf's equation for the nearly normal turbulence is obtained which is shown to predict diffusion of the mean distribution function in velocity space.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 3 , December 1980 , pp. 489 - 501
Copyright
Copyright © Cambridge University Press 1980

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