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Probability-maximization theory for a highly turbulent beam-plasma system

Published online by Cambridge University Press:  13 March 2009

Tadas Nakamura and
Takashi Yamamoto
Tadas Nakamura
Affiliation:
Geophysics Research Laboratory, University of Tokyo, Tokyo 113, Japan
Takashi Yamamoto
Affiliation:
Geophysics Research Laboratory, University of Tokyo, Tokyo 113, Japan
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Abstract

A new approach to the theoretical study of turbulent behaviour of a collisionless plasma is developed. This approach is based upon the concept or probability maximization originally applied to collisional gases by Boltzmann. The probability-maximization theory deals with stochastic processes in a steady turbulent plasma by solving for the most-probable distribution. Our theory as applied to counter-streaming electron beams can quantitatively predict beam retardation, i.e. a decrease in the mean velocity of electrons injected from the system boundary. This is also in agreement with the results of a one-dimensional numerical experiment performed for such a beam-plasma system.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987, pp. 483 - 493
Copyright
Copyright © Cambridge University Press 1987

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