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Hydrodynamic equations for a plasma in the region of the distribution-function plateau

Published online by Cambridge University Press:  13 March 2009

Yu. V. Konikov  and
V. N. Oraevskii
Yu. V. Konikov
Affiliation:
Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the Academy of Sciences of the USSR (IZMIRAN), Troitsk, Moscow Region 142092, U.S.S.R.
V. N. Oraevskii
Affiliation:
Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the Academy of Sciences of the USSR (IZMIRAN), Troitsk, Moscow Region 142092, U.S.S.R.
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Abstract

A hydrodynamic theory is presented for plasma particles whose distribution function is close to a plateau in some phase-space region for a finite one-dimensional phase-spase interval. In the framework of the methods of moments, a series expansion of the particle distribution function in an appropriate system of orthogonal (Legendre) polynomials near the state with a plateau is carried out. Deviations from the plateau are due to the presence of a heat flux. The expansion obtained for the distribution function is used to truncate the chain of hydrodynamic equations and to calculate the additional terms arising from the finiteness of the phase interval. The case of one-dimensional Langmuir turbulence is considered as an example. Expressions are presented for the moments of the quasilinear integral of collisions, which describe the variations of the macroscopic characteristics of resonant particles in the respective hydrodynamic equations. Criteria for applicability of the equations obtained are presented. Approximate invariants of motion are obtained in the extreme cases of narrow and broad plateaux.

Type
Research Article
Information
Journal of Plasma Physics , Volume 42 , Issue 2 , October 1989 , pp. 257 - 268
Copyright
Copyright © Cambridge University Press 1989

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