Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-26T04:51:44.310Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

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

Barakat, A. R. & Schunk, R. W. 1982 Plasma Phys. 24, 389.CrossRefGoogle Scholar
Belikov, V. S., Kolisnitchenko, Ya. I. & Oraevskii, V. N. 1974 Zh. Eksp. Teor. Fiz. 66, 1686.Google Scholar
Braginskii, S. I. 1965 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 1, p. 205. Consultants Bureau.Google Scholar
Burgers, J. M. 1969 Flow Equations for Composite Gases. Academic.Google Scholar
Chapman, S. & Cowling, T. G. 1970 Mathematical Theory of Non-Uniform Gases. Cambridge University Press.Google Scholar
Grad, H. 1949 Commun. Pure Appl. Math. 2, 231.Google Scholar
Grad, H. 1958 Handbuch der Physik (ed. Flugge, S.), vol. 12, p. 205. Springer.Google Scholar
Mintzer, D. 1965 Phys. Fluids, 8, 1076.CrossRefGoogle Scholar
Oraevskii, V., Chodura, R. & Feneberg, W. 1968 Plasma Phys. 10, 819.CrossRefGoogle Scholar
Oraevskii, V. N., Konikov, Yu. V. & Khazanov, G. V. 1985 Transport Processes in an Anisotropic Near-Terrestrial Cosmical Plasma. Nauka.Google Scholar
Salat, A. 1975 Plasma Phys. 17, 589.CrossRefGoogle Scholar
Schunk, R. W. 1975 Planet Space Sci. 23, 437.CrossRefGoogle Scholar
Schunk, R. W. 1977 Rev. Geophys. Space Phys. 15, 429.CrossRefGoogle Scholar
Shkarofsky, I. P., Johnston, T. W. & Bachynski, M. P. 1966 The Particle Kinetics of Plasmas. Addison-Wesley.Google Scholar
Vedenov, A. A. 1963 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 3, p. 203. Atomizdat.Google Scholar
Vedenov, A. A. & Ryutov, D. D. 1972 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 6, p. 3. Atomizdat.Google Scholar
Vedenov, A. A., Velikhov, E. P. & Sagdeev, R. Z. 1962 Nuclear Fusion (Suppl.), 2, 465.Google Scholar