Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-26T06:54:24.042Z Has data issue: false hasContentIssue false
  • English
  • Français

On the kinetic theory of stable and weakly unstable plasma. Part 2

Published online by Cambridge University Press:  13 March 2009

A. Rogister  and
C. Oberman
A. Rogister
Affiliation:
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey
C. Oberman
Affiliation:
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey
Get access Rights & Permissions [Opens in a new window]

Abstract

In plasma, where collective motions are made possible by the long range of the Coulomb interaction, there is properly no general kinetic equation for the one-particle distribution function alone. In part 1, we gave the foundations of an enlarged kinetic theory of plasma where the time evolution of the electric field fluctuations Ik is considered simultaneously with the time evolution of the one-particle distribution F. Here we improve these equations in a systematic fashion to include all processes which are relevant in stable and weakly unstable plasma. More precisely, the equation for the waves now includes, besides Landau damping and Cerenkov emission, the effect of collisional damping and nonlinear Landau damping, as well as emission via particle-particle scattering (bremsstrahlung), wave-particle and wave-wave scattering. The particle kinetic equation is also improved accordingly so that we obtain a kinetic description which is uniformly valid for all plasma réegimes, if one excludes strong turbulence (for which there is at present no completely satisfactory statistical theory).

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 1 , February 1969 , pp. 119 - 147
Copyright
Copyright © Cambridge University Press 1969

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

Birmingham, T., Dawson, J. & Oberman, C. 1965 Phys. Fluids 8, 297.CrossRefGoogle Scholar
Davidson, R. 1966 Ph.D. Dissertation, Princeton, New Jersey.Google Scholar
Dawson, J. & Shanny, R. 1968 Phy. Fluids 11, 1506.CrossRefGoogle Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion Suppl. 3, 1049.Google Scholar
Drummond, W. E. & Roseneluth, M. N. 1962 Phys. Fluids 5, 1507.CrossRefGoogle Scholar
Dupree, T. 1963 Phys. Fluids 6, 1714.CrossRefGoogle Scholar
Eviatar, A. 1966 J. Geophys. Res. 71, 2715.CrossRefGoogle Scholar
Frieman, E. 1963 J. Math. Phys. 4, 410.CrossRefGoogle Scholar
Frieman, E. & Rutherford, P. 1964 Ann. Phys. 28, 134.CrossRefGoogle Scholar
Harris, E. 1967 Phys. Fluids 10, 238.CrossRefGoogle Scholar
Kadomtsev, B. B. 1965 Plasma Turbulence. New York: Academic Press.Google Scholar
Kaufman, A. 1966 Phys. Rev. Lett. 17, 1127.CrossRefGoogle Scholar
Klimontovich, Yu. L. 1958 Soviet Phys. JETP 34, 114.Google Scholar
Landau, L. 1946 J. Phys. 10, 25.Google Scholar
Lenard, A. 1960 Ann. Phys. (N.Y.) 10, 390.CrossRefGoogle Scholar
Lin, C. C. & Reid, W. H. 1963 Handbuch der Physik, vol. VIII/2, 439, Springer-Verlag.Google Scholar
Oberman, C., Ron, A. & Dawson, J. 1962 Phys. Fluids 5, 1514.CrossRefGoogle Scholar
Pines, D. & Schrieffer, J. R. 1962 Phys. Rev. 125, 804.CrossRefGoogle Scholar
Rogister, A. & Oberlian, C. 1968 J. Plasma Phys. 2, 33.CrossRefGoogle Scholar
Rogister, A. & Oberman, C. 1967 Princeton Matt. Report no. 583.Google Scholar
Rostoker, N. 1961 Nucl. Fus. 1, 101.CrossRefGoogle Scholar