Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T00:19:37.544Z Has data issue: false hasContentIssue false
  • English
  • Français

On the kinetic theory of stable and weakly unstable plasma. Part 1

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

A kinetic theory is presented which is valid for both weakly unstable and stable plasma. The theory corrects the conventional Balescu—Guernsey—Lenard description for the weakly stable portions of the fluctuation spectrum. The theory is no longer Markoffian in the distribution function F alone but is in the pair F and Ik the spectrum of fluctuations. Further the evolution in time from an initially weakly unstable distribution to the stable regime can be described. Even after passage into the stable state the fluctuations can be large nd lead to enhanced diffusion across a magnetic field. The coefficient of spatial diffusion is given in this weakly stable (or untable) state. A strong coupling is found between plasmons and the particles in the distribution with velocities near the phase velocities of the plasmons. There is only weak thermal contact between the plasmons and these particles with the main body of the distribution whenever certain nonlinear processes are of secondary importance.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 1 , February 1968 , pp. 33 - 49
Copyright
Copyright © Cambridge University Press 1968

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

Bernstein, I. & Engelman, F. 1966 Phys. Fluids 9, 937.CrossRefGoogle Scholar
Dawson, J. 1967 Private communication.CrossRefGoogle Scholar
Drummond, W. & Roseneluth, M. 1962 Phys. Fluids 5, 1507.Google Scholar
Dupree, T. 1963 Phys. Fluids 6, 1714.CrossRefGoogle Scholar
Eviatar, A. 1966 J. Geophys. Res. 71, 2715.CrossRefGoogle Scholar
Frieman, E. & Rutherford, P. 1964 Ann. Phys. 28, 134.CrossRefGoogle Scholar
Guernsey, R. 1967 Can. J. Phys. 45, 179.CrossRefGoogle Scholar
Harris, E. 1967 Phys. Fluids 10, 238.Google Scholar
Kadomstev, B. B. 1965 Plasma Turbulece. New York: Academic Press.Google Scholar
Lenard, A. 1960 Ann. Phys. 10, 390.CrossRefGoogle Scholar
Nishikawa, K. & Osaka, Y. 1965 Prog. Theor. Phys. 33, 402.Google Scholar
Perkins, F., Salpeter, E. E. & Yngvesson, K. O. 1965 Phys. Rev. Letters 14, 579.CrossRefGoogle Scholar
Pines, D. & Schrieffer, J. R. 1962 Phys. Rev. 125, 804.CrossRefGoogle Scholar
Rostoker, N. 1961 Nucl. Fusion 1, 101.Google Scholar
Rostoker, N. 1964 Phys. Fluids 4, 479.CrossRefGoogle Scholar
Spitzer, L. JR, 1962 Physics of Fully Ionized Gases, p. 135. New York: Interscience.Google Scholar
Stix, T. 1962 The Theory of Plasma Waves, p. 153. Now York: McGraw-Hill.Google Scholar
Van Kampen, N. G. 1955 Physica 21, 949.CrossRefGoogle Scholar
Van Kampen, N. G. 1957 Physica 23, 641.CrossRefGoogle Scholar