Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T03:40:15.274Z Has data issue: false hasContentIssue false
  • English
  • Français

Some properties of the Fokker-Planck equation

Published online by Cambridge University Press:  13 March 2009

G. J. Lewak  and
L. A. Soto
G. J. Lewak
Affiliation:
Electrical Engineering and Computer Science Department, U.C.S.D. La Jolla, CA. 92093
L. A. Soto
Affiliation:
Electrical Engineering and Computer Science Department, U.C.S.D. La Jolla, CA. 92093
Get access Rights & Permissions [Opens in a new window]

Abstract

The solution of the Fokker-Planck equation for the distribution function of heavy ions in a background of electrons is studied. It is found that quite broad physical conditions on the distribution function (such as the positive requirement and the existence of all velocity moments) are sufficient to eliminate any ambiguity in the time-independent steady-state solutions and to determine a discrete spectrum of the time-dependent Fokker–Planck operator. The more physical case of a Maxwell-Boltzman electron distribution function is treated using the small mass ratio expansion. First-order mass ratio corrections are calculated. A plasma heating application-is suggested.

Type
Research Article
Information
Journal of Plasma Physics , Volume 33 , Issue 2 , April 1985 , pp. 183 - 189
Copyright
Copyright © Cambridge University Press 1985

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

Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory, p. 20. McGraw-Hill.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics, part 1, p. 611, McGraw-Hill.Google Scholar
Saito, H. et al. 1977 Nuclear Fusion Supp. Part 3, 337.Google Scholar
Tsuji, H. et al. 1976 Nucl. Fusion, 16. 2.CrossRefGoogle Scholar