Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-09T23:47:02.179Z Has data issue: false hasContentIssue false
  • English
  • Français

Improved derivation of the modified BGK collision term and applications to the Hall effect and cold plasma dispersion relation

Published online by Cambridge University Press:  13 March 2009

M. Nagata
M. Nagata*
Affiliation:
Nihon-Kögakuin Hokkaido Technical College, Noboribetsu-shi, Hokkaido, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

We improve our previously derived addition to the BGK collision term, and express it in a simple form. The collision frequency for scattering now depends anisotropically on the velocity vector. We also apply the improved macroscopic equation of momentum flow to the Hall effect, the cold plasma dispersion relation and the cyclotron resonance. The Hall coefficient which is constant in the case of the BGK collision term now depends on the magnetic field. It is also shown that, compared with the almost symmetric classical curves of cyclotron resonance, the new curves are considerably asymmetric and their half-widths are about 3/2 times the classical ones.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 3 , December 1983 , pp. 371 - 387
Copyright
Copyright © Cambridge University Press 1983

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

Bhatnager, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 109, 10.Google Scholar
Budden, K. G. 1965 Radio Sci. 69D, 191.Google Scholar
Cavalleri, G. & Paveri-Fontana, S. L. 1972 Phys. Rev. A6, 327.CrossRefGoogle Scholar
Cavalleri, G. & Sesta, G. 1968 Phys. Rev. 170, 286.CrossRefGoogle Scholar
Chapman, S. & Cowling, T. G. 1939 The Mathematical Theory of Non-uniform Gases. Cambridge University Press.Google Scholar
Dodo, T. 1961 J. Phys. Soc. Japan, 16, 293.CrossRefGoogle Scholar
Kelly, D. C., Margenau, H. & Brown, S. C. 1957 Phys. Rev. 108, 1367.CrossRefGoogle Scholar
Kittel, C. 1956 Introduction to Solid State Physics (2nd edn). Wiley.Google Scholar
Krall, N. A. & Trivelpiece, A. 1970 Principles of Plasma Physics. McGraw-Hill.Google Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill.Google Scholar
Nagata, M. 1980 J. Plasma Phys. 23, 453.CrossRefGoogle Scholar
Reif, F. 1965 Fundamentals of Statistical and Thermal Physics. McGraw-Hill.Google Scholar
Sen, H. K. & Wyller, A. A. 1960 J. Geophys. Res. 65, 3931.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Tanaka, S. 1960 Nucl. Fusion Research, 4, 540, 550 (in Japanese).Google Scholar