Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T18:50:55.090Z Has data issue: false hasContentIssue false
  • English
  • Français

On the A.C. electrical conductivity of a Lorentz gas

Published online by Cambridge University Press:  13 March 2009

J. H. M. Fu  and
R. S. B. Ong
J. H. M. Fu
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan
R. S. B. Ong
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan
Get access Rights & Permissions [Opens in a new window]

Abstract

Often one is interested in the electrical conductivity of a plasma for frequencies of the applied electric field comparable to or greater than the effective collision frequency. For the purpose of obtaining an order of magnitude estimate of the conductivity a Lorentz gas model with a Fokker–Planck collision term is used. For this simple model a formula for the a.c. electrical conductivity for two limiting cases is derived in closed form. The first term of the expression for the conductivity in the case where w/k is very large agrees with that obtained by Bernstein & Trehan (1960) for the spatially homogeneous case, while the effect of the spatial gradients is indicated in the higher order terms. In the case where w and k are both equal to zero the expression for the d.c. electrical conductivity of Spitzer (1962) is recovered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 1 , February 1968 , pp. 1 - 8
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. B. & Trehan, S. K. 1960 Nuc. Fusion 1, 3CrossRefGoogle Scholar
Comisar, G. C. 1963 Phys. Fluids 6, 76.CrossRefGoogle Scholar
Spitzer, L. 1962 Physics of Fully Ionized Gases, 2d ed.New York: Interscience.Google Scholar