Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-26T03:14:04.430Z Has data issue: false hasContentIssue false
  • English
  • Français

The conductivity of a partially ionized gas in alternating electric fields

Published online by Cambridge University Press:  28 March 2006

J. P. Dougherty
J. P. Dougherty
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

A conductivity tensor is calculated for a partially ionized gas subject to electric fields which are harmonic in space and time, and to a uniform magnetic field. The collisions between charged particles and neutral molecules are included in the theory in an approximate way by means of a simplified form of Boltzmann's equation, as proposed by Bhatnagar, Gross and Krook. A simplified expression for the longitudinal component of the tensor is derived. Some applications of the results are mentioned, and will be described in detail in further papers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 1 , May 1963 , pp. 126 - 137
Copyright
© 1963 Cambridge University Press

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

Bernstein, I. B. 1958 Phys. Rev. 109, 10.
Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.
Chapman, S. & Cowling, T. G. 1952 The Mathematical Theory of Non-uniform Gases, 2nd edn. Cambridge University Press.
Cowling, T. G. 1945 Proc. Roy. Soc. 183, 453.
Deslodge, E. A. & Matthysse, S. W. 1960 Amer. J. Phys. 28, 1.
Dougherty, J. P. & Farley, D. T. 1960 Proc. Roy. Soc. A, 259, 79.
Dougherty, J. P. & Farley, D. T. 1963 (to be published).
Farley, D. T. 1963a Phys. Rev. Letters, 10, 279.
Farley, D. T. 1963b (To be published.)
Farley, D. T., Dougherty, J. P. & Barron, D. W. 1961 Proc. Roy. Soc. A, 263, 238.
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. New York: Academic Press.
Gross, E. P. & Krook, M. 1956 Phys. Rev. 102, 593.
Hagfors, T. 1961 J. Geophys. Res. 66, 1699.
Kantrowitz, A. R. & Petschek, H. E. 1957 Magnetohydrodynamics. (ed. Landshoff.) Stanford University Press.
Lewis, R. M. & Keller, J. B. 1962 Phys. Fluids, 5, 1248.
Ratcliffe, J. A. 1959 The Magneto-Ionic Theory. Cambridge University Press.
Renau, J., Camnitz, H. & Flood, W. 1961 J. Geophys. Res. 66, 2703.