Il Nuovo Cimento (1955-1965)

, Volume 34, Issue 4, pp 987–1009 | Cite as

Conductivity of a warm plasma to an oscillating electric force in the presence of a strong magnetic field



By assigning an equation of the Boltzmann type to each species of particles and treating these equations under the assumption that the field is spatially uniform, the electric conductivity of a warm plasma, composed of electrons, ions of one species, and neutral molecules of one species, in the presence of a stationary magnetic field is investigated. This treatment takes into account the collisions among particles. The electric force due to the collective displacements of charged particles is considered as distinguishable from the other part of the total electric force. The three resonant frequencies defined in this article are the natural frequencies of the system. The application of the results to radio waves and magneto-acoustic waves is suggested under various conditions. Due to the assumption of spatially uniform field in treating the conductivity, the application is valid only when the phase speed of a wave is higher than the average speed of thermal motions of particles.


Assegnando una equazione del tipo di Boltzmann a ciascuna specie di particelle e trattando queste equazioni nell’ipotesi che il campo sia spazialmente uniforme, si studia la conduttività elettrica di un plasma caldo, composto di elettroni, ioni di una sola specie e molecole neutre di una sola specie, in presenza di un campo magnetico stazionario. Questo trattamento tiene conto delle collisioni tra le particelle. Si suppone che la forza elettrica dovuta agli spostamenti collettivi di particelle cariche sia distinguibile dalle altre parti della forza elettrica totale. Le tre frequenze di risonanza definite in questo articolo sono le frequenze naturali del sistema. Si suggerisce l’applicazione dei risultati alle onde radio ed alle onde magneto-acustiche in varie condizioni. In conseguenza dell’ipotesi, fatta nel trattare la conduttività, che il campo sia spazialmente uniforme, l’applicazione è valida solo quando la velocità di fase di un’onda è maggiore della velocità media dei movimenti termici delle particelle.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    J. A. Ratcliffe:The Magneto-Ionic Theory and Its Application to Ionosphere (Cambridge, 1959).Google Scholar
  2. (2).
    E. Åström:Nature,165, 1019 (1950).MathSciNetCrossRefGoogle Scholar
  3. (3).
    N. Herlofson:Nature,165, 1020 (1950).MathSciNetADSCrossRefGoogle Scholar
  4. (4).
    E. Åström:Ark. Fys.,2, 443 (1951).MathSciNetMATHGoogle Scholar
  5. (5).
    P. A. Auer, H. Hurwitz jr. andR. D. Mitter:Phys. Fluids,1, 501 (1958).ADSCrossRefMATHGoogle Scholar
  6. (6).
    S. J. Buchsbaum:Phys. Fluids,3, 418 (1960).MathSciNetADSCrossRefGoogle Scholar
  7. (7).
    T. Koga:Proc. Fifth International Conference on Ionization Phenomena in Gases (Amsterdam, 1962), Vol.1, p. 505.Google Scholar
  8. (8).
    C. Oberman andF. Shure:Phys. Fluids,6, 834 (1963).MathSciNetADSCrossRefMATHGoogle Scholar
  9. (9).
    C. M. Tchen:Proc. Fifth International Conference on Ionization Phenomena in Gases (Amsterdam, 1962), Vol.1, p. 825.MATHGoogle Scholar
  10. (10).
    H. Grad:Proc. Fifth International Conference on Ionization Phenomena in Gases (Amsterdam, 1962), Vol.2, p. 1630.Google Scholar
  11. (11).
    T. Koga:Phys. Fluids,2, 580 (1959);4, 1162 (1961);5, 1552 (1962). Also see ref. (7).ADSMATHGoogle Scholar
  12. (12).
    I. Bernstein:Phys. Rev.,109, 10 (1958).MathSciNetADSCrossRefMATHGoogle Scholar
  13. (13).
    T. Koga:Phys. Fluids,5, 1552 (1963).MathSciNetADSCrossRefGoogle Scholar
  14. (15).
    P. L. Bhatnagar, E. P. Gross andM. Krook:Phys. Rev.,94, 551 (1954).ADSCrossRefGoogle Scholar
  15. (16).
    T. Koga: USCEC Tech. Rept. 83-206, University of Southern California (June 1961).Google Scholar

Copyright information

© Società Italiana di Fisica 1964

Authors and Affiliations

  • T. Koga
    • 1
  1. 1.Graduate CenterPolytechnic Institute of BrooklynFarmingdale

Personalised recommendations