Plasma pp 110-113 | Cite as

Electrostatic Oscillations with Ions

  • D. A. Frank-Kamenetskii


In considering electrostatic oscillations we usually only examine high-frequency oscillations, in which case the ion motion can be neglected. We call these oscillations plasma oscillations. If we take the ion motion into account we find a plasma with no magnetic field can support two oscillation branches, both being associated with charge separation. One ofthese is a high-frequency oscillation; this is the electron plasma oscillation which has just been considered. The frequency, as we have just seen, starts at the electron plasma frequency and goes to higher frequencies. In a cold plasma the frequency approaches the electron plasma frequency. The inclusion of ion motion has a very weak effect on the electron branch. An accurate expression for the electron plasma frequency, including ion motion, is
$$\omega _0^2 = \frac{{n{e^2}}}{{{\varepsilon _0}m}}\left( {1 + \frac{{Zm}}{M}} \right).$$


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Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • D. A. Frank-Kamenetskii
    • 1
  1. 1.Kurchatov Institute of Atomic EnergyAcademy of Sciences of the USSRMoscowRussia

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