Kinetic Theory of Forced Oscillations in a One-Dimensional Warm Plasma
In the present chapter we present the classical theory of forced oscillations of an electron gas. This theory, first given by Landau (1946), corresponds to wave excitation by a transparent grid immersed in a uniform plasma and biased at the plasma potential. As in Chapter 7, we will again use the concepts of free-streaming and collective perturbations in the plasma. We will show that, as first pointed out by Hirschfield and Jacobs (1968), the collisionless damping of macroscopic quantities such as electron density, electric field, and potential, is not always due to an energy exchange between waves and particles. In order to demonstrate this point we will compute the kinetic energy deposited in the plasma for the particular case of dipolar excitation.
KeywordsMeromorphic Function Density Perturbation Forced Oscillation Collective Effect Electron Distribution Function
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