Abstract
Using a relativistic generalization of the Vlasov equation given recently within a new framework of Classical Relativistic Statistical Mechanics, small-amplitude self-oscillations or density waves in an unmagnetized plasma are studied. For longitudinal waves, known results are recovered. In the case of transverse self-oscillations, it is shown that supraluminous ones cannot exist and also that in the short wavelength region they give rise to an instability. In all cases low and high temperature limits are explored.
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