Stability of relativistic transverse cold plasma waves. Part 2. Linearly polarized waves
Abstract
This is part 2 of a paper concerned with the stability against small perturbations of a certain class of nonlinear wave solutions of the equations that describe a cold unmagnetized plasma. It refers to transverse linearly polarized waves in an electronpositron plasma. A numerical method, based on Floquet's theory of linear differential equations with periodic coefficients, is used to solve the perturbation equations and obtain the instability growth rates. All the three possible types of perturbations are discussed for a typical value of the (large) amplitude of the nonlinear wave: electrically longitudinal slightly unstable modes (with maximum growth rate γ approximately equal to 0·07ω_{0}, where ω_{0} is the frequency of the nonlinear wave); purely transverse moderately unstable modes (with γ 0·26ω_{0}) and highly unstable electrically transverse modes (with γ l·5ω_{0}).
 Publication:

Journal of Plasma Physics
 Pub Date:
 October 1979
 DOI:
 10.1017/S0022377800010059
 Bibcode:
 1979JPlPh..22..201R
 Keywords:

 Cold Plasmas;
 Magnetohydrodynamic Stability;
 Plasma Waves;
 Polarization (Waves);
 Relativistic Plasmas;
 Transverse Waves;
 Electron Plasma;
 ElectronPositron Plasmas;
 Graphs (Charts);
 Nonlinearity;
 Plasma Diffusion;
 Plasma Oscillations;
 Plasma Physics