Abstract

Longitudinal and transverse dielectric functions are derived from the Vlasov equation with the Landau ion-electron collision operator. The linear collisional propagator has been computed with the use of continuous fractions [Phys. Fluids 30, 1353 (1987)]. The model gives results which are valid in all the frequency and collisionality range. For Maxwellian plasmas, the dispersion relations of Langmuir and electromagnetic waves are explicitly computed with thermal corrections up to the fourth order. For the transverse waves, the results obtained are in good agreement with those deduced from the collisional Dawson-Oberman model [Phys. Fluids 5, 517 (1962)]. A numerical solution of the longitudinal damping rate is obtained. The dispersion relations for weakly anisotropic plasmas are studied. It is shown in particular that, for the collisional damping rates, the corrections due to the anisotropic effects are of the same order as the thermal corrections.

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