Electrostatic Response of a Two-Component Plasma with Coulomb Collisions

A rigorous procedure is proposed for finding a solution to kinetic equations with the Landau electron-electron, electron-ion, ion-electron, and ion-ion collision integrals in fully ionized plasma. The linear plasma response to the perturbation in the electrostatic field is described in terms of plasma dielectric permittivity. Solutions of the dispersion relation for electron plasma waves, ion-acoustic waves, and entropy modes are found in the entire range of frequencies, wave vectors, and particle collisionality. Several fits are obtained to enable practical applications of these results.