Scattering function of a two-component fully ionized gas

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Abstract
The effects of collisions on the scattering function of a two‐component fully ionized gas are discussed, using an improved Brownian motion type collision model. In the collision model, the particle numbers as well as the energy and the linear momentum are conserved; and the electron‐ion collisions are taken into account. The dispersion relations are discussed in detail, and explicit calculations are carried out for the scattering function and the energy‐loss function in the long wavelength approximation when the wavelength is greater than the mean free path and the Debye length. The damped plasma oscillations dominate the energy‐loss function; while for the scattering function thermal diffusions and sound propagations dominate the low frequency region and contribute most to the total scattering cross section. The contribution from the damped plasma oscillations to the scattering becomes important only for high frequencies near the plasma oscillation frequency.