# Accession Number:

## AD0657774

# Title:

## NONLINEAR MIXING OF WAVES IN A PLASMA WITH VELOCITY-DEPENDENT COLLISIONS.

# Descriptive Note:

## Interim technical rept.,

# Corporate Author:

## RCA VICTOR CO LTD MONTREAL (QUEBEC) RESEARCH LABS

# Personal Author(s):

# Report Date:

## 1967-05-01

# Pagination or Media Count:

## 45.0

# Abstract:

The frequency difference, sum and second harmonic currents, due to two interacting waves in a plasma with no external magnetic field, are calculated. The oscillation frequencies are taken to be sufficiently high that ion motion can be neglected. Landau damping is negligible compared to collisional damping. The nonlinearity is due to gradients in the a-c electric fields. The form of the zero order isotropic and non-oscillatory part of the velocity distribution function is left arbitrary. The velocity dependences of the collision frequency of electrons with neutrals, ions and other electrons are properly accounted for. The Fokker-Planck equation in its integro-differential form and including nonlinear terms is used for electron-electron collisions. The self-consistent electric field is included with nonlinear terms. Results are given a for any degree of ionization provided the lowest frequency in the mixing process is greater than the total collision frequency and b for a slightly ionized gas for any ratio of oscillation to collision frequency. In the former case, it is shown that electron-electron effects do not contribute to the nonlinear current arising from wave-mixing but contribute to the nonlinear self-consistent electric field. Author

# Descriptors:

# Subject Categories:

- Plasma Physics and Magnetohydrodynamics