Numerical solutions of the threedimensional kinetic equation of the parametric decay instability
Abstract
The threedimensional time dependent kinetic equation for the saturation of the weakly driven parametric decay instability is solved numerically. Two cases are considered: (1) nonlinear Landau damping only and (2) nonlinear Landau damping plus modecoupling. For both, relative pump powers range from 1 to 20. In general, the modecoupling terms act to enhance saturation energy somewhat at large angles, without significantly affecting the total saturation energy level or the time evolution prior to saturation. For a deuterium plasma, the anomalous resistivity rate (relative to the plasma collision frequency) is found to be approximately 3.2 P sup(1.35), with P the relative pump power.
 Publication:

Final Report
 Pub Date:
 July 1974
 Bibcode:
 1974afwl.rept.....L
 Keywords:

 Deuterium Plasma;
 Kinetic Equations;
 Plasma Decay;
 Computer Programs;
 Electrostatic Probes;
 Fortran;
 Landau Damping;
 Numerical Analysis;
 Spectrum Analysis;
 Stability;
 SolidState Physics