Numerical Solutions of the Three-Dimensional Kinetic Equation of the Parametric Decay Instability.

Abstract

The three-dimensional 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 mode-coupling. For both, relative pump powers range from 1 to 20. In general, the mode-coupling 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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0787455

Entities

People

  • B. B. Godfrey
  • J. D. Letterio

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Collisions
  • Couplings
  • Deuterium
  • Energy Levels
  • Equations
  • Frequency
  • Instability
  • Mathematics
  • Personal Information Managers
  • Saturation
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Mathematics or Statistics
  • Plasma Physics / Magnetohydrodynamics