COLLISION-INDUCED INSTABILITY IN A PLASMA WITH AN ISOTROPIC VELOCITY-SPACE BISTRIBUTION,

Abstract

A dispersion law for the propagation of longitudinal and transverse waves in an electron plasma is derived using the Boltzmann equation with a collision term representative of isotropic, recoilless, elastic, binary scattering of the electrons. Fo1 a spatially homogeneous plasma, the unperturbed ve1locity-space distribution is thus isotropic. Taking a collision frequency f which varies with speed v as f(v) = const. v to the h power, a class of collision-induced instabilities can arise if -3>h>+3. The growth rate of these instabilitaes is largest for an infinite wavelength perturbation. The results for transverse waves agree with an earlier derivation which used the relaxation approximation to describe the collisions. (Authooor)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0421009

Entities

People

  • Deborah J. Nelson
  • J. E. Drummond
  • J. L. Hirshfield

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Dispersions
  • Electrons
  • Equations
  • Frequency
  • Frequency Shift
  • Instability
  • Mathematics
  • Perturbations
  • Scattering
  • Transverse
  • Transverse Waves
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics
  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris