Long Wavelength Limit of the Current Convective Instability.

Abstract

The purpose of this paper is to present analytical and numerical results of the linear properties of the current convective instability in the long wavelength regime (kL < 1). The mathematical analysis is similar to that of the long wavelength limit of the E x B instability (from a previous work). The author derives a relatively simple dispersion equation of the mode, and presents simple dispersion relations in both the ion collisional and ion inertial regimes. These analytical results are compared to exact numerical results. The organization of the paper is as follows: (1) the derivation of a differential equation describing the mode; (2) the presentation of both analytical and numerical results; and (3) a summary of findings and a discussion of applications to the auroral ionosphere.

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Document Details

Document Type
Technical Report
Publication Date
Feb 23, 1984
Accession Number
ADA139172

Entities

People

  • Joseph D. Huba

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Altitude
  • Classification
  • Dispersion Relations
  • Electron Beams
  • Equations
  • Ionosphere
  • Ionospheric Disturbances
  • Long Wavelengths
  • Low Altitude
  • Magnetic Fields
  • Mathematical Analysis
  • Military Research
  • Physics Laboratories
  • Security
  • Short Wavelengths
  • Space Systems

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Space/Atmospheric Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.