TRANSPORT OF COSMIC RAYS IN THE INTERPLANETARY MEDIUM,

Abstract

By quasilinearization of the Liouville equation for a charged particle in an electromagnetic field combined with an ensemble average over field configurations, a transport equation is derived for the ensemble average particle-distribution function. The resulting integro-differential equation is rewritten in terms of a simpler characteristic function which, when found, gives the complete solution in terms of the particle orbits in the ensemble mean fields. With the appropriate approximations, the equation reduces to the Fokker-Planck form applied recently by Jokipii to galactic cosmic-ray modulation, and by the author to energetic solar-flare particle propagation. It is argued that the equation, although complicated, offers several advantages as a starting point for transport theory over the simpler but less appropriate Fokker-Planck and Boltzmann equations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1967
Accession Number
AD0664092

Entities

People

  • E. C. Roelof

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Charged Particles
  • Cosmic Rays
  • Differential Equations
  • Distribution Functions
  • Electromagnetic Fields
  • Equations
  • Galactic Cosmic Rays
  • Liouville Equation
  • Particles
  • Solar Flares
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Solar Physics

Technology Areas

  • Space