On Transport Processes in a Plasma (Kinetic Equation for a Plasma)

Abstract

Authors usually neglect the effect of Coulomb field in the space of radius e2/(3kT/2) surrounding a charged particle, and derive equations of the Fokker-Planck type from the Liouville equation of a plasma. The effect of the inner core field, neglected usually, is shown to be present in an equation of the Fokker-Planck type as an additional term similar to the collision term in an equation of the Boltzmann type. It is shown that the order of this additional term may easily be larger than those of the friction and diffusion terms, the effect of the outer core field. When the effect of the outer core field is larger than that of the inner core field, the assumption of binary interaction is shown to be not feasible. The possible nonlinear and non-Markovian behavior of a particle is neglected.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0268355

Entities

People

  • Toyoki Koga

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Diffusion
  • Distribution Functions
  • Electric Charge
  • Electric Fields
  • Energy
  • Engineering
  • Equations
  • Fokker Planck Equations
  • Friction
  • Government Procurement
  • Lepidoptera
  • Liouville Equation
  • Momentum
  • Particles
  • Test And Evaluation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space
  • Space - Hall-Effect Thruster