On the Theory of Plasma Turbulence.

Abstract

The nonlinear stochastic equations descriptive of a turbulent field belong to a class of perturbation problems that can be solved via the formal theory of scattering. With a proper choice of unperturbed operators, formally exact operator solutions can be derived and expanded into explicit, rapidly convergent, nonsecular representations of the fields and their transport properties. These results may be obtained via operator algebra or diagram methods, the former being preferred. The theory is illustrated for the case of a simple electron plasma wherein kinetic equations for particles and for waves are derived. The derivation appears to be analytically more transparent than that of Dupree's and has the virtue of exhibiting explicitly higher order terms, some of which are novel. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0763438

Entities

People

  • N. Marcuvitz

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Electrons
  • Equations
  • Mathematics
  • Particles
  • Perturbations
  • Scattering
  • Transport Properties
  • Transport Ships
  • Turbulence

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics