Equilibrium State of Finite Length Plasma Puffs: A Green's Function Approach to the Resultant Generalized Axisymmetric Potential Equation.

Abstract

The equilibrium state of plasma puffs produced by a theta-pinch gun firing into an axial magnetic field has been studied theoretically. The plasma puffs are of finite length, with radially and axially dependent density gradients. This model, which is physically more realistic than an infinitely long puff, leads to a nonlinear partial differential equation for the density that is related to the generalized antisysmetric potential (GASP) type of equation. A Green's function method is described for converting the partial differential density equation into an iterative integral equation that appears more amenable to computer treatment. The iterated density thus becomes a functional of the trial density, which is the kernel of the integral equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0752498

Entities

People

  • Howard M. Stainer

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Computers
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics