Random Walk Solution to the Spherical Continuum Electrostatic Probe Problem.

Abstract

The Monte Carlo random walk numerical technique is developed and applied to the spherical continuum electrostatic probe equations. Random walk theory is treated in detail and its advantages and restrictions are presented. Emphasis is placed upon the algorithm for solution to second order ordinary differential equations. Continuum probe theory is reviewed and a new set of boundary conditions for electron and ion densities at the probe surface is presented. The momentum transport equations are reduced to second order to allow a random walk solution and to delete the explicit appearance of the electron and ion currents. Internal plasma profiles for electron and ion densities and for the voltage, parameterized current-voltage data, and values of current as a function of plasma properties, are presented for the case of equal electron and ion temperatures.

Document Details

Document Type
Technical Report
Publication Date
Dec 06, 1974
Accession Number
ADA005286

Entities

People

  • Kenneth A. Dreyer

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Differential Equations
  • Electrons
  • Electrostatic Probes
  • Equations
  • Ion Density
  • Ions
  • Partial Differential Equations
  • Random Walk

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics.

Technology Areas

  • Microelectronics