Multi-Term Boltzmann Analysis of Electrons in N2.

Abstract

A multi-term spherical harmonic expansion method was previously developed for the numerical solution of the Boltzmann transport equation in the context of electron swarm analysis. Here, the method is used to investigate the validity of the more usual two-term spherical harmonic expansion in nitrogen. The multi-term method has also been used to study the effects of ionization and anisotropic cross-sections. Studies are given of the convergence of swarm parameters using the Boltzmann code and the effects of boundaries by comparing the Boltzmann results with Monte Carlo studies in nitrogen at moderate field strengths. These calculations were done using a set of cross-sections previously derived from swarm experiments and the fields were constrained to be low enough that secondary electrons resulting from ionization were safely ignored. The extension of the calculations to higher fields was accomplished by using higher energy cross-sections than available from the swarm data and by slight modification of the computational techniques. The effect of anisotropic scattering was investigated and found to be negligible at low field strengths but quite important at the one higher field of 500 Townsends that was investigated. Calculations are presented for field strengths high enough that 50% of the electron energy loss is to ionization. Implications of these results are discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA101656

Entities

People

  • Arthur V. Phelps
  • L. C. Pitchford

Organizations

  • JILA

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boltzmann Equation
  • Contracts
  • Differential Cross Sections
  • Differential Equations
  • Diffusion Coefficient
  • Distribution Functions
  • Electron Energy
  • Electron Scattering
  • Elements
  • Energy Transfer
  • Legendre Functions
  • Mathematical Models
  • Momentum Transfer
  • Scattering Cross Sections
  • Spherical Harmonics
  • United States

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Plasma Physics.

Technology Areas

  • Microelectronics