The Concept of Conductivity,

Abstract

The concept of conductivity in a hot plasma is reviewed and criticized. In particular, it is shown that even for arbitrarily small field strengths, a proportionality constant (tensor) does not in general exist between a frequency component of the field strength and the corresponding component of current density. Rather, insisting upon such a proportionality for a homogeneous plasma, defines a complete set of spatial field configurations (eigenfunctions of the conductivity). Each of these eigenfunctions separately satisfies Maxwell's equations. However, for an inhomogeneous plasma, even this is not possible, since, the eigenfunctions of conductivity are not solutions of Maxwell's equations. Consequently, no intrinsic property of the medium can be found to relate current density to electric field strength. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0720722

Entities

People

  • B. G. Springer
  • J. E. Drummond
  • R. A. Gerwin

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Conductivity
  • Current Density
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Electric Fields
  • Equations
  • Frequency
  • Mathematical Analysis
  • Mathematics
  • Physical Properties
  • Real Variables

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.