EQUATIONS GOVERNING APPROACH TO EQUILIBRIUM OF A RADIATING GAS. I. CYCLOTRON RADIATION.
Abstract
The kinetic equation for the single particle distribution function and the equation of radiative transport are developed for a fully ionized gas interacting via its transverse or radiation field in the presence of an externally applied magnetic field. The starting point of the analysis is with Liouville's equation for N particles and a denumerably infinite set of oscillators. The dynamical character of the system is described by the Heitler Hamiltonian. The reduction of Liouville's equation to the equation for the single particle distribution function and the equation of radiative transport is accomplished by analogy to the perturbation technique used by Prigogine and his co-workers to reduce Liouville's equation for a plasma interacting via its longitudinal or Coulomb field. The equations obtained are to first order in the interaction parameter, which results in Fokker-Planck type equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0651678
Entities
People
- John M. Smith
Organizations
- General Electric