EQUATIONS GOVERNING APPROACH TO EQUILIBRIUM OF A RADIATING GAS. I. CYCLOTRON RADIATION.
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GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV
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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 Liouvilles 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 Liouvilles 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 Liouvilles 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
- Plasma Physics and Magnetohydrodynamics