Population Dynamics of Excitonic Molecules. II. Collision Effects

Abstract

Dynamical behavior of population of excitonic molecules in the kinetic energy space is investigated by taking into account the mutual interaction of molecules and the interaction with the heat bath of acoustic phonons. The potential energy between molecules is assumed to be constant for momentum transfer q≤q₀ and zero otherwise. Then in the limit of q₀⁄K→0, where K is the momentum of the excitonic molecules, the number density in the energy space is described exactly by a Fokker Planck equation. The integral differential equation for the number density is solved numerically and some characteristics of this equation are clarified.