Simplified kinetic theories for electron-hole condensation

Abstract

It is shown that expressions for electron-hole droplet nucleation and decay currents, derived in earlier papers by the author and others, can be applied to problems of time-dependent exciton densities only in restricted conditions. The induction time, which characterizes the response of nucleation and decay currents to changes in the exciton density, must be shorter than the inverse logarithmic time derivative of the nucleation and decay currents when these are significant. Numerical studies show that the induction time is too long for steeply rising high-intensity pulses, and for most decay phenomena except for extremely slow changes in the laser intensity.