Gas Kinetic Approach for Electron-Ion Recombination Rate Constant in Dense Media

We present a statistical mechanical analysis of electron-ion recombination processes in weakly ionized nonpolar dense media, being based on the model which can explain the external electric field dependence of electron mobility in these media. We derive a diffusion equation by a projection technique from the phase space to the coordinate space where the stationary distribution of electron momentum in an external electric field has been realized. Then we estimate the recombination rate constant from this equation. Here we deal with the system classically as a three-body recombination process.