A stochastic description of the non-equilibrium charge-carrier transport process in polymer insulators

A balance equation of the charge carrier transport process in the insulator regime (long-time process, time dependent injection, long-time stable space charges) is established. The equation describes the stochastic hopping process between localized levels, having random distribution in space and of energy. The specific aspect of the model is the stochastic treatment of the non-equilibrium dynamics of the space charge.