Effect of diffusion on space charge formation in dielectrics under steady-state DC conditions

Despite copious experimental results, space charge formation in dielectrics is yet to be understood. Dynamics of current conduction across dielectric specimen is attributed for the formation of different types of space charges. However, analytical treatment of relation between conduction and different types of space charge formation is scanty in the literature. As a first step, the author presents analytical solutions to the steady-state dc problem including the effect of diffusion. The author´s solutions throw light on certain experimentally observed space charge phenomena in LDPE and found to match with experimental results available in the literature. Several interesting results/observations are presented in the paper.