Theoretical properties of streamers in solid dielectrics

A model has previously been described (1,2) which provides for the self-consistent numerical description of the spatially and temporally coherent evolution of electron avalanches in solid dielectrics. Various features of the propagating negative tip of the avalanche have been presented (1), and speculations were offered about the possible importance of recurring processes at the positive tip leading to cathode directed streamer formation and subsequent breakdown (2). An extensive set of numerical calculations has now been performed within this model framework. The purpose of the calculations was to explore the dependence of important calculational features on the input parameters of the model. A preliminary description of the results of this parameter study is given in this note. The research is part of an ongoing program to understand the charging and discharging properties of electron beam irradiated solid dielectrics.