Models of streamers growth with "physical" time and fractal characteristics of streamer structures

Abstract

The results of computer simulation of the streamer growth in three-dimensional space are presented. Various stochastic growth criteria and different methods of including the "physical" time into the models are discussed. All the models with "physical" time were tested. An implicit finite-difference method for solving the system of equations for the graph was developed. A great number of numerical experiments was carried out for different magnitude of applied voltage and conductivity of streamer branches. Fractal dimension of simulated discharge patterns was examined.