Analysis of charge transport in high resistivity conductors under different conduction models

A numerical algorithm for the simulation of electric charge transport in high-resistivity conductors is discussed in the paper. Equations for different conduction models are compared and the numerical techniques are presented. The algorithm is based on the Finite Element Analysis of the electric field and Finite Volume (Donor-Cell) simulation of the charge conservation equation. Both problems are solved in the time domain using the explicit Finite Difference Method until the steady state is reached. The algorithm is illustrated by the example of the corona charging of a spherical particle. In particular, the particle charging for ohmic conduction and the constant mobility limit are compared.