Electrostatic transfer process of 4-layers structure (Photoreceptor, toner, paper, and transfer belt) which is specified by multiple layers of R-C parallel circuit and expressed by a set of 3 differential equations, is investigated rigorously with a method of eigen value and eigen vectors. Initial conditions of solutions are determined by static voltage difference of each layer, which are given by electrostatic Poisson's equations, and then space dependence and time one of solutions are unified by this analysis. Time evolution of each voltage, transfer efficiency and Paschen's discharge are discussed.
Yuji Furuya, "Space and Time Dependence on Transfer Process of Electrophotography" in Proc. IS&T Int'l Conf. on Digital Printing Technologies (NIP16), 2000, pp 841 - 845, https://doi.org/10.2352/ISSN.2169-4451.2000.16.1.art00104_2