An analytical model of electric field assisted diffusion of ions into glass is extended to include two indigenous mobile ion species that are initially uniformly distributed within the glass. A quasi-stationary state solution that includes diffusion effects and is applicable when the invasive ions have a lower mobility than the two indigenous species is presented. It is relevant to the electrical poling of soda-lime and borosilicate glasses with concentrations of mobile ions (Na⁺, K⁺) that are processed with a non-blocking anode where hydrogen ion injection occurs. The model is compared with numerical solutions based on the drift-diffusion equations and Poisson's equation and shows good agreement. The increase in the concentration of the indigenous species with the lower mobility (K⁺) below the poled layer within a pile-up region is accurately modelled.

电场辅助离子扩散到玻璃中的分析模型被扩展为包括最初在玻璃内均匀分布的两种本地可移动离子物种。提出了一种包含扩散效应的准静态状态解决方案，当侵入离子的迁移率低于两个本地物种时，该解决方案适用。这与具有移动离子浓度（Na ⁺，K ⁺）的钠钙玻​​璃和硼硅酸盐玻璃的电极化有关，该离子在发生氢离子注入的无阻塞阳极下进行处理。该模型与基于漂移扩散方程和泊松方程的数值解进行了比较，并显示出良好的一致性。流动性较低的土著物种的集中度增加（K⁺）在堆积区域内的极化层下被精确建模。