In this article, we made a parametric study on the electrophoresis of charge-regulated soft particle. We consider a typical situation where the outer polyelectrolyte layer (PEL) carries zwitterionic functional group (e.g., succinoglycan). In addition, the inner rigid core is considered to be made of either silicon dioxide (SiO 2 ) or titanium dioxide (TiO 2 ), which produces zwitterionic surface charge. The mathematical model adopted here is based on the Poisson-Boltzmann equation for electric potential and Darcy-Brinkman and Stokes equation for the fluid flow across the surface PEL and electrolyte medium, respectively. In our current study, we have restricted ourselves with the low charge and weak electric field assumption. Using semi-analytical method, we solve the governing equations and electrophoretic mobility of core-shell particle is obtained. We have studied extensively the effects of the pH and concentration of bulk electrolyte, charge properties of the inner core surface and outer PEL, radius of the inner core, and thickness of outer PEL, on the overall electrophoretic behavior of the undertaken particle. We have also highlighted the change in sign in electrophoretic mobility by regulating the pertinent parameters governing the problem.

中文翻译：

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pH调节的两性离子软颗粒的电泳：半分析研究

在本文中，我们对电荷调节软粒子的电泳进行了参数研究。我们考虑一种典型情况，其中外聚电解质层 (PEL) 带有两性离子官能团（例如，琥珀聚糖）。此外，内部刚性核被认为是由二氧化硅 (SiO 2 ) 或二氧化钛 (TiO 2 ) 制成，可产生两性离子表面电荷。这里采用的数学模型分别基于电位的 Poisson-Boltzmann 方程和流过表面 PEL 和电解质介质的流体流动的 Darcy-Brinkman 和 Stokes 方程。在我们目前的研究中，我们限制了自己的低电荷和弱电场假设。使用半解析方法，求解控制方程，得到核壳粒子的电泳迁移率。我们已经广泛研究了本体电解质的 pH 值和浓度、内核表面和外 PEL 的电荷特性、内核半径和外 PEL 的厚度对所承担粒子的整体电泳行为的影响。我们还通过调节控制问题的相关参数来强调电泳迁移率的符号变化。