Carrique F, Ruiz-Reina E, Arroyo F J, Delgado A V
Departamento de Física Aplicada II, Facultad de Ciencias Universidad de Málaga, 29071 Málaga, Spain.
Departamento de Física, Facultad de Ciencias Experimentales Universidad de Jaén, 23071 Jaén, Spain.
Phys Rev E. 2020 Sep;102(3-1):032614. doi: 10.1103/PhysRevE.102.032614.
Electrokinetics is the science of the physical phenomena appearing at the solid-liquid interface of dispersed particles subjected to external fields. Techniques based on electrokinetic phenomena constitute an important set of tools for the electrical characterization of colloids because of their sensitivity to the properties of particle-solution interfaces. Their rigorous description may require inclusion of the effects of finite size of chemical species in the theoretical models, and, particularly in the case of salt-free (no external salt added) aqueous colloids, also consideration of water dissociation and possible carbon dioxide contamination in the aqueous solution. A new ac electrokinetic model is presented for concentrated salt-free spherical colloids for arbitrary characteristics of the particles and aqueous solution, including finite-size effects of chemical species by appropriate modifications of the chemical reaction equations to include such non-ideal aspects. The numerical solution of the electrokinetic equations in an alternating electric field has also been carried out by using a realistic non-equilibrium scenario accounting for association-dissociation processes in the chemical reactions. The results demonstrate the importance of including finite-size effects in the electrokinetic response of the colloid, mainly at high frequencies of the electric field, and for highly charged colloids. Findings of previous models for pointlike ions or for ideal salt-free colloids including finite ion size effects are recovered with the present model, for the appropriate limiting conditions.
电动学是研究在外加场作用下分散颗粒固液界面出现的物理现象的科学。基于电动现象的技术因其对颗粒 - 溶液界面性质的敏感性,构成了用于胶体电学表征的重要工具集。对其进行严格描述可能需要在理论模型中考虑化学物种有限尺寸的影响,特别是在无盐(未添加外部盐)水性胶体的情况下,还需要考虑水溶液中的水电离和可能的二氧化碳污染。针对具有任意颗粒和水溶液特性的浓无盐球形胶体,提出了一种新的交流电动模型,通过适当修改化学反应方程以纳入此类非理想方面,从而考虑化学物种的有限尺寸效应。还通过使用考虑化学反应中缔合 - 解离过程的实际非平衡情景,对交变电场中的电动方程进行了数值求解。结果表明,在胶体的电动响应中纳入有限尺寸效应很重要,主要是在电场高频时以及对于高电荷胶体。在适当的极限条件下,本模型恢复了先前针对点状离子或包括有限离子尺寸效应的理想无盐胶体模型的研究结果。