Mahata Asim, Pal Sanjib Kumar, Ohshima Hiroyuki, Gopmandal Partha P
Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India.
Faculty of Pharmaceutical Sciences, Tokyo University of Science, Noda, Chiba, Japan.
Electrophoresis. 2024 Sep 17. doi: 10.1002/elps.202400143.
This article deals with the electrophoresis of hydrophobic colloids absorbed by a layer of polymers with an exponential distribution of the polymer segments. The functional groups present in the polymer layer further follow the exponential distribution. We made an extensive mathematical study of the electrophoresis of such core-shell structured soft particles considering the combined impact of heterogeneity in polymer segment distribution, ion steric effect, and hydrodynamic slippage of the inner core. The mathematical model is based on the flat-plate formalism and deduced numerical results for electrophoretic mobility are valid for weak to highly charged particles for which the particle size well exceeds the Debye-layer thickness. In addition, we have derived closed form analytical results for electrophoretic mobility of the particle under several electrohydrodynamic limits. We have further illustrated the results for electrophoretic mobility considering a charged and hydrophobic inner core coated with an uncharged polymer layer or a polymer layer that entraps either positive or negatively charged functional groups. The impact of pertinent parameters on the overall electrophoretic motion is further illustrated.
本文研究了被聚合物链段呈指数分布的聚合物层吸附的疏水性胶体的电泳现象。聚合物层中存在的官能团也呈指数分布。考虑到聚合物链段分布的不均匀性、离子空间效应和内核的流体动力滑移的综合影响，我们对这种核壳结构软颗粒的电泳进行了广泛的数学研究。该数学模型基于平板形式，推导得到的电泳迁移率数值结果对于粒径远超过德拜层厚度的弱带电至强带电颗粒是有效的。此外，我们还推导了在几种电流体动力学极限下颗粒电泳迁移率的封闭形式解析结果。我们进一步阐述了考虑带电荷且疏水的内核被不带电的聚合物层包覆，或被包含正电荷或负电荷官能团的聚合物层包覆时的电泳迁移率结果。还进一步说明了相关参数对整体电泳运动的影响。
