Department of Mathematics, National Institute of Technology Patna, Patna-800005, India.
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, West Bengal, India.
Phys Rev E. 2018 Aug;98(2-1):023103. doi: 10.1103/PhysRevE.98.023103.
A theoretical study on the electrophoresis of a soft particle made up of a charged hydrophobic inner core surrounded by polyelectrolyte layer (PEL) is made. The dielectric permittivity of the PEL and aqueous solution are considered to be different, which creates the ion partitioning effect. The ion partitioning effect, which is accounted by the Born energy difference, modifies the distribution of mobile ions in the PEL and hence alters the particle electrophoresis. The combined effects of core hydrophobicity and the ion partitioning effect on the mobility are determined based on the Debye-Huckel approximation under a thin Debye layer assumption. An analytic expression for the electrophoretic mobility taking into account the core hydrophobicity and ion partitioning effect is obtained. The occurrence of zero mobility and reversal of mobility of the soft particle is illustrated.
本文对由带电荷的疏水性内核和聚电解质层（PEL）组成的软颗粒电泳进行了理论研究。PEL 和水溶液的介电常数不同，这会产生离子分配效应。通过 Born 能量差来考虑离子分配效应，改变了 PEL 中可移动离子的分布，从而改变了颗粒电泳。基于薄 Debye 层假设下的 Debye-Huckel 近似，确定了核心疏水性和离子分配效应对迁移率的综合影响。得到了考虑核心疏水性和离子分配效应的电泳迁移率的解析表达式。说明了软颗粒的零迁移率和迁移率反转的发生。
