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arXiv 2202.04335cond-mat.soft
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电解质溶液中溶剂极化对带电软表面双电层的影响

Effect of solvent polarization on electric double layer of a charged soft surface in an electrolyte solution

Jun-Sik Sin, Nam-Hyok Kim, Chung-Sik Sin

摘要:

本文采用平均场方法,考虑非均匀尺寸效应和溶剂极化,研究了带电软表面附近的双电层。基于自由能模型,通过求解包括泊松方程在内的耦合微分方程,数值求解了水和离子的静电势和数密度。我们发现,溶剂的极化显着影响静电势,离子数密度和介电常数在带电的软表面附近的电解质溶液。我们证明了溶剂极化的考虑增加了唐南势的大小。我们还表明,在固定电荷层内的抗衡离子和共离子的数密度略小于溶剂极化时,不考虑。离子尺寸的增加增强了溶剂极化对带电软表面固定带电层内静电性质的影响。在高表面电荷密度区,由于水的极化作用,水偶极子的介电常数和数密度显著降低。

英文摘要:

We study the electric double layer near a charged soft surface by using a mean-field approach including non-uniform size effect and solvent polarization. Based on a free energy model, electrostatic potential and number densities of water and ions are obtained numerically by solving coupled differential equations including the Poisson's equation. We find that the solvent polarization significantly affects electrostatic potential, ion number densities and permittivity in an electrolyte solution near a charged soft surface. We prove that the consideration of the solvent polarization increases the magnitude of Donnan potential. We also demonstrate that within the fixed charge layer the number densities of counterions and coions are slightly smaller than when the solvent polarization is not considered. An increase in the ionic size enhances the influence of solvent polarization on the electrostatic properties within the fixed charged layer of charged soft surface. In the region of high surface-charge-density, the permittivity and the number density of water dipoles considerably decrease due to water polarization.

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