油中水滴的自发充电和结晶
Spontaneous Charging and Crystallization of Water Droplets in Oil
摘要：
我们研究的自发充电和结晶的球形微米大小的水滴分散在油中的数值求解，在泊松-玻尔兹曼理论的几何形状的球形细胞，在系统中的阳离子和阴离子的密度分布。我们考虑到筛选，离子玻恩自能油和水之间的差异，并在两种介质中的离子分区。我们发现，液滴的表面电荷密度诱导的离子分区是显着的液滴曲率和液滴的有限密度的影响。我们还发现，盐的浓度和介电常数制度，其中预测的水滴的结晶相比，大大提高了基于平面油-水界面的结果，从而提高了与最近的实验定量一致。
英文摘要：
We study the spontaneous charging and the crystallization of spherical micron-sized water-droplets dispersed in oil by numerically solving, within a Poisson-Boltzmann theory in the geometry of a spherical cell, for the density profiles of the cations and anions in the system. We take into account screening, ionic Born self-energy differences between oil and water, and partitioning of ions over the two media. We find that the surface charge density of the droplet as induced by the ion partitioning is significantly affected by the droplet curvature and by the finite density of the droplets. We also find that the salt concentration and the dielectric constant regime in which crystallization of the water droplets is predicted is enhanced substantially compared to results based on the planar oil-water interface, thereby improving quantitative agreement with recent experiments.
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