论文标题
阿波罗尼亚乳液
Apollonian Emulsions
论文作者
论文摘要
我们发现存在极度多分散的高内相比率乳液（HIPE），其中内相液滴以95％的体积分数为95％，保持球形，并根据阿波罗尼亚包装规则在可用的空间中组织自己。在很少的表面活性剂存在下将油滴在水中，从而使它们在静止状态演化一周，从而获得了这种阿波罗尼亚乳液。液滴的填料结构通过尺寸分布测量结果确认，这些分布测量与已知的阿波罗尼亚指数自发地向功率定律演变，并比较通过小角X射线散射与数值模拟的随机apollonian包装相比，通过小角X射线散射测量的老化髋关节的结构因子。多亏了液滴的完美球形，即使在如此高的体积分数下，Apollonian乳液也会显示出牛顿OW。我们认为，球形液滴的这些引人入胜的空间填充组件是结合和碎片化过程的结果，这些过程遵守了保存总体积和球形的简单几何规则，从而最大程度地减少了与相邻液滴相互作用相关的弹性能量。
We have discovered the existence of extremely polydisperse High Internal-Phase-Ratio Emulsions (HIPE) in which the internal-phase droplets, present at 95% volume fraction, remain spherical and organize themselves in the available space according to Apollonian packing rules. Such Apollonian emulsions are obtained from dispersing oil dropwise in water in the presence of very little surfactant, and allowing them to evolve at rest for a week. The packing structure of the droplets was confirmed through size distribution measurements that evolved spontaneously towards power laws with the known Apollonian exponents, as well as comparison of the structure factors of aged HIPEs measured by Small-Angle X-ray Scattering with that of a numerically simulated Random Apollonian Packing. Thanks to the perfect sphericity of the droplets, Apollonian emulsions were found to display Newtonian ow even at such extremely high volume fraction. We argue that these fascinating space-filling assemblies of spherical droplets are a result of coalescence and fragmentation processes obeying simple geometrical rules of conserving total volume and sphericity, minimizing the elastic energy associated with interactions of neighbouring droplets.
