In this work, we investigate the effect of interdroplet interaction on the rheological behavior of oil-in-water emulsions within a range of macro- to nano-droplet sizes and various volume fractions from dilute to concentrated regimes. We determine the total interdroplet interaction from electrostatic, van der Waals, and depletion attraction contributions. At constant surfactant concentration, the depth of attractive potential is much higher than $k_{B}T$ for submicron emulsions and macroemulsions, whereas it is on the order of thermal energy for nanoemulsions. Thus, as the droplet size decreases in systems with considerable yield stress below jamming transition, the emulsions undergo a gel-to-glass transition. The yield strain ranges of gel and glassy systems overlap, although the droplets in gels undergo the dissipative rearrangement before macroscopic translational motion.

中文翻译：

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存在胶束耗​​竭吸引作用的大乳液和纳米乳液的流变学

在这项工作中，我们研究了液滴间相互作用对宏观到纳米液滴大小以及从稀溶液到浓缩溶液的各种体积分数范围内的水包油乳液流变行为的影响。我们通过静电，范德华力和耗尽吸引作用来确定总液滴间的相互作用。在恒定的表面活性剂浓度下，引力的深度远大于${ķ}_{乙}Ť$对于亚微米乳状液和大分子乳状液，它的热能约为纳米乳状液。因此，随着液滴尺寸减小，而系统的屈服应力低于堵塞过渡，则乳液发生凝胶-玻璃化转变。凝胶和玻璃状体系的屈服应变范围重叠，尽管凝胶中的液滴在宏观平移运动之前经历了耗散性重排。