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. 2018 Mar 21;115(14):3599–3604. doi: 10.1073/pnas.1716330115

Fig. 2.

Fig. 2.

Comparison of the model with experiments. (A) Droplets of different sizes create self-similar multiple emulsions (i–iii), except that one extra small droplet fits into the largest mother droplet (iii), simulated in iv. (B) The radial position of layers as a function of time reveals a stretched exponential rather than a diffusive (Epstein–Plesset theory) time course for the immiscibility front. (C) Layer spacing λi decreases toward the center of the droplets for all droplet sizes R in excellent agreement with the model. Rescaling the spacing by the layer radius Ri gives a constant ratio ρ, shown in the Inset, as a signature of self-similarity. (D) Consecutive radii of the layers collapse onto a straight line for all droplet sizes, whose slope gives the ratio of lengths ρ in C. (E) Adding ethanol to the continuous phase decreases Δce and gives rise to a finer spacing of the layers ρ. This effect is well captured by a linear correspondence with the leakage rate τc1 in the model, shown in the Inset.