Apollonian Packing in Polydisperse Emulsions

Autor:	Kwok, Sylvie, Botet, Robert, Sharpnack, Lewis, Cabane, Bernard
Rok vydání:	2019
Předmět:	Condensed Matter - Soft Condensed Matter Condensed Matter - Materials Science Physics - Chemical Physics
Zdroj:	Soft Matter, 2020,16, 2426-2430
Druh dokumentu:	Working Paper
DOI:	10.1039/C9SM01772K
Popis:	We have discovered the existence of 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. These polydisperse HIPE are formed during emulsification of surfactant-poor compositions of oil-surfactant-water two-phase systems. Their droplet size-distributions evolve spontaneously towards power laws with the Apollonian exponent. Small-Angle X-Ray Scattering performed on aged HIPEs demonstrated that the droplet packing structure coincided with that of a numerically simulated Random Apollonian Packing. We argue that these peculiar, space-filling assemblies are a result of coalescence and fragmentation processes obeying simple geometrical rules of conserving total volume and minimizing surface area. Comment: 5 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.07881 Zobrazit plný text záznamu View this record from Arxiv