Crossover between entropic and interfacial elasticity and osmotic pressure in uniform disordered emulsions

作者: Thomas G. Mason , Frank Scheffold

DOI: 10.1039/C4SM01125B

关键词: Microscale chemistryHard spheresCrossoverSPHERESEmulsion dropletMaterials scienceShear modulusThermodynamicsSurface tensionOsmotic pressure

摘要: We develop a simple predictive model of the osmotic pressure Π and linear shear elastic modulus G′p uniform disordered emulsions that includes energetic contributions from entropy interfacial deformation. This yields smooth crossover between an entropically dominated ∼ kBT/a3 for droplet volume fractions ϕ below jamming threshold spheres, ϕc, interfacially σ/a above where σ are undeformed radius tension, respectively, T is temperature. show this reduces to known ϕ-dependent behavior G′p(ϕ) (σ/a)ϕ(ϕ − ϕc) as → 0 > ϕc emulsions, it also produces divergence hard spheres (kBT/a3)ϕ/(ϕc ϕ) < when ∞. compare predictions data microscale emulsion droplets, corrected electrostatic repulsions. The captures observed trends in better than existing analytic models which do not make ϕc. Moreover, predicts entropic can become more significant nanoemulsions compared emulsions.

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