Size-distribution of droplets in emulsions by statistical mechanics calculation

► This is a revisit of theoretical estimation of size-distributions of emulsions by statistical mechanics. ► The size distribution in equilibrium was localized both to the smallest and the largest droplets. ► The largest ones have a main contribution in the volume fraction. ► They are formed kinetically by competition of diffusion with gravitational convection. ► The concept is useful for emulsion polymerization, size-control of dispersed nanoparticles and ion transfer at oil|water interfaces.