Dn. Petsev et P. Linse, STATISTICAL-MECHANICAL PROPERTIES OF DENSE EMULSIONS AND MICROEMULSIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(1), 1997, pp. 586-591
The impact of droplet deformability on the macroscopic properties of e
mulsions and microemulsions is studied. The deformation energy at the
pair level is utilized in the Percus-Yevick closure for solving the Or
nstein-Zernike equation. Thus the radial distribution functions and st
ructure factors for deformable droplets are calculated and compared wi
th the respective hard sphere results to reveal the effect of the defo
rmation. The variation of the osmotic pressure with the droplet volume
fraction for the same systems is obtained by the Percus-Yevick integr
al equation method. It is shown that the droplet deformability may lea
d to a considerable reduction of the osmotic pressure of emulsions and
microemulsions. A semiempirical equation of state based on modifying
the Carnahan-Starling expression is suggested and compared to the Perc
us-Yevick results.