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FL Roman

Publications and source records attributed to FL Roman.

2 recordsLinked to original sources

Density-functional theory of inhomogeneous fluids in the canonical ensemble

We present a density-functional approach for dealing with inhomogeneous fluids in the canonical ensemble. A general relation is proposed between the free-energy functionals in the canonical and the grand canonical ensembles. The minimization of the canonical-ensemble free-energy functional gives rise to Euler-Lagrange equations which involve averaged Ornstein-Zernike equations of second and third order. The theory is especially appropriate for systems with a small, fixed number of particles. As an example of application we obtain accurate results for the density profile of a hard-sphere fluid in a closed spherical cavity that contains only a few particles.

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Colloidal particles in emulsions

We propose a statistical mechanical model for colloidal particles suspended in an emulsion of liquid droplets. The particles are modeled as hard spheres. The interaction between droplets is also hard, but the particles are able to penetrate the droplets. A swelling of droplets is taken into account to ensure material conservation of the droplet liquid. Hence the presence of the colloids generates droplet polydispersity. Using computer simulation and liquid state theory, we find that the relative polydispersity exhibits nonmonotonic behavior as a function of the particle packing fraction and can be traced back to hard sphere bulk density fluctuations.

Journal Article↗