RESEARCH NOTE Fluids in contact with periodic semipermeable walls: an integral equation approach

Abstract

A model of a two-component fluid in contact with a crystalline wall of a finite thickness permeable to particles of one kind is considered. The wall is built of vertices arranged on a two-dimensional (100) fcc lattice. Ornstein-Zernike integral equations with the Percus-Yevick (PY) and the hypernetted chain (HNC) closures are used to obtain the density profiles. The results of the theory are compared with Monte Carlo simulation data. The application of the singlet PY and HNC integral equations to the description of fluids in contact with structured membranes is limited to the region of moderate densities.