Adsorption and the structure of a hard sphere fluid in disordered quenchedmicroporous matrices of permeable species

We have studied the structure and adsorption of a hard sphere fluid in a ri gidly fixed array of permeable matrix species. The surface of each matrix p article is represented by a barrier of finite height and width, such that t he entire model describes partitioning of a fluid in a set of permeable mem branes. We have applied the grand canonical Monte Carlo (GCMC) simulations and replica Ornstein-Zernike (ROZ) equations for partly quenched systems co mplemented by the Percus-Yevick (PY) closure as our theoretical tools. The pair distribution functions of species and the adsorption isotherms are dis cussed dependent on the parameters of the model. It is shown that the theor y provides adequate description of the behaviour of fluid species in the in terior of the matrix particles, inside the barriers, and close to the inter face. On the other hand, the coordination numbers for a fluid in the matrix interior and the adsorption isotherms from the ROZ-PY theory are in excell ent agreement with computer simulation data.