Capillary condensation transitions in a slab geometry

A simple model, previously used to explore wetting transitions, is evaluated for the case of a slab geometry in which adsorption occurs between two semi-infinite solids, with parallel faces separated by a distance L. The model yields a universal description of possible wetting and capillary condensation (CC) transitions. The system’s thermodynamic behavior is predicted from the values of two dimensionless parameters: [Formula Presented] (the reduced gas-surface interaction strength, a function of temperature) and [Formula Presented] (the reduced separation). If [Formula Presented] negligible adsorption occurs at all pressures below saturated vapor pressure (SVP). For somewhat larger values of [Formula Presented] CC occurs for sufficiently small [Formula Presented] close to SVP. For very large values of [Formula Presented] an additional prewetting transition (formation of a film) is predicted for large [Formula Presented] this is accompanied by a CC transition close to SVP. The model is generally consistent with limited results of density-functional calculations for the He liquids at zero temperature.