We employ a simple model to describe the phase behavior of ${}^4\mathrm{He}$ and Ar in a hypothetical porous material consisting of a regular array of infinitely long, solid, parallel cylinders. We find that high porosity geometries exhibit two transitions: from vapor to film and from film to capillary condensed liquid. At low porosity, the film is replaced by a “necking” configuration, and for a range of intermediate porosity there are three transitions: from vapor to film, from film to necking and from necking to a capillary condensed phase.

• Received 21 February 2002

DOI:https://doi.org/10.1103/PhysRevE.65.061605