We review the current state of knowledge of phase separation and phase equi
libria in porous materials. Our emphasis is on fundamental studies of simpl
e fluids (composed of small, neutral molecules) and well-characterized mate
rials. While theoretical and molecular simulation studies an stressed, we a
lso survey experimental investigations that are fundamental in nature. Foll
owing a brief survey of the most useful theoretical and simulation methods,
we describe the nature of gas-liquid (capillary condensation), layering, l
iquid-liquid and freezing/melting transitions. In each case studies for sim
ple pore geometries, and also more complex ones where available, are discus
sed, While a reasonably good understanding is available for phase equilibri
a of pure adsorbates in simple pore geometries, there is a need to extend t
he models to more complex pore geometries that include effects of chemical
and geometrical heterogeneity and connectivity. In addition, with the excep
tion of liquid-liquid equilibria, little work has been done so far on phase
separation for mixtures in porous media.