A model of the capillary condensation process, i.e., of adsorption-des
orption isotherms, having only pore-pore interactions is constructed.
The. model yields (1) hysteretic isotherms, (2) invasion percolation o
n desorption and (3) hysteresis with discrete memory for interior chem
ical potential loops. All of these features are seen in experiment. Th
e model is compared to a model with no pore-pore interactions (the Pre
isach model) and iv a related model of interacting pore systems (the r
andom field Ising model). The capillary condensation model differs fro
m both.