Recent progress in the study and understanding of the properties of interfa
ces between reactants in irreversible reaction systems, gained from Monte C
arlo simulations, is reviewed and discussed. The displacement of unstable p
hases by stable ones causes the formation of interfaces. This mechanism is
particularly relevant close to first-order irreversible phase transitions,
where phase coexistence is observed. Different variants of the monomer-momo
mer and the monomer-dimer models exhibit such transitions, and they are the
refore suitable for the study of interfacial properties. More specifically,
due to stimulating experimental findings, the monomer-dimer model, which m
imics the catalytic oxidation of carbon monoxide, has been the subject of e
xtensive studies, which are discussed in detail.