We consider the effect of slow relaxation processes in two models for irrev
ersible chemisorption which incorporate superlattice ordering of the adsorb
ed layer on a square lattice of adsorption sites. The first model involves
adsorption of monomers onto single empty sites, and we the second involves
dissociative adsorption of dimers onto diagonally adjacent empty sites, whe
re adsorption in both models occurs subject to the constraint that no adjac
ent pairs of occupied sites can be created. These adsorption processes prod
uce adlayers comprised of disordered 'checkerboard' or c(2 x 2) domains, ad
sorption continuing until a non-equilibrium 'jammed' state is reached where
no further space is available for adsorption. We focus on characterizing t
he evolution from this jammed state as a result of slow surface diffusion,
or slow desorption (or reaction) processes. These relaxation processes open
up further adsorption sites which are immediately filled in the presence o
f continued adsorption. In all cases, evolution involves Lifshitz-Cahn-Alle
n-type coarsening of the c(2 x 2) domains. (C) 2000 Elsevier Science B.V. A
ll rights reserved.