The localized monolayer adsorption of interacting homonuclear dimers (
AA) on square lattices is studied using a lattice-gas model. The effec
t of lateral interactions on the behavior of different thermodynamic q
uantities is considered. Phase diagrams (i.e. critical temperature ver
sus coverage are calculated using Monte Carlo simulation and finite-si
ze scaling for both attractive and repulsive nearest-neighbors lateral
interactions. Of special interest is the repulsive case where differe
nt ordered structures are observed, confirming the results given by Ph
ares et al. [J. Phys. A: Math. Gen. 26 (1993) 6847] based upon exact t
ransfer-matrix method For dimers on a semi-infinite square lattice. (C
) 1998 Elsevier Science B.V. All rights reserved.