The thermodynamics of interacting homonuclear dimers adsorbed on homogeneou
s surfaces in-a monolayer regime is addressed. Dimer adsorption is describe
d in the framework of the lattice gas theory. Hypercubic lattices are used
as a model of homogeneous substrate in one and two dimensions. The effect o
f lateral interactions on the behavior of the adlayer is considered. The ad
sorption isotherm, energy of adsorption, differential heat of adsorption, a
nd configurational entropy are obtained by Monte Carlo simulations and comp
ared with analytical calculations. Particular attention is devoted to the t
wo-dimensional case with repulsive nearest neighbor lateral interactions in
the critical and subcritical regime. Different ordered phases are observed
and their relationship with the behavior of the thermodynamic functions of
the adsorbed monolayer is shown.