  A lattice model is used to study repulsive active particles at a planar
surface. A rejection-free Kinetic Monte Carlo method is employed to
characterize the wetting behaviour. The model predicts a mobility induced phase
separation of active particles, and the bulk coexistence of dense liquid-like
and dilute vapour-like steady states is determined. An "ensemble", with a
varying number of particles, analogous to a grand canonical ensemble in
equilibrium, is introduced. The formation and growth of the liquid film between
the solid surface and the vapour phase is investigated. For all of the
activities considered, the thickness of the adsorbed film exhibits a diverging
behaviour as the system is brought towards coexistence from the vapour side,
suggesting a complete wetting scenario along the full coexistence curve.
