We use Monte Carlo methods to study a self-avoiding walk model of copolymer
s, with a periodic sequence of comonomers, adsorbing at a planar surface. T
he monomers are of two types, A and B, and only A monomers interact with th
e surface. We investigate how the location of the adsorption transition dep
ends on the comonomer sequence and make comparisons with some rigorous resu
lts. We also investigate a directed-walk model (in two dimensions) and show
that this model can be used to give insight into the behaviour of the more
natural self-avoiding-walk model.