An extension of a self-consistent-field lattice theory is developed to
study the adsorption of polymers on energetically heterogeneous surfa
ces. Surface heterogeneity is modeled by introducing distinguishable s
urface sites which differ in their interaction energy with polymer seg
ments and solvent molecules. The probability for the polymer segments
to meet a given kind of site depends on the distribution of the surfac
e sites. In this paper, the adsorption behavior of polymers on a surfa
ce with adsorbing and nonadsorbing surface sites is studied. For homop
olymers, we find that for high chain length and adsorption energy the
adsorbed amount is higher on a surface with a random distribution of a
dsorbing surface sites as compared to a surface with a patchwise distr
ibution, i.e., where equal surface sites are grouped together. Block c
opolymers can segregate strongly on a patchwise distributed surface.