The concentration profile of a symmetrical binary (AB) polymer mixture
confined between two 'neutral' repulsive walls is studied by Monte Ca
rlo simulation of the bond fluctuation model, using a chain length N =
N-A = N-B = 32 and a distance of D = 20 lattice spacings between the
walls. Choosing volume fractions and temperatures such that one stays
inside the coexistence curve, one has A-rich and B-rich domains coexis
ting with each other, in each kind of domain the minority component be
ing enriched at the surface. In contrast to simple Ising lattice gas m
odels of mixtures, the steepest gradient in the volume fraction profil
e does not occur right at the surface, but a few layers away from the
wall. Possible reasons for the observed flatness of this concentration
profile near walls (which agrees with recent experimental findings) a
re briefly discussed.