We present the results of a neutron reflectometry study of the kinetics of
penetration of a grafted polymer layer into a permanently cross-linked, che
mically identical network. The polymer used was polystyrene. Initially the
grafted chains are completely excluded from the network, and the interface
between them is sharp. The segment density profile was measured after a ser
ies of annealing times to follow the kinetics of penetration. The range of
annealing times was extended over 9 orders of magnitude by using time-tempe
rature superposition. We observe a slow approach to equilibrium, in good ag
reement with theory, which predicts this to be logarithmic in time. The kin
etics of penetration is slower for more densely cross-linked networks and f
or greater brush grafting densities. We also note a grafting density depend
ence of the equilibrium profile but, somewhat unexpectedly, no dependence o
n the density of cross-links.