Dynamical properties of vulcanized polymer networks are addressed via
a Rouse-type model that incorporates the effect of permanent random cr
oss-links. The incoherent intermediate scattering function is computed
in the sol and gel phases, and at the vulcanization transition betwee
n them. At any nonzero cross-link density within the sol phase Kohlrau
sch relaxation is found. The critical point is signaled by divergence
of the longest time scale, and at this point the scattering function d
ecays algebraically, whereas within the gel phase it acquires a time-p
ersistent part identified with the gel fraction. [S0031-9007(97)04323-
8].