The kinetics of the formation of the interfacial width between immiscible p
olymer pairs are studied using neutron reflectivity. Bilayers of deuterated
polystyrene (d-PS) and poly(methyl methacrylate) of high molecular weight
are used. The time dependence of the formation of the interface in both cas
es where the thickness of the top d-PS layer is thin (less than 200 Angstro
m) and thick (greater than 1000 Angstrom) is investigated. Following an ini
tial rapid increase, a logarithmic dependence of the interfacial width on t
ime is observed. We interpret this result as arising fi om the slow equilib
ration of long-wavelength capillary-wave fluctuations; comparison of our re
sults with theory yields a value of the interfacial tension in good agreeme
nt with the self-consistent field theory prediction.