We use analytical arguments and numerical self-consistent field (SCF)
calculations to calculate the interfacial tension, gamma, for a system
of AB copolymers localized at the interface between two immiscible ho
mopolymers, A and B. In particular, we fix the molecular weights of th
e copolymers but vary their architecture from diblock, star, and vario
us comb copolymers. The results from both methods show that diblock co
polymers are the most efficient at reducing gamma. We also observe tha
t at fixed molecular weight (N), as the number of teeth (n) is increas
ed, the comb becomes significantly less efficient and the disparity be
tween combs and diblocks grows larger. However, when we compare combs
and diblocks with different molecular weights, we observe a trade-off
between N and n. In particular, long combs with multiple teeth are mor
e efficient than short diblocks. These studies allow us to predict the
reduction in interfacial tension produced by a wide variety of copoly
mers and thereby permit a rational design of effective compatibilizers
.