Abstract
The complicated density profiles exhibited by compressible binary polymer blends near patterned surfaces in the one-phase region are studied employing the analytic density functional-self-consistent field theory. The density patterns are explained on the basis of the competing influences of the correlation lengths for composition and density fluctuations, the pattern spacing, and the interfacial density profiles at abrupt changes in the surface interaction. The length scale for the in-plane interfacial profiles is determined primarily by the correlation length for composition fluctuations, with the correlation length for density fluctuations exerting rather a small influence. However, the magnitude of the surface segregation depends on both correlation lengths, the pattern dimensions, and the surface–polymer potentials.
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