Strong-segregation limit of the self-consistent field theory for diblock copolymer melts
Department of Mathematics, University of Reading, RG6 6AX, Whiteknights, Reading, UK
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Accepted: 20 October 2010
Published online: 25 November 2010
The self-consistent field theory (SCFT) introduced by Helfand for diblock copolymer melts is expected to converge to the strong-segregation theory (SST) of Semenov in the asymptotic limit, N ∞ . However, past extrapolations of the lamellar/cylinder and cylinder/sphere phase boundaries, within the standard unit-cell approximation, have cast some doubts on whether or not this is actually true. Here we push the comparison further by extending the SCFT calculations to N = 512000 , by accounting for exclusion zones in the coronae of the cylindrical and spherical unit cells, and by examining finite-segregation corrections to SST. In doing so, we provide the first compelling evidence that SCFT does indeed reduce to SST.
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010