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Symmetric diblock copolymer thin films confined between homogeneous and patterned surfaces: Simulations and theory
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42.Strictly speaking, Eq. (21) only represents the hard surface confinement at the surfaces, but not near the surfaces. According to the assumptions that chain trajectories are perpendicular to the A–B interface and that chains terminate at the interfaces between adjacent lamellae, the corresponding boundary conditions for the lower hard surface should be and for the upper hard surface, We find that the solution using Eq. (21) may not satisfy the above equations in some regions in the case of relatively strong surface preference, for example, the case of and studied in Sec. III B 1 and in Ref. 19. In Fig. 6 such a region is shown by a thick dashed line. Note, however, that perpendicular lamellae are not actually preferred in this case. Therefore, this problem might be of little practical significance; the fixed boundary conditions Eq. (21) could be sufficient for the solution to satisfy the above equations when perpendicular lamellae are actually preferred.
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