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We use a Ginzburg-Landau free energy functional to investigate diblockcopolymer morphologies when the copolymer melt interacts with one surface or isconfined between two chemically patterned surfaces. For temperatures above theorder-disorder transition a complete linear response description of thecopolymer melt is given, in terms of an arbitrary two-dimensional surfacepattern. The appearance of order in the direction parallel to the surface isfound as a result of the order in the perpendicular direction. Below theorder-disorder point and in a thin-film geometry, our procedure enables theanalytic calculation of distorted perpendicular and tilted lamellar phases inthe presence of uniform or modulated surface fields.Comment: 8 pages, 3 figures, to be published in Europhys. Let

Diblock copolymer ordering induced by patterned surfaces