| Abstract
| - We consider the problem of a diblock copolymer melt thin film on a striped surface. Becauseof the different surface energies, the different stripes have different preferences for each of the blocks,while the upper free surface may also prefer one of the blocks. As a result of a combination of factorssuch as the surface tensions and chain stretching, a number of morphologies may appear. We allow forperpendicular, parallel, and mixed type lamellae and study the resulting phase diagrams. These diagramsshould provide a crude guide for experimental studies on such systems. Our main conclusions are 2-fold.First the phase diagram is intricate and complicated. Second, to produce a single crystal oriented alongthe stripes, it is best to use thin films and a diblock lamellar size equal to or larger than the stripe width.
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