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The influence of a periodic spatial forcing on the pattern formation in ageneralized Cahn-Hilliard model is studied in order to describe the patternformation in Langmuir-Blodgett transfer onto prestructured substrates. Theoccurring synchronization effects enable a control mechanism for the patternformation process. In the one dimensional case the parameter range in whichpatterns are created is increased and the patterns' properties can be adjustedin a broader range. In two dimensions, one dimensional stripe patterns can bedestabilized, giving rise to a multitude of new two dimensional patterns,including oblique and lattice patterns.

Locking of periodic patterns in Cahn-Hilliard models for Langmuir-Blodgett transfer