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Isaac Newton Institute for Mathematical Sciences

Pattern formation in Cahn-Hilliard models for Langmuir-Blodgett transfer

Presenter: Markus Wilczek (Institute for Theoretical Physics, University of Münster)

Co-authors: Svetlana V. Gurevich (Institute for Theoretical Physics, University of Münster), Rudolf Friedrich (Institute for Theoretical Physics, University of Münster)

Abstract

Langmuir-Blodgett transfer is an established method for covering substrates with monomolecular layers of lipids. During the transfer, partial condensation of the monolayer can lead to the formation of patterns in different phases of the transferred monolayer. Experimental parameters like the transfer velocity influence the properties of the pattern, like the orientation and wavelength of stripes. In this work, we investigate the pattern formation process in the framework of spinodal decomposition by means of Cahn-Hilliard models. Besides the transfer onto homogeneous substrates, the influence of prestructured substrates is studied. In particular, the occurrence of synchronization phenomena is described. In addition, the transition between different orientations of stripe patterns is investigated using linear stability analysis techniques, revealing the occurrence of secondary instabilities leading to certain patterns.