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

Markus Wilczek and Svetlana V. Gurevich
Phys. Rev. E 90, 042926 – Published 29 October 2014
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Abstract

The influence of a periodic spatial forcing on the pattern formation in a generalized Cahn-Hilliard model describing Langmuir-Blodgett transfer is studied. The occurring locking effects enable a control mechanism for the pattern formation process. In the one-dimensional case the parameter range in which patterns are created is increased and the patterns' properties can be adjusted in a broader range. In two dimensions, one-dimensional stripe patterns can be destabilized, giving rise to a multitude of complex two-dimensional structures, including oblique and lattice patterns.

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  • Received 24 July 2014

DOI:https://doi.org/10.1103/PhysRevE.90.042926

©2014 American Physical Society

Authors & Affiliations

Markus Wilczek* and Svetlana V. Gurevich

  • Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Straße 9, 48149 Münster, Germany

  • *markuswilczek@uni-muenster.de

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Issue

Vol. 90, Iss. 4 — October 2014

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