Locking of periodic patterns in Cahn-Hilliard models for Langmuir-Blodgett transfer.
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.
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Straße 9, 48149 Münster, Germany.
Markus
M
Wilczek
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Straße 9, 48149 Münster, Germany.
Svetlana V
SV
Gurevich
D008962:Models, Theoretical; D010507:Periodicity; D013501:Surface-Active Agents / Q000737:chemistry; D014867:Water / Q000737:chemistry
D013501:Surface-Active Agents; D014867:Water