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

Abstract

The influence of a periodic spatial forcing on the pattern formation in a generalized Cahn-Hilliard model is studied in order to describe the pattern formation in Langmuir-Blodgett transfer onto prestructured substrates. The occurring synchronization 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 new two dimensional patterns, including oblique and lattice patterns.

References in corpus (5)

• Analysis of a power grid using the Kuramoto-like model
• Formation of regular structures in the process of phase separation
• Emergence of the bifurcation structure of a Langmuir-Blodgett transfer model
• Controlled nanochannel lattice formation utilizing prepatterned substrates
• Traveling spatially periodic forcing of phase separation

Cited by in corpus (8)

• Classical dynamical density functional theory: from fundamentals to applications
• Modelling Pattern Formation in Dip-Coating Experiments
• Pattern formation in the wake of triggered pushed fronts
• Self-organised dip-coating patterns of simple, partially wetting, nonvolatile liquids
• Effects of time-periodic forcing in a Cahn-Hilliard model for Langmuir-Blodgett transfer
• Dip-coating with prestructured substrates: transfer of simple liquids and Langmuir-Blodgett monolayers
• Two-dimensional patterns in dip coating -- first steps on the continuation path
• Pattern Selection and Super-patterns in the Bounded Confidence Model