Tailored Morphologies in 2D Ferronematic Wells

Abstract

We focus on a dilute uniform suspension of magnetic nanoparticles in a nematic-filled micron-sized shallow well with tangent boundary conditions, as a paradigm system with two coupled order parameters. This system exhibits spontaneous magnetization without magnetic fields. We numerically obtain the stable nematic and associated magnetization morphologies, induced purely by the geometry, boundary conditions and the coupling between the magnetic nanoparticles and the host nematic medium. Our most striking observations pertain to domain walls in the magnetization profile whose location can be manipulated by the coupling and material properties, and stable interior and boundary nematic defects, whose location and multiplicity can be tailored by the coupling too. These novel morphologies are not accessible in uncoupled systems and can be used for new multistable systems with singularities and stable interfaces.

arXiv comment8 pages, 4 figures

References in corpus (7)

• An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns
• Spontaneous Liquid Crystal and Ferromagnetic Ordering of Colloidal Magnetic Nanoplates
• Dynamic magneto-optic coupling in a ferromagnetic nematic liquid crystal
• Optical patterning of magnetic domains and defects in ferromagnetic liquid crystal colloids
• Dimension reduction for the Landau-de Gennes model on curved nematic thin films
• The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory
• Magnetic Nanoparticles in a Nematic Channel: A One-Dimensional Study

Cited by in corpus (6)

• Solution landscape of a reduced Landau-de Gennes model on a hexagon
• A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons
• Tailored Nematic and Magnetization Profiles on 2D Polygons
• Solution Landscapes of the Simplified Ericksen--Leslie Model and its Comparison with the Reduced Landau--de Gennes Model
• Symbiotic Dynamics in Living Liquid Crystals
• Modeling and Computation of Liquid Crystals