Non-uniform localised distortions in generalised elasticity for liquid crystals
arXiv:2006.05530 · doi:10.1103/PhysRevE.102.042705
Abstract
We analyse a recent generalised free-energy for liquid crystals posited by Virga and falling in the class of quartic functionals in the spatial gradients of the nematic director. We review some known interesting solutions, i. e., uniform heliconical structures, and we find new liquid crystal configurations, which closely resemble some novel, experimentally detected, structures called Skyrmion tubes. These new configurations are characterised by a localised pattern given by the variation of the conical angle. We study the equilibrium differential equations and find numerical solutions and analytical approximations.
arXiv commentPublished Version
References in corpus (21)
- Nematic twist-bend phase with nanoscale modulation of molecular orientation
- A Twist-Bend Chiral Helix of 8nm Pitch in a Nematic Liquid Crystal of Achiral Molecular Dimers
- Electrically tunable selective reflection of light from ultraviolet to visible and infrared by heliconical cholesterics
- Statistical mechanics of bend flexoelectricity and the twist-bend phase in bent-core liquid crystals
- Two-dimensional skyrmions and other solitonic structures in confinement-frustrated chiral nematics
- Electrooptic response of chiral nematic with oblique helicoidal director
- Three-dimensional crystals of adaptive knots
- Interpretation of saddle-splay and the Oseen-Frank free energy in liquid crystals
- Order and Frustration in Chiral Liquid Crystals
- Hopf solitons in helical and conical backgrounds of chiral magnetic solids
- Skyrmions and clustering in light nuclei
- Elastic continuum theory: Fully understanding of the twist-bend nematic phases
- Modulated nematic structures induced by chirality and steric polarization
- Theory of Polar Blue Phases
- Theory of helicoids and skyrmions in confined cholesteric liquid crystals
- Landau theory for helical nematic phases
- Uniform distortions and generalized elasticity of liquid crystals
- Real-space observation of skyrmion clusters with mutually orthogonal skyrmion tubes
- Toggle-switch-like crossover between two types of isolated skyrmions within the conical phase of cubic helimagnets
- Helicoids in chiral liquid crystals under external fields
- Helical buckling of Skyrme-Faddeev solitons