Statistical mechanics of bend flexoelectricity and the twist-bend phase in bent-core liquid crystals
arXiv:1302.5948 · doi:10.1103/PhysRevE.87.052503
Abstract
We develop a Landau theory for bend flexoelectricity in liquid crystals of bent-core molecules. In the nematic phase of the model, the bend flexoelectric coefficient increases as we reduce the temperature toward the nematic to polar phase transition. At this critical point, there is a second order transition from high-temperature uniform nematic phase to low-temperature nonuniform polar phase composed of twist-bend or splay-bend deformations. To test the predictions of Landau theory, we perform Monte Carlo simulations to find the director and polarization configurations as functions of temperature, applied electric field, and interaction parameters.
arXiv comment12 pages, including 12 postscript figures, uses REVTeX 4.1
References in corpus (4)
Cited by in corpus (53)
- Nematic twist-bend phase with nanoscale modulation of molecular orientation
- Ferroelectric-ferroelastic phase transition in a nematic liquid crystal
- Twist-bend heliconical chiral nematic liquid crystal phase of an achiral rigid bent-core mesogen
- Ferroelectric nematic liquid crystalline phases
- Electrooptic response of chiral nematic with oblique helicoidal director
- Twist-bend nematic liquid crystals in high magnetic fields
- Multi-level Chirality in Liquid Crystals Formed by Achiral Molecules
- Electrooptics of mm-scale polar domains in the ferroelectric splay nematic phase
- Elastic and viscous properties of nematic dimer CB7CB
- Splay nematic phase
- A Molecular Theory of the Nematic-Nematic Phase Transitions in Mesogenic Dimers
- Director Deformations, Geometric Frustration, and Modulated Phases in Liquid Crystals
- Elastic continuum theory: Fully understanding of the twist-bend nematic phases
- Modulated nematic structures induced by chirality and steric polarization
- Theory of the splay nematic phase: Single vs. double splay
- Theory of Polar Blue Phases
- Nematic twist--bend phase in an external field
- Landau theory for helical nematic phases
- Polarisation-driven magneto-optical and nonlinear-optical behaviour of a room-temperature ferroelectric nematic phase
- Nature of nematic to twist bend nematic phase transition
- Electric field distortions in structures of the twist bend nematic (NTB) phase of a bent-core liquid crystal
- The Twist Bend Nematic: A Case of Mistaken Identity
- Q-tensor model of twist-bend and splay nematic phases
- Twist-bend nematic phases of bent-shaped biaxial molecules
- Comparative analysis of anisotropic material properties of uniaxial nematics formed by flexible dimers and rod-like monomers
- Uniform distortions and generalized elasticity of liquid crystals
- Fluctuation modes of a twist-bend nematic liquid crystal
- Twist-bend nematic phase from Landau-de Gennes perspective
- Characterization of the sub-micrometer hierarchy levels in the twist-bend nematic phase with nanometric helices via photopolymerization. Explanation for the sign reversal in the polar response
- Mechanisms to Splay-Bend Nematic Phases
- Probing Molecular Ordering in the Nematic Phases of para-Linked Bimesogen Dimers through NMR Studies of Flexible Prochiral Solutes
- Soft modes of the dielectric response in the twist-bend nematic phase and identification of the transition to nematic splay bend phase in the dimer CBC7CB
- Phase ordering of zig-zag and bow-shaped hard needles in two dimensions
- Second harmonic light scattering induced by defects in the twist-bend nematic phase of liquid crystal dimers
- Intrinsic Geometry and Director Reconstruction for Three-Dimensional Liquid Crystals
- Liquid Crystal Distortions Revealed by an Octupolar Tensor
- In silico study of liquid crystalline phases formed by bent-shaped molecules with excluded-volume type interactions
- Light scattering study of the "pseudo-layer" compression elastic constant in a twist-bend nematic liquid crystal
- Geometry of Bend: Singular Lines and Defects in Twist-Bend Nematics
- Violation of Ericksen inequalities in lyotropic chromonic liquid crystals
- Splay-bend elastic inequalities shape tactoids, toroids, umbilics, and conic section walls in paraelectric, twist-bend, and ferroelectric nematics
- Modulated phases of nematic liquid crystals induced by tetrahedral order
- Dipole-dipole correlations in the nematic phases of symmetric cyanobiphenyl dimers and their binary mixtures with 5CB
- Gnomonious Projections for Bend-Free Textures: Thoughts on the Splay-Twist Phase
- Theoretical Remarks on Cybotactic Clusters of Bent-Core Nematic Liquid Crystals in 1D Settings
- Orientational Order in the Nematic and Heliconical Nematic Liquid Crystals
- Skyrmion Tubes in achiral nematic liquid crystals
- Non-uniform localised distortions in generalised elasticity for liquid crystals
- Banana and pizza-slice-shaped mesogens give a new constrained ferromagnet universality class
- Nematic twist-bend phase of a bent liquid crystal dimer: field-induced deformations of the helical structure, macroscopic polarization and fast switching speeds
- Non-Newtonian rheology in twist-bend nematic liquid crystals
- Properties of the Broad-Range Nematic Phase of a Laterally Linked H-Shaped Liquid Crystal Dimer
- Confinement Reveals Hidden Splay-Bend Order in Twist-Bend Nematics