Director configuration of planar solitons in nematic liquid crystals
Henryk Arodz, Joachim Stelzer
Abstract
The director configuration of disclination lines in nematic liquid crystals in the presence of an external magnetic field is evaluated. Our method is a combination of a polynomial expansion for the director and of further analytical approximations which are tested against a numerical shooting method. The results are particularly simple when the elastic constants are equal, but we discuss the general case of elastic anisotropy. The director field is continuous everywhere apart from a straight line segment whose length depends on the value of the magnetic field. This indicates the possibility of an elongated defect core for disclination lines in nematics due to an external magnetic field.
Create a lesson
Related papers
Multi-Fidelity Machine Learning for Predicting Startup Stress Growth and Strain Hardening in Wormlike Micellar Solutions
Saghar Zolfaghari, Nunzia Lauriello, Ilaria Cusano et al.
Non-equilibrium orientational dynamics of pinned topological defects in two-dimensional nematic liquid crystals
Petur Bryde, Jörn Dunkel
Thermodynamically consistent thixotropic viscoelastic modeling of human blood from a conformational free energy
Thomas Martinod, Andrés Córdoba, Jay D. Schieber
Effect of Small Particle Interactions on Assembly of Binary Colloidal Clusters
Dillip Kumar Mohapatra, Teun W. J. Verouden, Bos Everhardus Sprik et al.
Stationary distribution of active Brownian particles in a bounded domain
Alexandra Tzella, Daniel Loghin, David J. Needham et al.
Polarity-Programmed Topological Gating of Knotting in Spatially Patterned Active Polymers
Shiqi Zhou