Erratum: Phenomenological approach to the problem of theK13surfacelike elastic term in the free energy of a nematic liquid crystal

1994 ◽  
Vol 49 (1) ◽  
pp. 934-934 ◽  
Author(s):  
V. M. Pergamenshchik
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Phenomenological Approach

scholarly journals Coupling free energy and surface anchoring mechanism in gold nanorod–nematic liquid crystal dispersions

RSC Advances ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 4104-4111 ◽  
Author(s):  
Qi Wang ◽  
Liying Liu ◽  
Lei Xu
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Gold Nanorod ◽  
Optical Birefringence ◽  
Surface Anchoring

Dependence of both the induced optical birefringence signals and simulated free energy ftotal with the pump H.

scholarly journals Nonisothermal nematic liquid crystal flows with the Ball–Majumdar free energy

2014 ◽  
Vol 194 (5) ◽  
pp. 1269-1299 ◽  
Author(s):  
Eduard Feireisl ◽  
Giulio Schimperna ◽  
Elisabetta Rocca ◽  
Arghir Zarnescu
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Nematic Liquid Crystal Flows

scholarly journals Length Bidisperse Carbon Nanotubes Dispersions in Thermotropic Liquid Crystals

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
V. Popa-Nita ◽  
S. Buček
Keyword(s):  
Carbon Nanotubes ◽  
Free Energy ◽  
Liquid Crystal ◽  
Liquid Crystals ◽  
Nematic Liquid Crystal ◽  
Volume Fraction ◽  
Coupling Term ◽  
Nematic Ordering ◽  
Thermotropic Liquid Crystals ◽  
Phase Ordering

We study nematic liquid crystal driven alignment of carbon nanotubes dispersed in them. We extend the mesoscopic model presented in (P. Van der Schoot et al. 2008, V. Popa-Nita, and S. Kralj 2010) including the effect of length bidispersity of carbon nanotubes. The free energy of the mixture is written as the sum of the Doi free energy for lyotropic nematic ordering of the two carbon nanotubes types, the Landau-de Gennes free energy for the thermotropic ordering of liquid crystal, and the coupling term between liquid crystal molecules and carbon nanotubes. The phase ordering of the mixtures is analyzed as a function of volume fraction, the strength of coupling, and the temperature.

DIRECTOR FIELD OF DISCLINATION LINE IN UNIAXIAL NEMATIC LIQUID CRYSTAL IN THE PRESENCE OF MAGNETIC FIELD

2011 ◽  
Vol 25 (01) ◽  
pp. 153-158
Author(s):  
ERFAN KADIVAR
Keyword(s):  
Magnetic Field ◽  
Free Energy ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Unit Length ◽  
Total Free Energy ◽  
Director Field ◽  
Disclination Line ◽  
Distortion Energy ◽  
Distance Limit

Using the Oseen–Zöcher–Frank theory, in the steady state, I study the distortion energy of a disclination line in nematic liquid crystal in the presence of an external magnetic field. The director field around a disclination line is exactly calculated by minimizing the total free energy. The behavior of total free energy as a function of magnetic field for two kinds of nematic material (positive and negative magnetic anisotropy) are discussed. In the short distance limit, the total free energy per unit length is calculated. In this case, the magnetic dependence of total free energy is discussed.

scholarly journals Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients

1996 ◽  
Vol 51 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
T. Gruhn ◽  
S. Hess
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Free Energy ◽  
Liquid Crystal ◽  
External Field ◽  
Boundary Conditions ◽  
Nematic Liquid Crystal ◽  
Director Field ◽  
Fixed Boundary ◽  
Elastic Coefficients

Abstract In this article, a Monte Carlo simulation is presented, which generates the equilibrium director field of a nematic liquid crystal under the influence of an external field and fixed boundary conditions. The liquid crystal is characterized by a set of directors on a spatially fixed lattice. The simulation is based on an expression for the Frank free energy with three elastic coefficients. The chosen discretisation conserves the nematic symmetry, which means n and - n are equivalent. The results for several Frederiks geometries with homogeneous and spatially modulated external fields are shown, as well as an investigation of a capillary with homeotropic boundary conditions. Further we compare our method with the Lebwohl-Lasher model and introduce an extension of the latter which distinguishes between splay-, twist-and bend-configurations.

Sign in / Sign up

Export Citation Format

Share Document