Evolution equation for a disclination line located between the uniaxial and isotropic phases of a nematic liquid crystal

2009 ◽  
Vol 329 (1) ◽  
pp. 140-152 ◽  
Author(s):  
Oleg E. Shklyaev ◽  
Amy Q. Shen ◽  
Eliot Fried
Keyword(s):  
Liquid Crystal ◽  
Evolution Equation ◽  
Nematic Liquid Crystal ◽  
Disclination Line

scholarly journals Chirality-Biased Point Defects Dynamics on a Disclination Line in a Nematic Liquid Crystal

2005 ◽  
Vol 109 (19) ◽  
pp. 9712-9718 ◽  
Author(s):  
Andrzej Żywociński ◽  
Katarzyna Pawlak ◽  
Robert Hołyst ◽  
Patrick Oswald
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Point Defects ◽  
Disclination Line

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 Difference in the interaction of nano-diameter rod and tubular particles with a disclination line in a nematic liquid crystal

RSC Advances ◽  
2020 ◽  
Vol 10 (36) ◽  
pp. 21473-21480
Author(s):  
Meenu Murali ◽  
Hakam Agha ◽  
Aleš Mrzel ◽  
Giusy Scalia
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Disclination Line

The liquid crystal forces generated by nanowires and nanotubes are different due to their heterotopicity for the liquid crystal director.

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