On the tensor vs. the vector character of the director field in a nematic liquid crystal

1988 ◽  
Vol 150 (2) ◽  
pp. 299-309 ◽  
Author(s):  
G. Van Der Zwan
Langmuir ◽  
1995 ◽  
Vol 11 (12) ◽  
pp. 4838-4843 ◽  
Author(s):  
Shigeru Machida ◽  
Taeko I. Urano ◽  
Kenji Sano ◽  
Yasushi Kawata ◽  
Kazuyuki Sunohara ◽  
...  

2015 ◽  
Vol 18 (1) ◽  
pp. 147-166 ◽  
Author(s):  
Peder Aursand ◽  
Johanna Ridder

AbstractWe consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces.A numerical scheme for the model is proposed by extending a scheme for a related variational wave equation. Numerical experiments are performed studying the realignment of the director field when applying a voltage difference over the liquid crystal cell. In particular, we study how the relative strength of dissipative versus inertial forces influence the time scales of the transition between the initial configuration and the electrostatic equilibrium state.


2010 ◽  
Vol 37 (8) ◽  
pp. 257-261 ◽  
Author(s):  
E. A. Babayan ◽  
I. A. Budagovsky ◽  
A. S. Zolot’ko ◽  
M. P. Smayev ◽  
S. A. Shvetsov ◽  
...  

1995 ◽  
Vol 50 (11) ◽  
pp. 1023-1030 ◽  
Author(s):  
R. W. Ruhwandl ◽  
E. M. Terentjev

Abstract The flow of a liquid crystal around a body depends not only on the geometry of the body but also on the director field around it. For low-Ericksen number flows, the director distribution largely remains in its static equilibrium texture (along a uniform direction far away from the body and, for instance, perpendicular to its surface). We calculate the velocity and pressure of a cylinder in a nematic flow numerically, taking into account topological defects on the particle surface and find the drag force acting on the moving body. The drag force is, in general, non-central, i.e. not aligned with the direction of motion. The lift component of the drag force is a measure for the anisotropy of the system. We show that due to the realistic director texture the drag force is larger than previously thought and the anisotropy, FII/F^, smaller and decreasing while approaching the nematic clearing point.


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