Generalized Dispersion Model of Orientationally Ordered Phases of Bent–Core Liquid Crystals

2011 ◽  
Vol 541 (1) ◽  
pp. 152/[390]-158/[396] ◽  
Author(s):  
L. Longa ◽  
G. Pająk
2021 ◽  
Vol 29 (19) ◽  
pp. 30520
Author(s):  
Wending Mai ◽  
Sawyer D. Campbell ◽  
Douglas H. Werner

2011 ◽  
Vol 1293 ◽  
Author(s):  
I. C. Khoo ◽  
J. Huang ◽  
S. Zhou ◽  
J. Liou ◽  
K. L. Hong ◽  
...  

ABSTRACTWe present the results and critical analyses of recent studies of ultrafast optical nonlinearities of liquid crystals in the isotropic and ordered phases for time scales spanning femtoseconds – microseconds. Pure undoped liquid crystals as well as liquid crystals containing plasmonic nano-particles have been investigated. Individual molecular electronic optical nonlinearities are found to be useful for femtoseconds – nanoseconds nonlinear transmission clamping applications. On the other hand, laser induced order parameter and birefringence modification in aligned nematic cells allow very rapid transmission switching of visible as well as near infrared lasers with response times in the sub-microseconds - few nanoseconds regime.


2017 ◽  
Vol 62 (2) ◽  
pp. 215 ◽  
Author(s):  
Ashis Kumar Roy ◽  
Apu Kumar Saha ◽  
Sudip Debnath

This study aims to examine the  dispersion of a passive contaminant of solute released  in Casson liquid flow through a tube. The wall of the tube is taken to be chemically active where the flow is driven by the constant pressure gradient. To evaluate the transport coefficients, Aris-Barton’s Moment technique is considered, a finite difference implicit scheme is adopted to handle the differential equation arises in moment methodology. Also to confirm the results obtained by Aris-Barton’s method,  the generalized dispersion model has been applied. Unlike the previous studies on dispersion in Casson liquid, the time-dependent behavior of the transport coefficients has been established. Some significant observations have been founded, e.g. exchange coefficient is independent of yield stress while the convection coefficient and dispersion coefficient are inversely proportional to yield stress. Results reveal that transport coefficients are enormously affected by wall absorption.


2001 ◽  
Vol 15 (22) ◽  
pp. 2945-2976 ◽  
Author(s):  
D. E. FELDMAN

We consider glass states of several disordered systems: vortices in impure superconductors, amorphous magnets, and nematic liquid crystals in random porous media. All these systems can be described by the random-field or random-anisotropy O(N) model. Even arbitrarily weak disorder destroys long range order in the O(N) model. We demonstrate that at weak disorder and low temperatures quasi-long range order emerges. In quasi-long-range-ordered phases the correlation length is infinite and correlation functions obey power dependencies on the distance. In pure systems quasi-long range order is possible only in the lower critical dimension and only in the case of Abelian symmetry. In the presence of disorder this type of ordering turns out to be more common. It exists in a range of dimensions and is not prohibited by non-Abelian symmetries.


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