scholarly journals Length Bidisperse Carbon Nanotubes Dispersions in Thermotropic Liquid Crystals

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
V. Popa-Nita ◽  
S. Buček

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.

2017 ◽  
Vol 19 (25) ◽  
pp. 16456-16463 ◽  
Author(s):  
S. Tomylko ◽  
O. Yaroshchuk ◽  
O. Koval'chuk ◽  
N. Lebovka

Smeared electrical percolation transition in suspensions of carbon nanotubes in nematic liquid crystal was revealed. Four stages of structural evolution were identified.


2017 ◽  
Vol 13 (2) ◽  
pp. 4705-4717
Author(s):  
Zhang Qian ◽  
Zhou Xuan ◽  
Zhang Zhidong

Basing on Landau–de Gennes theory, this study investigated the chiral configurations of nematic liquid crystals confined to cylindrical capillaries with homeotropic anchoring on the cylinder walls. When the elastic anisotropy (L2/L1) is large enough, a new structure results from the convergence of two opposite escape directions of the heterochiral twist and escape radial (TER) configurations. The new defect presents when L2/L1≥7 and disappears when L2/L1<7. The new structure possesses a heterochiral hyperbolic defect at the center and two homochiral radial defects on both sides. The two radial defects show different chiralities.


2010 ◽  
Vol 20 (19) ◽  
pp. 3350-3357 ◽  
Author(s):  
Stefan Schymura ◽  
Martin Kühnast ◽  
Vanessa Lutz ◽  
Stefan Jagiella ◽  
Ursula Dettlaff-Weglikowska ◽  
...  

RSC Advances ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 4104-4111 ◽  
Author(s):  
Qi Wang ◽  
Liying Liu ◽  
Lei Xu

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


2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Jishan Fan ◽  
Tohru Ozawa

We study the hydrodynamic theory of liquid crystals. We prove a logarithmically improved regularity criterion for two simplified Ericksen-Leslie systems.


Crystals ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 648 ◽  
Author(s):  
Mamatha Nagaraj

Liquid crystal templating is a versatile technique to create novel organic and inorganic materials with nanoscale features. It exploits the self-assembled architectures of liquid crystal phases as scaffolds. This article focuses on some of the key developments in lyotropic and thermotropic liquid crystals templating. The procedures that were employed to create templated structures and the applications of these novel materials in various fields including mesoporous membranes, organic electronics, the synthesis of nanostructured materials and photonics, are described.


2019 ◽  
Vol 33 (26) ◽  
pp. 1950319
Author(s):  
Yan Li ◽  
Xiaobo Lu ◽  
Chunfeng Hou

In this paper, we study the twist of the nematic liquid crystal molecules under the applied electric field. The dynamic equation of the twisted molecules is derived. It is proved to be a kind of sine-Gordon (SG) equation. We obtain the breather solution of the equation and confirm that the deflection angles of the twisted molecules can distribute in the form of breathers. We give the relationship between the molecular deflection angle and the breather frequency, and discuss the effect of electric field on breather shape and breather frequency.


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