scholarly journals Numerical approximations for a smectic-A liquid crystal flow model: First-order, linear, decoupled and energy stable schemes

2018 ◽  
Vol 23 (6) ◽  
pp. 2177-2192 ◽  
Author(s):  
Qiumei Huang ◽  
◽  
Xiaofeng Yang ◽  
Xiaoming He ◽  
◽  
...  
1983 ◽  
Vol 38 (7) ◽  
pp. 762-764 ◽  
Author(s):  
L. V. Choudary ◽  
J. V. Rao ◽  
P. N. Murty ◽  
C. R. K. Murty

Abstract Specific volume and ultrasonic velocity measurements have been carried out on the liquid crystal N-(p-n-hexyloxybenzylidene)-p-n-butylaniline in the isotropic, nematic, smectic A, smectic B and smectic G phases. The variation of the specific volume with temperature shows that the corresponding transitions are of first order. Thermal expansion coefficients have been calculated for all the mesophases. The ultrasonic velocity variation with temperature confirms the transitions.


2020 ◽  
Vol 19 (7) ◽  
pp. 3805-3827
Author(s):  
Xiuqing Wang ◽  
◽  
Yuming Qin ◽  
Alain Miranville ◽  
◽  
...  

Author(s):  
K.J. Ihn ◽  
R. Pindak ◽  
J. A. N. Zasadzinski

A new liquid crystal (called the smectic-A* phase) that combines cholesteric twist and smectic layering was a surprise as smectic phases preclude twist distortions. However, the twist grain boundary (TGB) model of Renn and Lubensky predicted a defect-mediated smectic phase that incorporates cholesteric twist by a lattice of screw dislocations. The TGB model for the liquid crystal analog of the Abrikosov phase of superconductors consists of regularly spaced grain boundaries of screw dislocations, parallel to each other within the grain boundary, but rotated by a fixed angle with respect to adjacent grain boundaries. The dislocations divide the layers into blocks which rotate by a discrete amount, Δθ, given by the ratio of the layer spacing, d, to the distance between grain boundaries, lb; Δθ ≈ d/lb (Fig. 1).


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