scholarly journals Study of dopant influence on megnetic-field-induced Freedericksz transition of liquid crystal

2004 ◽  
Vol 53 (4) ◽  
pp. 1166
Author(s):  
Lin Zi-Yang ◽  
Xiang Ying ◽  
Li Tao
Keyword(s):  
Liquid Crystal ◽  
Freedericksz Transition ◽  
Fréedericksz Transition

scholarly journals Dynamics of a liquid crystal close to the Fréedericksz transition

2013 ◽  
Vol 104 (2) ◽  
pp. 26004 ◽  
Author(s):  
A. Caussarieu ◽  
A. Petrosyan ◽  
S. Ciliberto
Keyword(s):  
Liquid Crystal ◽  
Freedericksz Transition ◽  
Fréedericksz Transition

scholarly journals Electrically controllable liquid crystal random lasers below the Fréedericksz transition threshold

2011 ◽  
Vol 19 (3) ◽  
pp. 2391 ◽  
Author(s):  
Chia-Rong Lee ◽  
Jia-De Lin ◽  
Bo-Yuang Huang ◽  
Shih-Hung Lin ◽  
Ting-Shan Mo ◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Freedericksz Transition ◽  
Random Lasers ◽  
Fréedericksz Transition

Quanta Energy Level Structure and the First-Order Freedericksz Transition of Weak Anchoring NLC Cells

2010 ◽  
Vol 428-429 ◽  
pp. 402-405
Author(s):  
Rong Hua Guan
Keyword(s):  
Liquid Crystal ◽  
Energy Level ◽  
Energy Levels ◽  
Level Structure ◽  
Stable State ◽  
Freedericksz Transition ◽  
Energy Level Structure ◽  
First Order ◽  
Liquid Crystal System ◽  
Fréedericksz Transition

The energy problem of weak anchoring nematic liquid crystal (NLC) cell is investigated. For given system, there are four solutions satisfying mechanical equilibrium conditions simultaneity under certain condition. Liquid crystal system exist quanta energy level. The values and sequence of energy levels related to the change of external field and anchoring parameters. The state with the smallest energy is the stable state and the others are metastable states, which are separated by the energy barriers. The Freedericksz transition can be considered as the director slippage through these barriers to the lowest energy level and the first order transition and bistable state result from the existence of the multiple disturbed solutions.

scholarly journals Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions

2009 ◽  
Vol 20 (3) ◽  
pp. 269-287 ◽  
Author(s):  
FERNANDO P. DA COSTA ◽  
EUGENE C. GARTLAND ◽  
MICHAEL GRINFELD ◽  
JOÃO T. PINTO
Keyword(s):  
Magnetic Field ◽  
Liquid Crystal ◽  
Boundary Conditions ◽  
Nematic Liquid Crystal ◽  
Pitchfork Bifurcation ◽  
Critical Magnetic Field ◽  
Twist Boundary ◽  
Freedericksz Transition ◽  
Diamagnetic Anisotropy ◽  
Fréedericksz Transition

Motivated by a recent investigation of Millar and McKay [Director orientation of a twisted nematic under the influence of an in-plane magnetic field. Mol. Cryst. Liq. Cryst435, 277/[937]–286/[946] (2005)], we study the magnetic field twist-Fréedericksz transition for a nematic liquid crystal of positive diamagnetic anisotropy with strong anchoring and pre-twist boundary conditions. Despite the pre-twist, the system still possesses ℤ2 symmetry and a symmetry-breaking pitchfork bifurcation, which occurs at a critical magnetic-field strength that, as we prove, is above the threshold for the classical twist-Fréedericksz transition (which has no pre-twist). It was observed numerically by Millar and McKay that this instability occurs precisely at the point at which the ground-state solution loses its monotonicity (with respect to the position coordinate across the cell gap). We explain this surprising observation using a rigorous phase-space analysis.

Fréedericksz Transition in an Anticlinic Liquid Crystal

2000 ◽  
Vol 84 (18) ◽  
pp. 4140-4143 ◽  
Author(s):  
Shiyong Zhang ◽  
Bing Wen ◽  
S. S. Keast ◽  
M. E. Neubert ◽  
P. L. Taylor ◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Freedericksz Transition ◽  
Fréedericksz Transition
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