scholarly journals Cusp Catastrophe Model for Description of Bistability in Ferroelectric Liquid Crystals

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Nail Migranov ◽  
Aleksey Kudreyko ◽  
Denis Kondratyev
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Theoretical Approach ◽  
Catastrophe Theory ◽  
Azimuthal Angle ◽  
Cusp Catastrophe ◽  
Ferroelectric Liquid Crystal ◽  
Ferroelectric Liquid Crystals ◽  
Catastrophe Model ◽  
Cusp Catastrophe Model

We propose a new theoretical approach for description of the equilibrium and bistable states of ferroelectric liquid crystal. A sample of ferroelectric liquid crystal is considered in the “bookshelf” geometry under the influence of electric field. Continuum and perturbation theories are used in order to establish the relation between the scale coefficients in the expansion for the azimuthal angle. The equilibrium states of ferroelectric SmC* are determined in the framework of the catastrophe theory.

scholarly journals The concept of biaxial surface potential and polymer aligning layers in electro-optical cells based on helical nanostructures of ferroelectric liquid crystal

2021 ◽  
Vol 2056 (1) ◽  
pp. 012044
Author(s):  
T P Tkachenko ◽  
A A Zhukov ◽  
E P Pozhidaev
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Surface Potential ◽  
Ferroelectric Liquid Crystal ◽  
Alignment Quality ◽  
Ferroelectric Liquid Crystals ◽  
Helical Pitch

Abstract The paper considers the possibility of controlling the alignment quality of helical nanostructures of ferroelectric liquid crystals (FLCs) within the concept of biaxial surface potential due to variation the FLCs helical pitch p0 and polymer aligning layers structures.

Microphase-Stabilized Ferroelectric Liquid Crystals (MSFLC):  Bistable Switching of Ferroelectric Liquid Crystal−Coil Diblock Copolymers

1998 ◽  
Vol 10 (6) ◽  
pp. 1538-1545 ◽  
Author(s):  
Guoping Mao ◽  
Jianguo Wang ◽  
Christopher K. Ober ◽  
Martin Brehmer ◽  
Mary Jane O'Rourk ◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Diblock Copolymers ◽  
Ferroelectric Liquid Crystal ◽  
Ferroelectric Liquid Crystals ◽  
Bistable Switching

Study on the Slope Stability Based on Catastrophe Theory

2011 ◽  
Vol 261-263 ◽  
pp. 1489-1493 ◽  
Author(s):  
Jun Zheng He ◽  
Ke Qiang He ◽  
Yong Shan Yan ◽  
Wei Hao
Keyword(s):  
Catastrophe Theory ◽  
Slope Failure ◽  
Yield Criterion ◽  
Control Variable ◽  
Reduction Factor ◽  
Cusp Catastrophe ◽  
Strength Reduction Factor ◽  
Catastrophe Model ◽  
Cusp Catastrophe Model ◽  
Vertical Displacements

Based on the Drucker-Prager yield criterion which matches with the Mohr-Coulomb yield criterion under the plane strain condition, this paper sets up a cusp catastrophe model of maximum horizontal and vertical displacements to strength reduction factor by using the cusp catastrophe theory. And the catastrophe criterion of slope failure is quantified to the control variable (u) and discriminant (△) which are evaluated by comparing with zero. Taking the above study as the foundation, the cusp catastrophe model is applied to solve one of the standard test ACADS examples. On the two criterions for slope failure of horizontal and vertical displacements catastrophe model, the safety factor of the slope is 0.988 which is consistent with those by ACAS. It shows that the cusp catastrophe model in slope failure analysis is feasible and practical.

scholarly journals Catastrophe models and the expansion method: A review of issues and an application to the econometric modeling of economic growth

1997 ◽  
Vol 1 (3) ◽  
pp. 185-202 ◽  
Author(s):  
Emilio Casetti
Keyword(s):  
Social Sciences ◽  
Economic Growth ◽  
Catastrophe Theory ◽  
Expansion Method ◽  
Cusp Catastrophe ◽  
Econometric Modeling ◽  
Catastrophe Model ◽  
Cusp Catastrophe Model ◽  
The Social ◽  
Catastrophe Models

Many negative reactions to Catastrophe Theory have been triggered by overly simplistic applications unintended and unsuited for statistical-econometric estimation, inference, and testing. In this paper it is argued that stochastic catastrophe models constructed using the Expansion Method hold the most promise to widen the acceptance of Catastrophe Theory by analytically oriented scholars in the social sciences and elsewhere. The paper presents a typology of catastrophe models, and demonstrates the construction and estimation of an econometric expanded cusp catastrophe model of economic growth.

Application of Cusp Catastrophe Model to Predicting of Water Inrush from Mine Floor

2012 ◽  
Vol 446-449 ◽  
pp. 1546-1550
Author(s):  
Chun Lei Zhang ◽  
Guo Sheng Zhong
Keyword(s):  
Numerical Simulation ◽  
Catastrophe Theory ◽  
Mechanical Model ◽  
Water Inrush ◽  
Cusp Catastrophe ◽  
Theory Analysis ◽  
Catastrophe Model ◽  
Key Stratum ◽  
Cusp Catastrophe Model ◽  
Mine Floor

Based on cusp catastrophe characteristics of water inrush from floor, a cusp catastrophic mechanical model of a key stratum of floor is established by catastrophe theory. By the model, the paper analyzes mechanical mechanism of water inrush from key stratum of floor with the cusp catastrophic theory. Using an engineering example, the numerical simulation proves that this method of the theory analysis is practical.

scholarly journals Photo-Aligned Ferroelectric Liquid Crystal Devices with Novel Electro-Optic Characteristics

Crystals ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 563
Author(s):  
Vladimir Chigrinov ◽  
Qi Guo ◽  
Aleksey Kudreyko
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Berry Phase ◽  
Photonic Devices ◽  
Ferroelectric Liquid Crystal ◽  
Optical Elements ◽  
Ferroelectric Liquid Crystals ◽  
Liquid Crystal Devices ◽  
Alignment Technique ◽  
Photo Alignment

This paper examines different applications of ferroelectric liquid crystal devices based on photo-alignment. Successful application of the photo-alignment technique is considered to be a critical breakthrough. A variety of display and photonic devices with azo dye aligned ferroelectric liquid crystals is presented: smart glasses, liquid crystal Pancharatnam–Berry phase optical elements, 2D/3D switchable lenses, and laser therapy devices. Comparison of electro-optical behavior of ferroelectric liquid crystals is described considering the performance of devices. This paper facilitates the optimization of device design, and broadens the possible applications in the display and photonic area.

scholarly journals Fault Mechanism Analysis for Manufacturing System Based on Catastrophe Model

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Jianhua Zhu ◽  
Chaoan Lai ◽  
Yanming Sun
Keyword(s):  
Catastrophe Theory ◽  
Manufacturing System ◽  
Fault Analysis ◽  
Fault Prediction ◽  
Cusp Catastrophe ◽  
Mechanism Analysis ◽  
Catastrophe Model ◽  
Cusp Catastrophe Model ◽  
Internal Fault ◽  
Fault Evolution

Fault analysis is important in both research and industry. Current fault analysis tasks are mainly concerned with fault prediction and classification and do not focus enough on fault evolution mechanisms. In this paper, we propose a fault analysis method based on catastrophe theory for manufacturing system to improve the effectiveness and efficiency of real time monitoring of potential fault and causes analysis. The key advantages of our proposed method are (i) utilizing catastrophe theory and big data analysis to establish the fault cusp catastrophe model of manufacturing system and create the internal fault evolution mechanism of manufacturing system by the cusp catastrophe model and, (ii) with the established catastrophe model, fulfilling fault monitoring and accurate preventive control of the manufacturing system and ensuring the healthy operation of the manufacturing system.

MODELING THE EFFECT OF PRIVATIZATION ON BEHAVIOR OF HURST EXPONENT USING STOCHASTIC CATASTROPHE THEORY

2010 ◽  
Vol 21 (05) ◽  
pp. 583-592 ◽  
Author(s):  
MEYSAM BOLGORIAN ◽  
REZA RAEI
Keyword(s):  
Catastrophe Theory ◽  
Hurst Exponent ◽  
Stock Exchange ◽  
Structural Break ◽  
Market Development ◽  
Cusp Catastrophe ◽  
Public Companies ◽  
Catastrophe Model ◽  
Cusp Catastrophe Model ◽  
The Impact

In this paper using the global Hurst exponent, the impact of privatization of public companies in Iran on the degree of efficiency in Tehran Stock Exchange is assessed. The results show that selling public companies' share in Tehran Stock Exchange (TSE) leads to a structural break in degree of market development. To model this phenomenon a catastrophe approach is used and it is demonstrated that this structural break can be better explained by a cusp catastrophe model.

scholarly journals Ferroelectric liquid crystals with sub-wavelength helix nanostructure pitch for the generation of axial-symmetric vortex light fields

2019 ◽  
Vol 220 ◽  
pp. 01005
Author(s):  
Svetlana Kotova ◽  
Evgeny Pozhidaev ◽  
Sergey Samagin ◽  
Vladimir Kesaev ◽  
Aleksandra Mayorova
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Light Fields ◽  
Phase Plate ◽  
Ferroelectric Liquid Crystal ◽  
Axially Symmetric ◽  
Ferroelectric Liquid Crystals ◽  
Oriented Layer ◽  
Spiral Phase ◽  
Sub Wavelength

Experimental results of the formation of axially symmetric vortex light fields with a frequency of up to 2 kilohertz are presented. The results were obtained by using a 12-sector spiral phase plate (SPP) based on a planar-oriented layer of a 50 μm-thick ferroelectric liquid crystal (FLC), having the spiral nanostructure pitch substantially less than 100 nm.

Sign in / Sign up

Export Citation Format

Share Document