Simulation of the Static Electric Field Effect on the Director Orientation of Nematic Liquid Crystal in the Transition State

Ayriyan, Alexander; Ayrjan, E. A.; Dencheva-Zarkova, Maria; Egorov, A. A.; Hadjichristov, Georgi B.; Marinov, Yordan G.; Maslyanitsyn, I. A.; Петров, А. Г.; Popova, L.; Shigorin, V. D.; Torgova, S. I.

doi:10.3103/s1541308x19010114

Cited by 3 publications

(9 citation statements)

References 8 publications

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“…If the directions of the field and director in the initial state do not satisfy the condition of the minimum of the free energy at quite a high field which is capable of overcoming the NLC's elastic forces, the director will be reoriented and its new stationary distribution will be established. In our previous paper when carrying out the standard minimization procedure for the free energy of the ensemble of NLC molecules [15] in the external electric field E and not going beyond the qualitative estimation of the final results to simplify the problem's solution, we obtained the second-order partial differential equation [12,15,16,18,21]. Then the numerical solutions of this equation with known boundary conditions were obtained and studied.…”

Section: Theory and Experiment Results Of Computer Modelingmentioning

confidence: 99%

“…To accelerate the iterative processes, control of the accuracy of the obtained solutions and precision of the results, the calculations were carried out on a sequence of grids. The programs for solving the boundary-value problem were realized in FORTRAN and C/C++ [12,15,16,18,21,22].…”

Section: Theory and Experiment Results Of Computer Modelingmentioning

confidence: 99%

“…1) formed from NLC 4-Cyano-4'pentylbiphenyl (4-Cyano-4'-pentylbiphenyl or 5CB), well known from publications in the scientific and scientific literature (see e.g. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]). In this geometry, the equation of director motion, which expresses the balance between the elastic and viscous torque and the external field torque, has close-to-zero initial and boundary conditions.…”

Section: Lc Cell Structuresmentioning

confidence: 99%

“…The establishment of the basic relationship between the properties of liquid crystals (LCs) and their structure [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] is important for various applications. The research in this field includes the development of a theoretical model for the object under study, considering its response to external actions (electric or magnetic fields, light, etc.…”

Section: Introductionmentioning

confidence: 99%

“…In the paper [16] some results of the simulation of the static electric field effect on the director orientation of nematic liquid crystal were presented. We should note ZHURNAL RADIOELEKTRONIKI -JOURNAL OF RADIO ELECTRONICS, ISSN 1684-1719, N1, 2021 3 that in this study, the effect of introducing time dependence into the two-dimensional differential equation describing the NLC director motion in a dc electric field was analyzed [16]. At the same time, there is a practical need to study various behaviors when there is a real dependence of the director orientation of an LC on the time, for example when the high pulse-periodic electric field is applied in the experiments.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Computer simulation of the pulse-periodic electric field effect on the 2D director orientation of nematic liquid crystal. Experimental research of multimode nematic liquid crystal waveguides.

Ayriyan¹,

Ayryan²,

Egorov³

2021

JRE

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In this paper, we numerically investigate a two-dimensional differential equation describing the motion of a director of a nematic liquid crystal for the case of an alternating external electric field. The presence of the previously discovered accumulation effect has been confirmed by numerical modeling. A comparison is made with the case of a constant electric field, and also a qualitative comparison with an experiment is given. Incomplete agreement with experimental data indicates the need for further research. However, it should be noted that the constructed mathematical model of the phenomenon allows at this stage to obtain estimates that are sufficiently acceptable for experiment and correctly predict the dynamics of processes in liquid crystals. An analysis of the features of the propagation of quasi-waveguide modes in a liquid crystal waveguide showed that, in the case of dynamic processes, such effects as power exchange between coupled modes, leakage of modes, re-emission of modes into modes of a different order, etc., can be observed. The programs for numerical solution and computer modeling of two-dimensional parabolic partial differential equation were developed both in FORTRAN and C/C++. The results obtained are important for further investigation of dynamic processes inside non-stationary liquid crystal layers, both from a theoretical point of view for understanding kinetic processes in liquid crystals and from a practical point of view when organizing and conducting different experimental research.

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Section: Theory and Experiment Results Of Computer Modelingmentioning

confidence: 99%

Section: Theory and Experiment Results Of Computer Modelingmentioning

confidence: 99%

Section: Lc Cell Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computer simulation of the pulse-periodic electric field effect on the 2D director orientation of nematic liquid crystal. Experimental research of multimode nematic liquid crystal waveguides.

Ayriyan¹,

Ayryan²,

Egorov³

2021

JRE

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Dielectric anisotropy changes in MBBA liquid crystal doped with barium titanate by a new method

Beigmohammadi,

Khadem Sadigh,

Poursamad

2024

Sci Rep

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In response to the burgeoning interest in enhancing the properties of liquid crystal composites, this research systematically explores the intricate interplay between MBBA nematic liquid crystals and ferroelectric barium titanate nanoparticles. The focus is modulating dielectric properties under temperature, frequency, and an applied electric field. Nuanced insights into temperature-dependent behavior, parallel and perpendicular component alterations, and a nonlinear correlation between nanoparticle concentration and dielectric constant are revealed. The study delves into dielectric anisotropy, indicating a reduction with increasing temperature. Structural analyses validate size reduction and crystal phase maintenance of barium titanate nanoparticles (NPs), emphasizing their impact on dielectric characteristics. Frequency-dependent investigations underscore a consistent decline in permittivity with rising frequency across nanoparticle concentrations. Application of an electric field in filling process of liquid crystal cells reveals irregular changes in dielectric constant, holding promise for tailored applications in display technologies. These comprehensive findings offer valuable insights into manipulating dielectric anisotropy properties of MBBA liquid crystal by a simple method for potential advancements in optoelectronic devices and display technologies.

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Properties of nematic LC planar and smoothly-irregular waveguide structures: research in the experiment and using computer modeling

et al. 2019

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Nematic liquid crystal planar and smoothly-irregular waveguide structures were studied experimentally and by the computer modeling. Two types of optical smoothly-irregular waveguide structures promising for application in telecommunications and control systems are studied by numerical simulation: liquid crystal waveguides and thin film solid generalized waveguide Luneburg lens. Study of the behavior of these waveguide structures where liquid crystal layer can be used to control the properties of the entire device, of course, promising, especially since such devices are also able to perform various sensory functions when changing some external parameters, accompanied by a change in a number of their properties. It can be of interest to researchers not only in the field of the integrated optics but also in some others areas: nano-photonics, optofluidics, telecommunications, and control systems. The dependences of the attenuation coefficient (optical losses) of waveguide modes and the effective sizes (correlation radii) of quasi-stationary irregularities of the liquid-crystal layers on the linear laser radiation polarization and on the presence of pulse-periodic electric field were experimentally observed. An estimate was made of the correlation radii of liquid-crystal waveguide quasi-stationary irregularities. The obtained results are undoubtedly important for further research of waveguide liquid crystal layers, both from the theoretical point of view, and practical – in the organization and carrying out new experimental researches, for example, when developing promising integrated-optical LC sensors.

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Simulation of the Static Electric Field Effect on the Director Orientation of Nematic Liquid Crystal in the Transition State

Cited by 3 publications

References 8 publications

Computer simulation of the pulse-periodic electric field effect on the 2D director orientation of nematic liquid crystal. Experimental research of multimode nematic liquid crystal waveguides.

Computer simulation of the pulse-periodic electric field effect on the 2D director orientation of nematic liquid crystal. Experimental research of multimode nematic liquid crystal waveguides.

Dielectric anisotropy changes in MBBA liquid crystal doped with barium titanate by a new method

Properties of nematic LC planar and smoothly-irregular waveguide structures: research in the experiment and using computer modeling

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