Numerical Modeling of the Static Electric Field Effect on the Director of the Nematic Liquid Crystal Director

Ayriyan, Alexander; Ayrjan, E. A.; Egorov, A. A.; Maslyanitsyn, I. A.; Shigorin, V. D.

doi:10.1134/s2070048218060029

Cited by 8 publications

(12 citation statements)

References 10 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%

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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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%

See 2 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

View full text Add to dashboard Cite

show abstract

“…Corresponding partial differential equation of the second order can be written in the next form [24]:…”

Section: Zhurnal Radioelektroniki -Journal Of Radio Electronicsmentioning

confidence: 99%

Irregular liquid crystal waveguide structures: analysis of quasi-stationary fluctuations, power loss and statistical properties of irregularities.

Egorov¹,

Ayriyan²,

Ayrjan³

2020

JRE

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Irregular nematic liquid crystal waveguide structures were investigated by the numeric simulation and experimentally. The dependence of attenuation coefficient (optical losses) of the waveguide modes and the effective sizes (correlation radii) of quasi-stationary irregularities of the liquid-crystal layer on the linear polarization of the incident laser radiation and the presence of pulse-periodic electric field were experimentally observed and investigated. An estimate is made of the correlation radii of liquid-crystal waveguide quasi-stationary irregularities. The observed decrease in the attenuation coefficient of the waveguide modes and the effective sizes of irregularities in the liquid-crystal layer, when the external electric field is switched on, explained by the effect of the decrease in the fluctuations correlation radii of the local orientation of the molecules of the liquid crystal. Experimental spectral density function of the statistical quasi-stationary nematic liquid crystal irregularities was restored and relevant statistical parameters are given. The obtained results are undoubtedly important for further research of dynamic processes inside non stationary waveguide liquid crystal layers, both from the theoretical point of view for understanding kinetic processes in the liquid crystals, and with practical,-in the organization and carrying out suitable experimental researches.

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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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Numerical Modeling of the Static Electric Field Effect on the Director of the Nematic Liquid Crystal Director

Cited by 8 publications

References 10 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.

Irregular liquid crystal waveguide structures: analysis of quasi-stationary fluctuations, power loss and statistical properties of irregularities.

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

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