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Fizika Tverdogo Tela, 2018, Volume 60, Issue 2, Pages 405–414
DOI: https://doi.org/10.21883/FTT.2018.02.45400.177
(Mi ftt9319)
 

Polymers

Features of relaxation of a stress tensor in the microscopic volume of nematic phase under the action of a strong electric field

A. V. Zakharov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
Abstract: A numerical study of new regimes of reorientation of director field $\hat{\mathbf{n}}$, velocity $\mathbf{v}$, and components of stress tensor $\sigma_{ij}$ ($ij=x,y,z$) of nematic liquid crystal (LC) encapsulated in a rectangular channel under the action of a strong electric field $\mathbf{E}$ directed at angle $\alpha(\sim\frac{\pi}{2})$ to the horizontal surfaces bounding the LC channel is proposed. The numerical calculations performed in the framework of nonlinear generalization of the classical Eriksen–Leslie theory have shown that at certain relations between the torques and momenta affecting the unit LC volume and $E\gg E_{th}$, transition periodic structures can emerge during reorientation of $\hat{\mathbf{n}}$, if the corresponding distortion mode has the fastest response, and, thus, suppress all other modes. Rotating domains originating within this process decrease the energy dissipation rate and create more favorable regimes of the director field reorientation, as compared with the uniform rotational displacement.
Funding agency Grant number
Russian Foundation for Basic Research 16-02-00041а
Received: 30.05.2017
English version:
Physics of the Solid State, 2018, Volume 60, Issue 2, Pages 412–421
DOI: https://doi.org/10.1134/S1063783418020312
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zakharov, “Features of relaxation of a stress tensor in the microscopic volume of nematic phase under the action of a strong electric field”, Fizika Tverdogo Tela, 60:2 (2018), 405–414; Phys. Solid State, 60:2 (2018), 412–421
Citation in format AMSBIB
\Bibitem{Zak18}
\by A.~V.~Zakharov
\paper Features of relaxation of a stress tensor in the microscopic volume of nematic phase under the action of a strong electric field
\jour Fizika Tverdogo Tela
\yr 2018
\vol 60
\issue 2
\pages 405--414
\mathnet{http://mi.mathnet.ru/ftt9319}
\crossref{https://doi.org/10.21883/FTT.2018.02.45400.177}
\elib{https://elibrary.ru/item.asp?id=32739794}
\transl
\jour Phys. Solid State
\yr 2018
\vol 60
\issue 2
\pages 412--421
\crossref{https://doi.org/10.1134/S1063783418020312}
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  • https://www.mathnet.ru/eng/ftt/v60/i2/p405
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