Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 1, Pages 69–71 (Mi vmumm384)  
This article is cited in 4 scientific papers (total in 4 papers)

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The role of divergent terms in the Frank energy of nematic liquid crystals

A. G. Kalugin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (188 kB) Citations (4)
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Abstract: The role of the divergent part of the Frank energy in the equilibrium state of nematic liquid crystals is considered. This term is needed to be considered in the boundary conditions only. It is shown that the divergent term plays the same role as Rapini–Papoular surface energy in the case of the boundary surface or the polar angle of director disturbances and leads to the azimuthal deflection of the director. The nematic equilibrium problem is considered in the case of small periodic boundary perturbations.
Key words: surface energy, nematic liquid crystals, orientation.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00188
Received: 29.02.2012
English version:
Moscow University Mechanics Bulletin, 2013, Volume 68, Issue 1, Pages 32–34
DOI: https://doi.org/10.3103/S002713301301007X
Bibliographic databases:
Document Type: Article
UDC: 532.6
Language: Russian
Citation: A. G. Kalugin, “The role of divergent terms in the Frank energy of nematic liquid crystals”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 1, 69–71; Moscow University Mechanics Bulletin, 68:1 (2013), 32–34
Citation in format AMSBIB
\Bibitem{Kal13}
\by A.~G.~Kalugin
\paper The role of divergent terms in the Frank energy of nematic liquid crystals
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 1
\pages 69--71
\mathnet{http://mi.mathnet.ru/vmumm384}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 32--34
\crossref{https://doi.org/10.3103/S002713301301007X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874853263}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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