Email this article Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation
- Authors: Kalugin A.G.1
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Affiliations:
- Moscow State University
- Issue: Vol 72, No 6 (2017)
- Pages: 150-152
- Section: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164485
- DOI: https://doi.org/10.3103/S0027133017060048
- ID: 164485
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Abstract
The boundary conditions are studied for nematic liquid crystals in the case of weak anchoring. The cases of the general expression and one-constant approximation are considered for the Frank energy of elastic distortions of the director field. It is shown that the one-constant approximation is correct for one-dimensional problems only and, for two- and three-dimensional problems, this model significantly simplifies the boundary conditions and changes their type.
About the authors
A. G. Kalugin
Moscow State University
Author for correspondence.
Email: kalugin@mech.math.msu.su
Russian Federation, Moscow, 119899
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