The role of divergent terms in the Frank energy of nematic liquid crystals
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 69-71
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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.
@article{VMUMM_2013_1_a14,
author = {A. G. Kalugin},
title = {The role of divergent terms in the {Frank} energy of nematic liquid crystals},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {69--71},
publisher = {mathdoc},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a14/}
}
TY - JOUR AU - A. G. Kalugin TI - The role of divergent terms in the Frank energy of nematic liquid crystals JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2013 SP - 69 EP - 71 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a14/ LA - ru ID - VMUMM_2013_1_a14 ER -
A. G. Kalugin. The role of divergent terms in the Frank energy of nematic liquid crystals. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 69-71. http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a14/