There is enough evidence to re-examine disclinations and hedgehogs, the singularities often observed in nematic liquid crystals, in the light of a new theory that allows for local changes in the degree of orientation.
Singolarità di linea e di punto in cristalli liquidi nematici con graào à'orientamento variabile. Si esaminano le singolarità di linea e di punto, che spesso sono presenti nei cristalli liquidi, alla luce di una nuova teoria di Ericksen in cui si ammette che il grado d'orientamento del cristallo possa variare nello spazio.
@article{RLIN_1990_9_1_3_275_0,
author = {Epifanio G. Virga},
title = {Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {1},
year = {1990},
pages = {275-280},
zbl = {0713.76015},
mrnumber = {1083255},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_3_275_0}
}
Virga, Epifanio G. Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 275-280. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_3_275_0/
[1] , The theory of liquid crystals. Trans. Faraday Soc., 29, 1933, 883-889. | Zbl 0008.04203
[2] , On the theory of liquid crystals. Discuss. Faraday Soc, 28, 1958, 19-28.
[3] - , Non-singular disclinations of strength in nematics. J. Phys., 33, Paris 1972, 591-598.
[4] , Phenomenology of short-range-order effects in the isotropic phase of nematic materials. Phys. Lett, 30 A, 1969, 454-455.
[5] , Short range order effects in the isotropic phase of nematics and cholesterics. Mol. Cryst. Liq. Cryst., 12, 1971, 193-214.
[6] , Disclination lines in liquid crystals. Phys. Lett., 34 A, 1972, 335-336.
[7] - , Isotropic-nematic phase transitions in liquid crystals. Phys. Rev. Lett., 25, 1970, 500-503.
[8] , Liquid crystals with variable degree of orientation. IMA Preprint Series No. 559, 1989. | MR 1079183 | Zbl 0729.76008
[9] , A model for disclinations in nematic liquid crystals. In: - (eds.), Theory and applications of liquid crystals. IMA Volumes in Mathematics and its applications, 5, 1987, 255-270. | MR 900834 | Zbl 0713.76006
[10] , Nonlinear theory of defects in nematic liquid crystals; phase transition and flow phenomena. Comm. Pure Appl. Math., 42, 1988, 789-814. | MR 1003435 | Zbl 0703.35173
[11] , Rheology of liquid crystalline polymers. Pure Appl. Chem., 57, 1985, 1545-1552.
[12] , Rheological properties of nematic solutions of rodlike polymers. Mol. Cryst. Liq. Cryst., 165, 1988, 333-360.
[13] - , A boundary-value problem for nematic liquid crystals with variable degree of orientation. Arch. Rational Mech. Anal., 1990, to appear. | MR 1100799 | Zbl 0736.49031
[14] - - , On disclinations of nematic liquid crystals in capillary tubes. Forthcoming 1990.
[15] - - , Estimations d'énergie pour des applications de à valeurs dans . C. R. Acad. Sci. Paris, 303, 1986, 207-210. | MR 854735