Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation
Virga, Epifanio G.
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990), p. 275-280 / Harvested from Biblioteca Digitale Italiana di Matematica

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.

Publié le : 1990-09-01
@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] Oseen, C. W., The theory of liquid crystals. Trans. Faraday Soc., 29, 1933, 883-889. | Zbl 0008.04203

[2] Frank, F. C., On the theory of liquid crystals. Discuss. Faraday Soc, 28, 1958, 19-28.

[3] Cladis, P. E. - Kleman, M., Non-singular disclinations of strength S=+1 in nematics. J. Phys., 33, Paris 1972, 591-598.

[4] De Gennes, P. G., Phenomenology of short-range-order effects in the isotropic phase of nematic materials. Phys. Lett, 30 A, 1969, 454-455.

[5] De Gennes, P. G., Short range order effects in the isotropic phase of nematics and cholesterics. Mol. Cryst. Liq. Cryst., 12, 1971, 193-214.

[6] Fan, C., Disclination lines in liquid crystals. Phys. Lett., 34 A, 1972, 335-336.

[7] Fan, C. - Stephen, M. J., Isotropic-nematic phase transitions in liquid crystals. Phys. Rev. Lett., 25, 1970, 500-503.

[8] Ericksen, J. L., Liquid crystals with variable degree of orientation. IMA Preprint Series No. 559, 1989. | MR 1079183 | Zbl 0729.76008

[9] Maddocks, J., A model for disclinations in nematic liquid crystals. In: J. L. Ericksen - D. Kinderleherer (eds.), Theory and applications of liquid crystals. IMA Volumes in Mathematics and its applications, 5, 1987, 255-270. | MR 900834 | Zbl 0713.76006

[10] Lin, F. H., 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] Marrucci, G., Rheology of liquid crystalline polymers. Pure Appl. Chem., 57, 1985, 1545-1552.

[12] Berry, G. C., Rheological properties of nematic solutions of rodlike polymers. Mol. Cryst. Liq. Cryst., 165, 1988, 333-360.

[13] Ambrosio, L. - Virga, E. G., 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] Mizel, V. - Roccato, D. - Virga, E. G., On disclinations of nematic liquid crystals in capillary tubes. Forthcoming 1990.

[15] Brezis, H. - Coron, J. M. - Lieb, E., Estimations d'énergie pour des applications de R3 à valeurs dans S2. C. R. Acad. Sci. Paris, 303, 1986, 207-210. | MR 854735