Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation

Epifanio G. Virga

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 3, page 275-280
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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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 1.3 (1990): 275-280. <http://eudml.org/doc/244321>.

@article{Virga1990,
abstract = {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.},
author = {Virga, Epifanio G.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Liquid crystals; Disclinations; Hedgehogs; Degree of orientation; disclinations; hedgehogs; singularities; nematic liquid crystals},
language = {eng},
month = {9},
number = {3},
pages = {275-280},
publisher = {Accademia Nazionale dei Lincei},
title = {Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation},
url = {http://eudml.org/doc/244321},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Virga, Epifanio G.
TI - Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/9//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 3
SP - 275
EP - 280
AB - 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.
LA - eng
KW - Liquid crystals; Disclinations; Hedgehogs; Degree of orientation; disclinations; hedgehogs; singularities; nematic liquid crystals
UR - http://eudml.org/doc/244321
ER -

References

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  1. OSEEN, C. W., The theory of liquid crystals. Trans. Faraday Soc., 29, 1933, 883-889. Zbl0008.04203
  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. Zbl0729.76008MR1079183DOI10.1007/BF00380413
  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. Zbl0713.76006MR900834DOI10.1007/978-1-4613-8743-5_13
  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. Zbl0703.35173MR1003435DOI10.1002/cpa.3160420605
  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. Zbl0736.49031MR1100799DOI10.1007/BF00376138
  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 R 3 à valeurs dans S 2 . C. R. Acad. Sci. Paris, 303, 1986, 207-210. MR854735

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