Modelling the capillary locking of point defects in nematic liquid crystals

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 58, Issue 3, 1997, Pages 211-236

  Guidone Peroli, G ^a   Virga, E G ^b  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; CAPILLARY TUBES; MATHEMATICAL MODELS; NEMATIC LIQUID CRYSTALS; VARIATIONAL TECHNIQUES;

CAPILLARY LOCKING; MENISCUS;

POINT DEFECTS;

EID: 0031163716     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/58.3.211     Document Type: Article

References (20)

1. 24. Phys. Rev. Lett. 67, 1442-5.
2. CLADIS, P. E., & KLÉMAN, M., 1972. Non-singular disclinations of strength S = +1 in nematics. J. Phys. (Paris) 33, 591-8.
3. CRAWFORD, G. P., VILFAN, M., DOANE, J. W., & VILFAN, I., 1991a. Escaped-radial nematic configuration in submicrometer-size cylindrical cavities: Deuterium nuclear-magnetic resonance study. Phys. Rev. A 43, 833-42.
4. 2H-NMR study. Phys. Rev. A 44, 2570-7.
5. CRAWFORD, G. P., ALLENDER, D. W., & DOANE, J. W., 1992. Surface elastic and molecular-anchoring properties of nematic liquid crystals confined to cylindrical cavities. Phys. Rev. A 45, 8693-708.
6. DAFERMOS, C. M., 1970. Disclinations in liquid crystals. Quart. J. Mech. Appl. Math. 23S, 49-64.
7. ERICKSEN, J. L., 1970. Singular solutions in liquid crystal theory. In: Liquid Crystals and Ordered Fluids. (J. F. Johnson & R. S. Porter, eds.), pp. 183-93. New York: Plenum Press.
8. ERICKSEN, J. L., 1991. Liquid crystals with variable degree of orientation. Arch. Rational Mech. Anal. 113, 97-120.
9. ERICKSEN, J. L., 1995. Remarks concerning forces on defect lines. ZAMP 46, S247-S271.
10. ERICKSEN, J. L., 1996. Static theory of point defects in nematic liquid crystals. In: Non Linear Effects in Fluids and Solids (M. M. Carroll & M. Hayes, eds.), pp. 137-48. New York: Plenum Press.
11. ESHELBY, J. D., 1980. The force on a disclination in a liquid crystal. Philos. Mag. A 42, 359B-367.
12. GUIDONE PEROLI, G., & VIRGA, E. G., 1996a. Annihilation of point defects in nematics. Phys. Rev. E 54, 5235-41.
13. GUIDONE PEROLI, G., & VIRGA, E. G., 1996b. Dynamics of point defects in nematic liquid crystals. Physica D. Submitted.
14. GUIDONE PEROLI, G., & VIRGA, E. G., 1996c. Capillary locking of point defects in nematics. In: Contemporary Research in the Mechanics and Mathematics of Materials. (R. C. Batra & M. F. Beatty, eds.), pp. 236-47. Barcelona: CIMNE.
15. GUIDONE PEROLI, G. & VIRGA, E. G., 1997. Arrays of nematic point-defects evolving towards neutral equilibria. Phys. Rev. E. Submitted.
16. HOCKING, J. G., & YOUNG, G. S., 1961. Topology. Reading, MA: Addison-Wesley.
17. MEYER, R. M., 1973. On the existence of even indexed disclinations in nematic liquid crystals. Philos. Mag. 77, 405-24.
18. VILFAN, I., VILFAN, M., & ZUMER, S., 1991. Defect structures of nematic liquid crystals in cylindrical cavities. Phys. Rev. A 43, 6875-80.
19. VIRGA, E. G., 1994. Variational Theories for Liquid Crystals. London: Chapman & Hall.
20. WILLIAMS, C., CLADIS, P. E., & KLEMAN, M., 1973. Screw disclinations in nematic samples with cylindrical symmetry. Mol. Cryst. Liq. Cryst. 21, 355-73.