Mathematical developments in the study of smectic a liquid crystals

International Journal of Engineering Science

Volumn 38, Issue 9, 2000, Pages 1113-1128

  Calderer, M Carme ^a   Liu, Chun ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MOLECULAR ORIENTATION; NEMATIC LIQUID CRYSTALS; PHASE TRANSITIONS; SUPERCONDUCTIVITY;

CHIRALITY; GINZBURG-LANDAU MODEL; NEMATIC PHASE TRANSITION;

SMECTIC LIQUID CRYSTALS;

EID: 0033752525     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(99)00111-1     Document Type: Article

References (22)

1. P. Bauman, M.C. Calderer, C. Liu, D. Phillips, The phase transition between nematic and smectic A* liquid crystal, Preprint, 1999.
2. F. Bethuel, H. Brezis, J.M. Helein, Ginzburg-Landau Vortices, Birkhauser, Boston, 1994.
3. Calderer M.C., Liu C., Voss K. Radial configuration of smectic A materials and focal conics. Physica D. 124:1998;11-22.
4. M.C. Calderer, C. Liu, K. Voss, Smectic A liquid crystal configurations with interface defects, Penn State Applied Tech. Report AM 181 (1999), submitted for publication.
5. M.C. Calderer, C. Liu, L. Truskinovsky, Smectic A liquid crystals as modulated nematics, Preprint, 1999.
6. Chandrasekhar S. Liquid Crystals, second ed. 1992;Cambridge University Press, Cambridge.
7. Ericksen J.L. Equilibrium of bars. J. Elasticity. 5:1975;191-202.
8. de Gennes P.G. An analogy between superconductors and smectics A. Solid State Commun. 10:1972;753-756.
9. de Gennes P.G., Prost J. The Physics of Liquid Crystals, second ed. 1993;Oxford University Press (Clarendon), London.
10. Eringen A.C. Mechanics of Continua. 1967;Wiley, New York.
11. Friedel G. Ann. Phys. (Paris). 2:1922;273-289.
12. C.J.G. Cervera, E. Weinan, Personal communication, 1998.
13. Golubitsky M., Stewart I., Schaeffer D.G. Singularities and Groups in Bifurcation Theory. 1985;Springer, New York.
14. G.W. Gray, J.W. Goodby, Smectic Liquid Crystals: Textures and Structures, Heyden, London, 1984.
15. D. Kinderlehrer, C. Liu, Revisiting the focal conic structures in smectic A, in: Proceedibgs of the Symposium on Elasticity to honor Prof. J.L. Ericksen, 1996.
16. Kralj S., Sluckin T.J. Landau-de Gennes theory of the chevron structure in a smectic-A liquid crystal. Phys. Rev. E. 50:1969;2940-2951.
17. Limat L., Prost J. A model for the chevron structure obtained by cooling a smectic-A liquid crystal in a cell of finite thickness. Liquid Crystals. 13:1993;101-113.
18. M.J. Lai, C. Liu, P. Wenston, Theoretical and numerical analysis of two nonlinear biharmonic equations arising from the study of liquid crystals, Preprint, 1998.
19. Lubensky W., Renn S.R. Twist-grain-boundary phases near the nematic-smectic A-smectic C point in liquid crystals. Phys. Rev. A. 41:1990;4392-4401.
20. McMillan W.L. Phys. Rev. A. 6:1972;936.
21. Maier W., Saupe A.Z. Naturforsch. A 13:1958;564.
22. Prost J. J. Phys. Paris. 40:1979;273.