SMECTIC LIQUID CRYSTALS AND THE PARABOLIC CYCLIDES
- 1 November 1994
- journal article
- research article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 47 (4) , 511-525
- https://doi.org/10.1093/qjmam/47.4.511
Abstract
This article demonstrates that parabolic cyclide surfaces are static solutions to the equilibrium equations of smectic liquid-crystal continuum theory. A suitable parametrization of such surfaces is derived which enables the Euler-Lagrange equations to be solved in a convenient coordinate system. Plots of these surfaces are presented and their relationship to disclinations and experimental observations is discussed.Keywords
This publication has 2 references indexed in Scilit:
- Conformal Geometry and the Cyclides of DupinCanadian Journal of Mathematics, 1980
- Focal sets, taut embeddings and the cyclides of DupinMathematische Annalen, 1978