Eur. Phys. J. E 4, 241-251
The confinement of smectics with a strong anchoringC. Blanc and M. Kleman
Laboratoire de Minéralogie-Cristallographie de Paris (UMR7590), T16 case 115, 4 place Jussieu, F-75252 Paris cedex 05, France email@example.com
(Received 11 May 2000)
We examine several geometric features of the confinement of lamellar materials in complex geometries. When the anchoring of a sample at its boundaries (smectic-fluid interfaces or smectic-solid substrates interfaces) is strong enough, the geometric approximation of parallel layers can be extended to the bounding surface of the sample. Depending on the concavity of the interface, a strong planar anchoring is then compatible (or not) with a smectic organization in the bulk. We give the simplest smectic organization which satisfies a planar anchoring everywhere on the interface of axisymmetric inverse SmA droplets and compute its curvature energy. Eventually, the reason is given why the textures of direct and inverse SmA droplets are so much different (as it was first noticed in the pioneering work on SmA of Friedel and Grandjean).
61.30.Jf - Defects in liquid crystals.
68.10.Cr - Surface energy (surface tension, interface tension, angle of contact, etc.).
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001