Regensburg 2019 – wissenschaftliches Programm
SYGT 1.5: Hauptvortrag
Dienstag, 2. April 2019, 11:45–12:15, H1
Roles of the curvature in two-dimensional nematic films — •Gaetano Napoli1 and Luigi Vergori2 — 1Università del Salento — 2Università di Perugia
Thin nematic films provide a fascinating instance where the interplay between geometry and physics is at work. We illustrate the vector and the order-tensor theories for deformable fluid films, ideally two dimensional, endowed with an in-plane degenerate nematic order. As an application, we consider a generalization of the classical Plateau problem to an axisymmetric nematic film bounded by two coaxial parallel rings. Within the vector theory, the shape of the film results from a competition between surface tension, which favors the minimization of the film area, the nematic elasticity, that brings up the role of curvature. Furthermore, within tensor Landau-de Gennes theory the curvature competes against the temperature favoring the nematic ordering.