Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Complex Fluids and Colloids II (joint session CPP/DY)

DY 21.8: Vortrag

Dienstag, 13. März 2018, 11:30–11:45, C 264

Polar and nematic liquid crystals on curved surface — •Axel Voigt, Simon Praetorius, Michael Nestler, Ingo Nitschke, and Sebastian Reuther — TU Dresden, Institut für Wissenschaftliches Rechnen

We consider a thin film limit of a Frank-Oseen and a Landau-de Gennes model. In the limiting process we observe a continuous transition where the normal and tangential parts of the director and the Q-tensor decouple and various intrinsic and extrinsic contributions emerge. For the derived surface models, we consider an L²-gradient flow. The resulting vector- or tensor-valued surface partial differential equations are numerically solved to demonstrate realizations of the tight coupling of elastic and bulk free energy with geometric properties. We further discuss extensions towards surface Ericksen-Leslie and Beris-Edwards models and active liquid crystals on curved surfaces.