Liquid crystals on deformable surfaces

Liquid crystals on deformable surfaces

Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk-free energies of the liquid crystal with geometric properties of the surface. We derive a thermodynamically consistent Landau-de G...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2020-09, Vol.476 (2241), p.1-23
Hauptverfasser: Nitschke, Ingo, Reuther, Sebastian, Voigt, Axel
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container_title Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences
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creator Nitschke, Ingo
Reuther, Sebastian
Voigt, Axel
description Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk-free energies of the liquid crystal with geometric properties of the surface. We derive a thermodynamically consistent Landau-de Gennes-Helfrich model which considers the simultaneous relaxation of the Q-tensor field and the surface. The resulting system of tensor-valued surface partial differential equation and geometric evolution laws is numerically solved to tackle the rich dynamics of this system and to compute the resulting equilibrium shape. The results strongly depend on the intrinsic and extrinsic curvature contributions and lead to unexpected asymmetric shapes.
doi_str_mv 10.1098/rspa.2020.0313
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title Liquid crystals on deformable surfaces
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