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arXiv · 1110.0664

Smectic Pores and Defect Cores

Elisabetta A. Matsumoto·Christian D. Santangelo·Randall D. Kamien
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Abstract

Riemann's minimal surfaces are a complete, embeddable, one-parameter family of minimal surfaces with translational symmetry along one direction. It's infinite number of planar ends are joined together by an array of necks, closely matching the morphology of a bicontinuous, lamellar system with pores connecting alternating layers. We demonstrate explicitly that Riemann's minimal surfaces are composed of a nonlinear sum of two oppositely-handed helicoids. This description is particularly appropriate for describing smectic liquid crystals containing two screw dislocations.

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Elisabetta A. Matsumoto, Christian D. Santangelo, Randall D. Kamien. 2011-10-04. Smectic Pores and Defect Cores. https://arxiv.org/abs/1110.0664

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