Work

Smectic Pores and Defect Cores

Year: 2011

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1110.0664

Authors: Matsumoto, Elisabetta A., Santangelo, Christian D., Kamien, Randall D.

Institutions: Princeton University, University of Pennsylvania, University of Massachusetts Amherst

Language: English

Topic: Liquid Crystal Research Advancements

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952784312

Cites: 16

Cited by:

Related to: 20