Smectic pores and defect cores

Elisabetta A. Matsumoto; Randall D. Kamien; Christian D. Santangelo

doi:10.1098/rsfs.2011.0095

Smectic pores and defect cores

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

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Riemann's minimal surfaces, a one parameter family of minimal surfaces, describe 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.

Original language	English (US)
Pages (from-to)	617-622
Number of pages	6
Journal	Interface Focus
Volume	2
Issue number	5
DOIs	https://doi.org/10.1098/rsfs.2011.0095
State	Published - Oct 6 2012
Externally published	Yes

Keywords

Minimal surfaces
Smectic liquid crystals
Topological defects

ASJC Scopus subject areas

Biotechnology
Biophysics
Bioengineering
Biochemistry
Biomaterials
Biomedical Engineering

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10.1098/rsfs.2011.0095

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title = "Smectic pores and defect cores",

abstract = "Riemann's minimal surfaces, a one parameter family of minimal surfaces, describe 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.",

keywords = "Minimal surfaces, Smectic liquid crystals, Topological defects",

author = "Matsumoto, {Elisabetta A.} and Kamien, {Randall D.} and Santangelo, {Christian D.}",

year = "2012",

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AU - Matsumoto, Elisabetta A.

AU - Kamien, Randall D.

AU - Santangelo, Christian D.

PY - 2012/10/6

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N2 - Riemann's minimal surfaces, a one parameter family of minimal surfaces, describe 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.

AB - Riemann's minimal surfaces, a one parameter family of minimal surfaces, describe 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.

KW - Minimal surfaces

KW - Smectic liquid crystals

KW - Topological defects

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Smectic pores and defect cores

Abstract

Keywords

ASJC Scopus subject areas

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