Wrinkles and splay conspire to give positive disclinations negative curvature

Elisabetta A. Matsumoto; Daniel A. Vega; Aldo D. Pezzutti; Nicolás A. García; Paul M. Chaikin; Richard A. Register

doi:10.1073/pnas.1514379112

Wrinkles and splay conspire to give positive disclinations negative curvature

Elisabetta A. Matsumoto, Daniel A. Vega, Aldo D. Pezzutti, Nicolás A. García, Paul M. Chaikin, Richard A. Register

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

13 Scopus citations

Abstract

Recently, there has been renewed interest in the coupling between geometry and topological defects in crystalline and striped systems. Standard lore dictates that positive disclinations are associated with positive Gaussian curvature, whereas negative disclinations give rise to negative curvature. Here, we present a diblock copolymer system exhibiting a striped columnar phase that preferentially forms wrinkles perpendicular to the underlying stripes. In freestanding films this wrinkling behavior induces negative Gaussian curvature to form in the vicinity of positive disclinations.

Original language	English (US)
Pages (from-to)	12639-12644
Number of pages	6
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	112
Issue number	41
DOIs	https://doi.org/10.1073/pnas.1514379112
State	Published - Oct 13 2015

All Science Journal Classification (ASJC) codes

General

Keywords

Diblock copolymer
Disclinations and curvature
Free-standing membrane
Smectic
Wrinkling instability

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10.1073/pnas.1514379112

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title = "Wrinkles and splay conspire to give positive disclinations negative curvature",

abstract = "Recently, there has been renewed interest in the coupling between geometry and topological defects in crystalline and striped systems. Standard lore dictates that positive disclinations are associated with positive Gaussian curvature, whereas negative disclinations give rise to negative curvature. Here, we present a diblock copolymer system exhibiting a striped columnar phase that preferentially forms wrinkles perpendicular to the underlying stripes. In freestanding films this wrinkling behavior induces negative Gaussian curvature to form in the vicinity of positive disclinations.",

keywords = "Diblock copolymer, Disclinations and curvature, Free-standing membrane, Smectic, Wrinkling instability",

author = "Matsumoto, {Elisabetta A.} and Vega, {Daniel A.} and Pezzutti, {Aldo D.} and Garc{\'i}a, {Nicol{\'a}s A.} and Chaikin, {Paul M.} and Register, {Richard A.}",

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T1 - Wrinkles and splay conspire to give positive disclinations negative curvature

AU - Matsumoto, Elisabetta A.

AU - Vega, Daniel A.

AU - Pezzutti, Aldo D.

AU - García, Nicolás A.

AU - Chaikin, Paul M.

AU - Register, Richard A.

PY - 2015/10/13

Y1 - 2015/10/13

N2 - Recently, there has been renewed interest in the coupling between geometry and topological defects in crystalline and striped systems. Standard lore dictates that positive disclinations are associated with positive Gaussian curvature, whereas negative disclinations give rise to negative curvature. Here, we present a diblock copolymer system exhibiting a striped columnar phase that preferentially forms wrinkles perpendicular to the underlying stripes. In freestanding films this wrinkling behavior induces negative Gaussian curvature to form in the vicinity of positive disclinations.

AB - Recently, there has been renewed interest in the coupling between geometry and topological defects in crystalline and striped systems. Standard lore dictates that positive disclinations are associated with positive Gaussian curvature, whereas negative disclinations give rise to negative curvature. Here, we present a diblock copolymer system exhibiting a striped columnar phase that preferentially forms wrinkles perpendicular to the underlying stripes. In freestanding films this wrinkling behavior induces negative Gaussian curvature to form in the vicinity of positive disclinations.

KW - Diblock copolymer

KW - Disclinations and curvature

KW - Free-standing membrane

KW - Smectic

KW - Wrinkling instability

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SN - 0027-8424

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JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 41

ER -

Wrinkles and splay conspire to give positive disclinations negative curvature

Abstract

All Science Journal Classification (ASJC) codes

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