Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/326327
Type: Artigo
Title: Weirdest Martensite: Smectic Liquid Crystal Microstructure And Weyl-poincare Invariance
Weirdest martensite: smectic liquid crystal microstructure and Weyl-Poincaré invariance
Author: Liarte, Danilo B.
Bierbaum, Matthew
Mosna, Ricardo A.
Kamien, Randall D.
Sethna, James P.
sethna@lassp.cornell.edu
Abstract: Smectic liquid crystals are remarkable, beautiful examples of materials microstructure, with ordered patterns of geometrically perfect ellipses and hyperbolas. The solution of the complex problem of filling three-dimensional space with domains of focal conics under constraining boundary conditions yields a set of strict rules, which are similar to the compatibility conditions in a martensitic crystal. Here we present the rules giving compatible conditions for the concentric circle domains found at two-dimensional smectic interfaces with planar boundary conditions. Using configurations generated by numerical simulations, we develop a clustering algorithm to decompose the planar boundaries into domains. The interfaces between different domains agree well with the smectic compatibility conditions. We also discuss generalizations of our approach to describe the full three-dimensional smectic domains, where the variant symmetry group is the Weyl-Poincare group of Lorentz boosts, translations, rotations, and dilatations.
Smectic liquid crystals are remarkable, beautiful examples of materials microstructure, with ordered patterns of geometrically perfect ellipses and hyperbolas. The solution of the complex problem of filling three-dimensional space with domains of focal conics under constraining boundary conditions yields a set of strict rules, which are similar to the compatibility conditions in a martensitic crystal. Here we present the rules giving compatible conditions for the concentric circle domains found at two-dimensional smectic interfaces with planar boundary conditions. Using configurations generated by numerical simulations, we develop a clustering algorithm to decompose the planar boundaries into domains. The interfaces between different domains agree well with the smectic compatibility conditions. We also discuss generalizations of our approach to describe the full three-dimensional smectic domains, where the variant symmetry group is the Weyl-Poincare group of Lorentz boosts, translations, rotations, and dilatations.
Subject: Cristais líquidos
Análise por agrupamento
Algoritmos
Country: Estados Unidos
Editor: American Physical Society
Citation: Physical Review Letters. Amer Physical Soc, v. 116, p. , 2016.
Rights: aberto
Identifier DOI: 10.1103/PhysRevLett.116.147802
Address: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.147802
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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