Literature DB >> 24098846

Smectic pores and defect cores.

Elisabetta A Matsumoto1, Randall D Kamien, Christian D Santangelo.   

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

Year:  2012        PMID: 24098846      PMCID: PMC3438569          DOI: 10.1098/rsfs.2011.0095

Source DB:  PubMed          Journal:  Interface Focus        ISSN: 2042-8898            Impact factor:   3.906


  5 in total

1.  Morphology of steps in terraced block copolymer films.

Authors: 
Journal:  Phys Rev Lett       Date:  1994-12-12       Impact factor: 9.161

2.  Helical nanofilaments and the high chirality limit of smectics A.

Authors:  Elisabetta A Matsumoto; Gareth P Alexander; Randall D Kamien
Journal:  Phys Rev Lett       Date:  2009-12-18       Impact factor: 9.161

3.  Shapes of embedded minimal surfaces.

Authors:  Tobias H Colding; William P Minicozzi
Journal:  Proc Natl Acad Sci U S A       Date:  2006-07-17       Impact factor: 11.205

4.  Elliptic phases: a study of the nonlinear elasticity of twist-grain boundaries.

Authors:  Christian D Santangelo; Randall D Kamien
Journal:  Phys Rev Lett       Date:  2006-04-07       Impact factor: 9.161

5.  Passages and droplets in lamellar fluid membrane phases.

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1994-10
  5 in total
  2 in total

1.  A Björling representation for Jacobi fields on minimal surfaces and soap film instabilities.

Authors:  Gareth P Alexander; Thomas Machon
Journal:  Proc Math Phys Eng Sci       Date:  2020-06-24       Impact factor: 2.704

2.  Fundamental helical geometry consolidates the plant photosynthetic membrane.

Authors:  Yuval Bussi; Eyal Shimoni; Allon Weiner; Ruti Kapon; Dana Charuvi; Reinat Nevo; Efi Efrati; Ziv Reich
Journal:  Proc Natl Acad Sci U S A       Date:  2019-10-14       Impact factor: 11.205

  2 in total

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