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Power of the Poincaré group : elucidating the hidden symmetries in focal conic domains
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Alexander, Gareth P., Chen, Bryan, Matsumoto, Elisabetta and Kamien, Randall (2010) Power of the Poincaré group : elucidating the hidden symmetries in focal conic domains. Physical Review Letters, Vol.104 (No.25). Article no. 257802. doi:10.1103/PhysRevLett.104.257802 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.104.257802
Abstract
Focal conic domains are typically the “smoking gun” by which smectic liquid crystalline phases are identified. The geometry of the equally spaced smectic layers is highly generic but, at the same time, difficult to work with. In this Letter we develop an approach to the study of focal sets in smectics which exploits a hidden Poincaré symmetry revealed only by viewing the smectic layers as projections from one-higher dimension. We use this perspective to shed light upon several classic focal conic textures, including the concentric cyclides of Dupin, polygonal textures, and tilt-grain boundaries.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Journal or Publication Title: | Physical Review Letters | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 0031-9007 | ||||
| Official Date: | 25 June 2010 | ||||
| Dates: |
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| Volume: | Vol.104 | ||||
| Number: | No.25 | ||||
| Page Range: | Article no. 257802 | ||||
| DOI: | 10.1103/PhysRevLett.104.257802 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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