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Instabilities and solitons in minimal strips
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Machon, Thomas, Alexander, Gareth P., Goldstein, Raymond E. and Pesci, Adriana I. (2016) Instabilities and solitons in minimal strips. Physical Review Letters, 117 (1). 017801 . doi:10.1103/PhysRevLett.117.017801
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.117.017801
Abstract
We show that highly twisted minimal strips can undergo a nonsingular transition, unlike the singular transitions seen in the Möbius strip and the catenoid. If the strip is nonorientable, this transition is topologically frustrated, and the resulting surface contains a helicoidal defect. Through a controlled analytic approximation, the system can be mapped onto a scalar ϕ4 theory on a nonorientable line bundle over the circle, where the defect becomes a topologically protected kink soliton or domain wall, thus establishing their existence in minimal surfaces. Demonstrations with soap films confirm these results and show how the position of the defect can be controlled through boundary deformation.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||||
| Divisions: | Faculty of Science > Physics | ||||||
| Library of Congress Subject Headings (LCSH): | Surfaces (Physics) | ||||||
| Journal or Publication Title: | Physical Review Letters | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 0031-9007 | ||||||
| Official Date: | July 2016 | ||||||
| Dates: |
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| Volume: | 117 | ||||||
| Number: | 1 | ||||||
| Article Number: | 017801 | ||||||
| DOI: | 10.1103/PhysRevLett.117.017801 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access | ||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), University of Warwick Chancellor's Scholarship, University of Warwick Institute of Advanced Study Scholarship | ||||||
| Grant number: | A.MACX.0002 (EPSRC) |
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