The Library
Instabilities and solitons in minimal strips
Tools
Tools
Tools
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 ISSN 0031-9007.
|
PDF
WRAP_PhysRevLett.117.017801.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution. Download (1474Kb) | Preview |
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, Engineering and Medicine > 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: |
|
||||||
| 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 (Creative Commons) | ||||||
| Date of first compliant deposit: | 4 July 2016 | ||||||
| Date of first compliant Open Access: | 4 July 2016 | ||||||
| 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) |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
