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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

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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:
DateEvent
July 2016Published
7 June 2016Accepted
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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