Instabilities and Solitons in Minimal Strips.
Phys Rev Lett
; 117(1): 017801, 2016 Jul 01.
Article
em En
| MEDLINE
| ID: mdl-27419593
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 Ï^{4} 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.
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MEDLINE
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En
Ano de publicação:
2016
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Article