Instabilities and Solitons in Minimal Strips
Instabilities and Solitons in Minimal Strips
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最小带中的不稳定性和孤子
DOI：
10.1103/physrevlett.117.017801
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发表时间：
2016
影响因子：
8.6
通讯作者：
Machon T
中科院分区：
文献类型：
--
作者：
Machon T
我们表明，高度扭曲的最小条可以进行非奇异的过渡，不像在莫比乌斯带和悬链中看到的奇异过渡。如果条带是不可定向的，则这种过渡在拓扑上是不成功的，并且所得到的表面包含螺旋缺陷。通过一个受控的解析近似，系统可以映射到一个标量理论上的一个不可定向的线丛的圆，其中的缺陷成为一个拓扑保护的扭结孤子或域壁，从而建立他们的存在极小的表面。肥皂膜的演示证实了这些结果，并显示了如何通过边界变形来控制缺陷的位置。
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 scalartheory 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.