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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Joining curves between nano-torus and nanotube: mathematical approaches based on energy minimization
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Joining curves between nano-torus and nanotube: mathematical approaches based on energy minimization

机译：连接纳米圆环和纳米管之间的曲线：基于能量最小化的数学方法

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摘要

Due to a variety of applications of nanoscaled materials, several researchers further investigate a joining between two nanostructures as a candidate for new potential applications. Here, the vertically joining between the nanotube with the nano-torus is investigated. Variational calculus is used to predict the joining curve between two nanostructures based on minimizing the elastic energy. Moreover, Willmore energy is also utilized to determine the join region especially for a three-dimensional structure. Since the surface of a catenoid is a minimizer obtained by the Willmore energy function, it is used to join two symmetric nanostructures. We find that these two approaches have less than 10% difference in the positions of the joining curves. These two methods might be used to design other hybrid nano-scaled structures.
机译：由于纳米材料的各种应用，一些研究人员进一步研究了两种纳米结构之间的连接，作为新潜在应用的候选。本文研究了纳米管与纳米圆环体之间的垂直连接。基于弹性能的最小化，利用变分法预测了两种纳米结构之间的连接曲线。此外，Willmore能量还用于确定连接区域，尤其是对于三维结构。由于链状结构的表面是由Willmore能量函数得到的极小值，因此它被用来连接两个对称的纳米结构。我们发现这两种方法在连接曲线位置上的差异不到10%。这两种方法可用于设计其他混合纳米结构。

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