Self-assembly of magnetic balls: from chains to tubes.
Self-assembly of magnetic balls: from chains to tubes.
复制标题
磁球的自组装：从链条到管子。
DOI：
10.1103/physreve.89.011202
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
I. Stanković
中科院分区：
文献类型：
--
作者：
R. Messina;Lara Abou Khalil;I. Stanković
从理论上解决了球形磁铁（磁球）的自组装问题。最小能量结构是通过优化程序以及蒙特卡罗计算机模拟获得的。根据本构磁体 N 的数量，可以获得三种典型的形状。在小 N 的范围内，链以二聚体或三聚体形式稳定（即 N≤3），然后环在偶极子矢量采用涡旋状排列的情况下（4≤N≤13）变得稳定。一个主要发现涉及当 N 足够大（N≥14）时环的堆叠。发现堆叠环的数量随着 N^{2/3} 的增加而增加，从而形成大 N 的管状结构。所有相关的预测形状都是通过操纵毫米磁体在实验上再现的。
The self-assembly of spherical magnets (magnetic balls) is addressed theoretically. Minimal energy structures are obtained by optimization procedures as well as Monte Carlo computer simulations. Three typical shapes are obtained depending on the number of constitutive magnets N. In the regime of small N, chains are stable as dimers or trimers (i.e., N≤3), then rings become stable for (4≤N≤13) where dipole vectors adopt a vortexlike arrangement. A major finding concerns the stacking of rings as soon as N is large enough (N≥14). The number of stacked rings is found to increase as N^{2/3}, leading to a tubular structure at large N. All the relevant predicted shapes are experimentally reproduced by manipulating millimetric magnets.