Topological defects of dipole patchy particles on a spherical surface
Topological defects of dipole patchy particles on a spherical surface
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球面上偶极斑片粒子的拓扑缺陷
DOI：
10.1039/d0sm00103a
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发表时间：
2020
期刊：
影响因子：
3.4
通讯作者：
Uyen Tu Lieu and Natsuhiko Yoshinaga
中科院分区：
文献类型：
--
作者：
柳沢 直也;谷 茉莉;栗田 玲;Uyen Tu Lieu and Natsuhiko Yoshinaga
我们通过布朗动力学模拟研究了局限于球面上的偶极片状粒子的组装。球形颗粒的表面性质由球谐函数Y10描述，并且颗粒的取向被定义为单轴轴。在平坦空间上，我们观察到一个无缺陷的正方形格，它具有n阶。在球面上，由于拓扑约束，会出现缺陷。对于指向矢场，观察到四个缠绕数为+1/2的缺陷，满足欧拉特性。我们发现四个缺陷的许多组态都位于一个大的圆附近。关于正方形晶格的位置顺序，八个晶界疤痕与球体尺寸线性增殖。八个晶界疤痕的位置和取向与四个+1/2缺陷核心密切相关。
We investigate the assembly of dipole-like patchy particles confined to a spherical surface by Brownian dynamics simulations. The surface property of the spherical particle is described by the spherical harmonic Y10, and the orientation of the particle is defined as the uniaxial axis. On a flat space, we observe a defect-free square lattice with nematic order. On a spherical surface, defects appear due to the topological constraint. As for the director field, four defects of winding number +1/2 are observed, satisfying the Euler characteristic. We have found many configurations of the four defects lying near a great circle. Regarding the positional order for the square lattice, eight grain boundary scars proliferate linearly with the sphere size. The positions and orientations of the eight grain boundary scars are strongly related to the four +1/2 defect cores.