论文标题
二维十二型准晶体的形成和波动
Formation and Fluctuation of Two-dimensional Dodecagonal Quasicrystal
论文作者
论文摘要
布朗动力学模拟研究了斑块粒子的二维十二烷准晶体(DDQC)的自组装。斑点粒子具有由球形谐波$ y_ {55} $描述的五倍旋转对称模式。从通过退火过程获得的DDQC的形成,我们找到了以下机制。动力学的早期阶段由六边形结构主导。然后,粒子重排出现了十二杆基序的成核,最后,基序扩展了整个系统。从六边形结构到十二杆基序的过渡是通过颗粒的集体合理运动进行的。 DDQC由十二型基序组成,可以将其分类为多个堆积结构。通过在固定温度下对DDQC的分析,我们发现波动的特征是十二杆基序网络的变化。最后,我们比较了从斑块粒子系统和各向同性粒子系统组装的DDQC。这两个系统都具有类似的DDQC形成和波动的机制。
The self-assembly of two-dimensional dodecagonal quasicrystal (DDQC) from patchy particles are investigated by Brownian dynamics simulations. The patchy particle has a five-fold rotational symmetry pattern described by the spherical harmonics $Y_{55}$. From the formation of the DDQC obtained by an annealing process, we find the following mechanism. The early stage of the dynamics is dominated by hexagonal structures. Then, nucleation of dodecagonal motifs appears by particle rearrangement, and finally the motifs expand whole system. The transition from the hexagonal structure into the dodecagonal motif is made by the collective rational motion of the particles. The DDQC consists of clusters of dodecagonal motifs, which can be classified into several packing structures. By the analyses of the DDQC under fixed temperature, we find the fluctuations are characterised by changes in the network of the dodecagonal motifs. Finally we compare the DDQC assembled from the patchy particle system and isotropic particle system. The two systems both share a similar mechanism of the formation and fluctuation of DDQC.