Stability of two-dimensional soft quasicrystals in systems with twolength scales
Stability of two-dimensional soft quasicrystals in systems with twolength scales
复制标题
双尺度系统中二维软准晶的稳定性
DOI：
10.1103/physreve.92.042159
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发表时间：
2015
影响因子：
2.4
通讯作者：
An-Chang Shi
中科院分区：
文献类型：
--
作者：
蒋凯;Jiajun Tong;Pingwen Zhang;An-Chang Shi
使用最近开发的投影方法检查了具有两个长度尺度的系统中二维软准晶体的相对稳定性，该方法提供了一个统一的数值框架来计算周期性晶体和准晶体的自由能。通过一个简单的模型，即具有两个长度尺度的软准晶的 Lifshitz-Petrich 自由能泛函，获得了许多有序相（包括十二角形、十角形和八角形准晶体）的准确自由能。自由能的可用性使我们能够构建系统的相图，证明对于 Lifshitz-Petrich 模型，十二角形和十角形准晶可以成为稳定相，而八角形准晶保持亚稳定相。
The relative stability of two-dimensional soft quasicrystals in systems with two length scales is examined using a recently developed projection method, which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate free energies of numerous ordered phases, including dodecagonal, decagonal, and octagonal quasicrystals, are obtained for a simple model, i.e., the Lifshitz-Petrich free-energy functional, of soft quasicrystals with two length scales. The availability of the free energy allows us to construct phase diagrams of the system, demonstrating that, for the Lifshitz-Petrich model, the dodecagonal and decagonal quasicrystals can become stable phases, whereas the octagonal quasicrystal stays as a metastable phase.