标题： 竞争的六边形和正方形晶格在球面表面上 显示英文标题

标题： Competing Hexagonal and Square Lattices on a Spherical Surface

摘要： 包装软核粒子的结构特性提供了一个平台，以理解固态物理和软物质物理中的交叉物理概念。 受限于球面，传统的微分几何也决定了在原本规则的晶体晶格中的整体缺陷特性。 使用赫兹模型的分子动力学模拟作为工具，我们在这里报告了当六边形和正方形图案共存时出现的新类型的位错模式：畴和反畴缺陷。 提出了一种新的角度来理解铺砌晶格形状与可用球面面积形状之间的不相容性，这在自然界中很常见——从生物中的分子系统到建筑中的骨架结构。 显示英文摘要

摘要： The structural properties of packed soft-core particles provide a platform to understand the cross-pollinated physical concepts in solid-state- and soft-matter physics. Confined on spherical surface, the traditional differential geometry also dictates the overall defect properties in otherwise regular crystal lattices. Using molecular dynamics simulation of the Hertzian model as a tool, we report here the emergence of new types of disclination patterns: domain and counter-domain defects, when hexagonal and square patterns coexist. A new angle is presented to understand the incompatibility between tiling lattice shapes and the available spherical areal shapes, which is common in nature -- from molecular systems in biology to backbone construction in architectures.