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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.01270 |
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| _version_ | 1866910771227656192 |
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| author | Xie, Han Liu, Wenyu Lu, Zhenyue Chen, Jeff Z. Y. Li, Yao |
| author_facet | Xie, Han Liu, Wenyu Lu, Zhenyue Chen, Jeff Z. Y. Li, Yao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Competing Hexagonal and Square Lattices on a Spherical Surface Xie, Han Liu, Wenyu Lu, Zhenyue Chen, Jeff Z. Y. Li, Yao Soft Condensed Matter Statistical Mechanics Biological Physics 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. |
| title | Competing Hexagonal and Square Lattices on a Spherical Surface |
| topic | Soft Condensed Matter Statistical Mechanics Biological Physics |
| url | https://arxiv.org/abs/2501.01270 |