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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.06755 |
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| _version_ | 1866909776118546432 |
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| author | Liu, Wenyu Xie, Han Du, Yu Li, Baohui Chen, Jeff Z. Y. Li, Yao |
| author_facet | Liu, Wenyu Xie, Han Du, Yu Li, Baohui Chen, Jeff Z. Y. Li, Yao |
| contents | The system of mixed hexagonal and square lattices on a spherical surface is examined, with an emphasis on the exploration of the disclination patterns that form in the square-rich regime. To demonstrate the possible outcomes, the Hertzian potential energy is used as a model for pairwise molecular interactions, which is known to support coexistent hexagonal and square lattices. Through molecular dynamics simulations, we show that at least four different disclination morphologies arise in a square-rich background: triangular defect domains composed of hexagonal lattices arranged in a cubic formation, bridged cubic state, linear scar disclinations with no hexagon content, and open scar disclinations containing a significant amount of hexagonal lattice in the open regions. Order parameters are also introduced to highlight the significance of the bridged and open-scar disclinations, both being the new morphologies reported in this study. The fact that the bridged state is an energetically preferred one is further demonstrated by a separate elastic energy model, which confirms its prevalence over the unbridged cubic state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transitional patterns on a spherical surface: from scars to domain defects of mixed lattices Liu, Wenyu Xie, Han Du, Yu Li, Baohui Chen, Jeff Z. Y. Li, Yao Soft Condensed Matter Statistical Mechanics The system of mixed hexagonal and square lattices on a spherical surface is examined, with an emphasis on the exploration of the disclination patterns that form in the square-rich regime. To demonstrate the possible outcomes, the Hertzian potential energy is used as a model for pairwise molecular interactions, which is known to support coexistent hexagonal and square lattices. Through molecular dynamics simulations, we show that at least four different disclination morphologies arise in a square-rich background: triangular defect domains composed of hexagonal lattices arranged in a cubic formation, bridged cubic state, linear scar disclinations with no hexagon content, and open scar disclinations containing a significant amount of hexagonal lattice in the open regions. Order parameters are also introduced to highlight the significance of the bridged and open-scar disclinations, both being the new morphologies reported in this study. The fact that the bridged state is an energetically preferred one is further demonstrated by a separate elastic energy model, which confirms its prevalence over the unbridged cubic state. |
| title | Transitional patterns on a spherical surface: from scars to domain defects of mixed lattices |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2509.06755 |