Rounded hard squares confined in a circle
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917480471986176 |
|---|---|
| author | Yuan, Zhongtian Li, Yao |
| author_facet | Yuan, Zhongtian Li, Yao |
| contents | Packing under confinement could generate rich ordered structures through entropic effects, which is a fundamental problem in condensed matter, biophysics and material science. The influence of confinement to the anisotropic hard particles--particularly regarding the emergence of topological defect structures--remains poorly understood. Recent studies have shown that granular rods confined within circular boundaries can cluster into square like super-particles, forming four disclinations. In this study, we employ Monte Carlo simulations in the NPT ensemble to investigate how circular confinement influences the ordered structures of rounded-corner hard-squares with varying roundness. At low roundness, the system forms an integrated cross-shaped domain with tetratic order and four +1/4 disclinations in the corners, along with some column shifts. As roundness increases, we found a new partition structure, where particles self-assemble into six domains separated by six +1/4 disclinations and a central -1/2 disclination. Our findings reveal that the interplay between confinement geometry and colloid shape can drive entropy governed structural transitions, offering new insights for the design of topological metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28609 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rounded hard squares confined in a circle Yuan, Zhongtian Li, Yao Soft Condensed Matter Statistical Mechanics Packing under confinement could generate rich ordered structures through entropic effects, which is a fundamental problem in condensed matter, biophysics and material science. The influence of confinement to the anisotropic hard particles--particularly regarding the emergence of topological defect structures--remains poorly understood. Recent studies have shown that granular rods confined within circular boundaries can cluster into square like super-particles, forming four disclinations. In this study, we employ Monte Carlo simulations in the NPT ensemble to investigate how circular confinement influences the ordered structures of rounded-corner hard-squares with varying roundness. At low roundness, the system forms an integrated cross-shaped domain with tetratic order and four +1/4 disclinations in the corners, along with some column shifts. As roundness increases, we found a new partition structure, where particles self-assemble into six domains separated by six +1/4 disclinations and a central -1/2 disclination. Our findings reveal that the interplay between confinement geometry and colloid shape can drive entropy governed structural transitions, offering new insights for the design of topological metamaterials. |
| title | Rounded hard squares confined in a circle |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2603.28609 |