Tensorial Model of Chiral Smectic C Liquid Crystals
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912574778376192 |
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| author | Xia, Jingmin Wu, Jinbing Han, Yucen |
| author_facet | Xia, Jingmin Wu, Jinbing Han, Yucen |
| contents | We propose a continuum tensorial model for chiral smectic C (SmC$^*$) liquid crystals using a tensor-valued order parameter $\mathbf{Q}$ to describe orientational order and a real-valued order parameter $δρ$ to capture layer modulation. This model accounts for the coupled effects of nematic alignment, smectic layering, chirality and spontaneous polarisation inherent in SmC$^*$ systems. The model is validated through a series of numerical experiments -- helix, bistable switching, bookshelf and chevron, and defect in SmC$^*$. Our results highlight the model's capability to describe complex phenomena in SmC$^*$ liquid crystals, providing a robust foundation for further theoretical and applied studies on phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05965 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensorial Model of Chiral Smectic C Liquid Crystals Xia, Jingmin Wu, Jinbing Han, Yucen Soft Condensed Matter We propose a continuum tensorial model for chiral smectic C (SmC$^*$) liquid crystals using a tensor-valued order parameter $\mathbf{Q}$ to describe orientational order and a real-valued order parameter $δρ$ to capture layer modulation. This model accounts for the coupled effects of nematic alignment, smectic layering, chirality and spontaneous polarisation inherent in SmC$^*$ systems. The model is validated through a series of numerical experiments -- helix, bistable switching, bookshelf and chevron, and defect in SmC$^*$. Our results highlight the model's capability to describe complex phenomena in SmC$^*$ liquid crystals, providing a robust foundation for further theoretical and applied studies on phase transitions. |
| title | Tensorial Model of Chiral Smectic C Liquid Crystals |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2509.05965 |