Curved Odd Elasticity
Fuente:
arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866914196881408000 |
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| author | Zhou, Yuan Tsaloukidis, Lazaros Binysh, Jack Chen, Yuchao Fakhri, Nikta Coulais, Corentin Surówka, Piotr |
| author_facet | Zhou, Yuan Tsaloukidis, Lazaros Binysh, Jack Chen, Yuchao Fakhri, Nikta Coulais, Corentin Surówka, Piotr |
| contents | Living materials such as membranes, cytoskeletal assemblies, cell collectives and tissues can often be described as active solids -- materials that are energized from within, with elastic response about a well defined reference configuration. These materials often live in complex and curved manifolds, yet most descriptions of active solids are flat. Here, we explore the interplay between curvature and non-reciprocal elasticity via a covariant effective theory on curved manifolds in combination with numerical simulations. We find that curvature spatially patterns activity, gaps the spectrum, modifies exceptional points and introduces non-Hermitian defect modes. Together these results establish a foundation for hydrodynamic and rheological models on curved manifolds, with direct implications for living matter and active metamaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curved Odd Elasticity Zhou, Yuan Tsaloukidis, Lazaros Binysh, Jack Chen, Yuchao Fakhri, Nikta Coulais, Corentin Surówka, Piotr Soft Condensed Matter Living materials such as membranes, cytoskeletal assemblies, cell collectives and tissues can often be described as active solids -- materials that are energized from within, with elastic response about a well defined reference configuration. These materials often live in complex and curved manifolds, yet most descriptions of active solids are flat. Here, we explore the interplay between curvature and non-reciprocal elasticity via a covariant effective theory on curved manifolds in combination with numerical simulations. We find that curvature spatially patterns activity, gaps the spectrum, modifies exceptional points and introduces non-Hermitian defect modes. Together these results establish a foundation for hydrodynamic and rheological models on curved manifolds, with direct implications for living matter and active metamaterials. |
| title | Curved Odd Elasticity |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2512.11037 |