Symmetry-protected phases in a 1D active solid with mechanochemical feedback
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914540961136640 |
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| author | Mondal, Soumyadeep Dewan, Phanindra Kumar, Lakshman Santhosh Sarkar, Sumantra |
| author_facet | Mondal, Soumyadeep Dewan, Phanindra Kumar, Lakshman Santhosh Sarkar, Sumantra |
| contents | We present a framework for mechanochemical self-organization in active solids where elasticity is reciprocally coupled to Hopf oscillators. Our model reveals a rich landscape of symmetry-protected phases, identified through amplitude equations and group-theoretic analysis. We uncover a universal transition to compression-driven oscillation death (COD), providing a physical basis for localized signaling dampening in biological tissues that resolves inconsistencies in previous models. Our work demonstrates that complex self-organization in active solids can be classified purely through symmetry arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry-protected phases in a 1D active solid with mechanochemical feedback Mondal, Soumyadeep Dewan, Phanindra Kumar, Lakshman Santhosh Sarkar, Sumantra Soft Condensed Matter Statistical Mechanics Pattern Formation and Solitons Biological Physics We present a framework for mechanochemical self-organization in active solids where elasticity is reciprocally coupled to Hopf oscillators. Our model reveals a rich landscape of symmetry-protected phases, identified through amplitude equations and group-theoretic analysis. We uncover a universal transition to compression-driven oscillation death (COD), providing a physical basis for localized signaling dampening in biological tissues that resolves inconsistencies in previous models. Our work demonstrates that complex self-organization in active solids can be classified purely through symmetry arguments. |
| title | Symmetry-protected phases in a 1D active solid with mechanochemical feedback |
| topic | Soft Condensed Matter Statistical Mechanics Pattern Formation and Solitons Biological Physics |
| url | https://arxiv.org/abs/2504.19655 |