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arXiv · 2504.19655

Symmetry-protected phases in a 1D active solid with mechanochemical feedback

Soumyadeep Mondal·Phanindra Dewan·Lakshman Santhosh Kumar·Sumantra Sarkar
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Abstract

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.

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Soumyadeep Mondal, Phanindra Dewan, Lakshman Santhosh Kumar, Sumantra Sarkar. 2025-04-28. Symmetry-protected phases in a 1D active solid with mechanochemical feedback. https://doi.org/10.1103/p1bw-v87g

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