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

2025/04/28 by Soumyadeep Mondal, Phanindra Dewan, Dewan, Phanindra +4 · 1 voice · 1 citation
Physics and Astronomy · #Biological Physics (physics.bio-ph) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech #nlin.PS #physics.bio-ph

paper · pdf · doi:10.48550/arxiv.2504.19655

arxiv published 2025/04/28 · arxiv updated 2026/07/08

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.

Citations

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Cited by

• Glassy dynamics in active epithelia emerge from an interplay of mechanochemical feedback and crowding

Discussions

• I know a lot, but I know enough to know when I know nothing at all about a specialist field such as cellular biology. I do understand microbiology from a food safety, hygiene and storage standpoint; i [bsky, 0 points, 1 comments]

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