Symmetry-protected phases in a 1D active solid with mechanochemical feedback
Soft Condensed Matter
2026-05-11 v2 Statistical Mechanics
Pattern Formation and Solitons
Biological Physics
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.
Cite
@article{arxiv.2504.19655,
title = {Symmetry-protected phases in a 1D active solid with mechanochemical feedback},
author = {Soumyadeep Mondal and Phanindra Dewan and Lakshman Santhosh Kumar and Sumantra Sarkar},
journal= {arXiv preprint arXiv:2504.19655},
year = {2026}
}
Comments
7 pages (main text), 7 figures