Wave coarsening drives time crystallization in active solids
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arXiv
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| Format: | Preprint |
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2025
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| author | Veenstra, Jonas Binysh, Jack Seinen, Vito Naber, Rutger Robledo-Poisson, Damien Hunt, Andres van Saarloos, Wim Souslov, Anton Coulais, Corentin |
| author_facet | Veenstra, Jonas Binysh, Jack Seinen, Vito Naber, Rutger Robledo-Poisson, Damien Hunt, Andres van Saarloos, Wim Souslov, Anton Coulais, Corentin |
| contents | When metals are magnetized, emulsions phase separate, or galaxies cluster, domain walls and patterns form and irremediably coarsen over time. Such coarsening is universally driven by diffusive relaxation toward equilibrium. Here, we discover an inertial counterpart - wave coarsening - in active elastic media, where vibrations emerge and spontaneously grow in wavelength, period, and amplitude, before a globally synchronized state called a time crystal forms. We observe wave coarsening in one- and two-dimensional solids and capture its dynamical scaling. We further arrest the process by breaking momentum conservation and reveal a far-from-equilibrium nonlinear analogue to chiral topological edge modes. Our work unveils the crucial role of symmetries in the formation of time crystals and opens avenues for the control of nonlinear vibrations in active materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20052 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wave coarsening drives time crystallization in active solids Veenstra, Jonas Binysh, Jack Seinen, Vito Naber, Rutger Robledo-Poisson, Damien Hunt, Andres van Saarloos, Wim Souslov, Anton Coulais, Corentin Soft Condensed Matter Statistical Mechanics Adaptation and Self-Organizing Systems Pattern Formation and Solitons When metals are magnetized, emulsions phase separate, or galaxies cluster, domain walls and patterns form and irremediably coarsen over time. Such coarsening is universally driven by diffusive relaxation toward equilibrium. Here, we discover an inertial counterpart - wave coarsening - in active elastic media, where vibrations emerge and spontaneously grow in wavelength, period, and amplitude, before a globally synchronized state called a time crystal forms. We observe wave coarsening in one- and two-dimensional solids and capture its dynamical scaling. We further arrest the process by breaking momentum conservation and reveal a far-from-equilibrium nonlinear analogue to chiral topological edge modes. Our work unveils the crucial role of symmetries in the formation of time crystals and opens avenues for the control of nonlinear vibrations in active materials. |
| title | Wave coarsening drives time crystallization in active solids |
| topic | Soft Condensed Matter Statistical Mechanics Adaptation and Self-Organizing Systems Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2508.20052 |