Turbulent Dynamics in Active Solids

Fuente: arXiv
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Hauptverfasser: Lie, Wilhelm Sunde, Simonsen, Ingve, Dommersnes, Paul Gunnar
Format: Preprint
Veröffentlicht: 2025
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author Lie, Wilhelm Sunde
Simonsen, Ingve
Dommersnes, Paul Gunnar
author_facet Lie, Wilhelm Sunde
Simonsen, Ingve
Dommersnes, Paul Gunnar
contents Turbulence is most commonly associated with high Reynolds number flow, however the framework of turbulent dynamics has been conceptually extended to many other fields, such as magnetohydrodynamic turbulence, elastic wave turbulence in solids, and more recently to low Reynolds number active turbulence in biological fluids. Here we report a form of solid turbulent dynamics in a self-propelled two-dimensional elastic sheet. We show numerically that the polar ordering dynamics in the active elastic solid model (AES) exhibit hallmark features of turbulent dynamics: power-law scaling of the energy spectrum and non-Gaussian statistics of velocity increments. However, there is no energy cascade, in line with previous findings for active turbulence in fluids. These results extend the concept of active turbulence to solid-state active matter, and can be important for understanding collective dynamics in biological active solids such as bacterial colonies and epithelial cell layers.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02461
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Turbulent Dynamics in Active Solids
Lie, Wilhelm Sunde
Simonsen, Ingve
Dommersnes, Paul Gunnar
Soft Condensed Matter
Turbulence is most commonly associated with high Reynolds number flow, however the framework of turbulent dynamics has been conceptually extended to many other fields, such as magnetohydrodynamic turbulence, elastic wave turbulence in solids, and more recently to low Reynolds number active turbulence in biological fluids. Here we report a form of solid turbulent dynamics in a self-propelled two-dimensional elastic sheet. We show numerically that the polar ordering dynamics in the active elastic solid model (AES) exhibit hallmark features of turbulent dynamics: power-law scaling of the energy spectrum and non-Gaussian statistics of velocity increments. However, there is no energy cascade, in line with previous findings for active turbulence in fluids. These results extend the concept of active turbulence to solid-state active matter, and can be important for understanding collective dynamics in biological active solids such as bacterial colonies and epithelial cell layers.
title Turbulent Dynamics in Active Solids
topic Soft Condensed Matter
url https://arxiv.org/abs/2510.02461