ArticleAdvanced science (Weinheim, Baden-Wurttemberg, Germany)2024
Scaling Transition of Active Turbulence from Two to Three Dimensions.
Article in Advanced science (Weinheim, Baden-Wurttemberg, Germany), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed.
- Cell division sets a universal flow geometry in cell layers.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Bacterial turbulence drives interfacial waves and shape dynamics in phase-separated droplets.Nature communications · 2026Article
- Discontinuous transition to active nematic turbulence.Nature communications · 2025Article
- Evidence of universal conformal invariance in living biological matter.Nature physics · 2025Article
- Scaling Transition of Active Turbulence from Two to Three Dimensions.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
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Authors and funding
7 authors.
Funding
Abstract
Turbulent flows are observed in low-Reynolds active fluids, which display similar phenomenology to the classical inertial turbulence but are of a different nature. Understanding the dependence of this new type of turbulence on dimensionality is a fundamental challenge in non-equilibrium physics. Real-space structures and kinetic energy spectra of bacterial turbulence are experimentally measured from two to three dimensions. The turbulence shows three regimes separated by two critical confinement heights, resulting from the competition of bacterial length, vortex size and confinement height. Meanwhile, the kinetic energy spectra display distinct universal scaling laws in quasi-2D and 3D regimes, independent of bacterial activity, length, and confinement height, whereas scaling exponents transition in two steps around the critical heights. The scaling behaviors are well captured by the hydrodynamic model we develop, which employs image systems to represent the effects of confining boundaries. The study suggests a framework for investigating the effect of dimensionality on non-equilibrium self-organized systems.
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Registered trials
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