ArticleNature communications2022
Hyperuniformity and phase enrichment in vortex and rotor assemblies.
Article in Nature communications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Emergent Synchronization and Self-Organization of Autonomous Nanospinners.Nano letters · 2026Article
- Orientation-Modulated Hyperuniformity in Frustrated Vicsek-Kuramoto Systems.Entropy (Basel, Switzerland) · 2026Article
- Hidden order in active nematic defects.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- A geometric condition for robot-swarm cohesion and cluster-flock transition.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Nonequilibrium hyperuniform states in active turbulence.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- How does a hyperuniform fluid freeze?Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Hydrodynamic spin-orbit coupling in asynchronous optically driven micro-rotors.Nature communications · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such rotors are found in the natural world spanning vastly disparate length scales - from the rotor proteins in cellular membranes to models of atmospheric dynamics. Here we show that an initially random distribution of either driven rotors in a viscous membrane, or ideal vortices with minute perturbations, spontaneously self assemble into a distinct arrangement. Despite arising from drastically different physics, these systems share a Hamiltonian structure that sets geometrical conservation laws resulting in prominent structural states. We find that the rotationally invariant interactions isotropically suppress long-wavelength fluctuations - a hallmark of a disordered hyperuniform material. With increasing area fraction, the system orders into a hexagonal lattice. In mixtures of two co-rotating populations, the stronger population will gain order from the other and both will become phase enriched. Finally, we show that classical 2D point vortex systems arise as exact limits of the experimentally accessible microscopic membrane rotors, yielding a new system through which to study topological defects.
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Registered trials
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