ArticleScience advances2022
Order and information in the patterns of spinning magnetic micro-disks at the air-water interface.
Article in Science advances, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
What it found
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Who cites it
20 citing papers in PubMed.
- Three-dimensional reconfigurable magnetic microswarms with boundary-transcending capabilities.Science advances · 2026Article
- Collective Motion and Programmable Self-Organization of Rotating Active Particles Manipulated by Magnetic Fields.Micromachines · 2026Article
- Emergent and controllable behaviors of Janus swarmalator collectives.Nature communications · 2026Article
- Fluidic torque-enabled object manipulation by microrobot collectives.Science advances · 2026Article
- Recent Advances in Collective Behaviors of Micro/Nanomotor Swarms.Advanced materials (Deerfield Beach, Fla.) · 2026Review
- Wireless nonresonant stimulation of neurons on a magnetoelectric film surface.Science advances · 2025Article
- Surface Rolling Active Magnetic Emulsions.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Emergent functional dynamics of link-bots.Science advances · 2025Article
- Granular metamaterials with dynamic bond reconfiguration.Science advances · 2024Article
- Complexity and entropy of natural patterns.PNAS nexus · 2024Article
- Femtosecond laser writing of ant-inspired reconfigurable microbot collectives.Nature communications · 2024Article
- Observation of a chemical reaction in a levitating microdroplet cluster and droplet-generated music.Chemical science · 2024Article
- Synchronous and Fully Steerable Active Particle Systems for Enhanced Mimicking of Collective Motion in Nature.Advanced materials (Deerfield Beach, Fla.) · 2024Article
- Light-stimulated micromotor swarms in an electric field with accurate spatial, temporal, and mode control.Science advances · 2023Article
- On-Demand Breaking of Action-Reaction Reciprocity between Magnetic Microdisks Using Global Stimuli.Physical review letters · 2023Article
- Entropy by Neighbor Distance as a New Measure for Characterizing Spatiotemporal Orders in Microscopic Collective Systems.Micromachines · 2023Article
- Programmable self-organization of heterogeneous microrobot collectives.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Diverse behaviors in non-uniform chiral and non-chiral swarmalators.Nature communications · 2023Article
- Microrobot collectives with reconfigurable morphologies, behaviors, and functions.Nature communications · 2022Article
- Microscopic Swarms: From Active Matter Physics to Biomedical and Environmental Applications.Micromachines · 2022Review
Corrections and comments
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Authors and funding
12 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The application of the Shannon entropy to study the relationship between information and structures has yielded insights into molecular and material systems. However, the difficulty in directly observing and manipulating atoms and molecules hampers the ability of these systems to serve as model systems for further exploring the links between information and structures. Here, we use, as a model experimental system, hundreds of spinning magnetic micro-disks self-organizing at the air-water interface to generate various spatiotemporal patterns with varying degrees of order. Using the neighbor distance as the information-bearing variable, we demonstrate the links among information, structure, and interactions. We establish a direct link between information and structure without using explicit knowledge of interactions. Last, we show that the Shannon entropy by neighbor distances is a powerful observable in characterizing structural changes. Our findings are relevant for analyzing natural self-organizing systems and for designing collective robots.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.