Hyperuniform Active Matter

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Abstract

Abstract Hyperuniformity in driven disordered systems [1,2] and giant number fluctuations in active matter [3,4] represent opposite ends in a spectrum of statistical correlations found in physical systems outside of thermal equilibrium. Despite both these phenomena representing milestones in our understanding of non-equilibrium physics -- with potential applications ranging from optimal packing patterns and transport in biological matter [5,6] to the fabrication of disordered materials with photonic bandgaps [7-10] --, the possibility of them being connected has remained so far elusive. Using a combination of experimental and theoretical work on active nematic defects, we demonstrate, through the notion of critical absorbing states [11,12], that such a spectrum is in fact closed, and that active matter can in fact be hyperuniform.
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Hyperuniform Active Matter | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Physical Sciences - Article Hyperuniform Active Matter Alberto Fernandez-Nieves, Alexis de la Cotte, Daniel Pearce, Jyothishraj Nambisan, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4292677/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted You are reading this latest preprint version Abstract Hyperuniformity in driven disordered systems [1,2] and giant number fluctuations in active matter [3,4] represent opposite ends in a spectrum of statistical correlations found in physical systems outside of thermal equilibrium. Despite both these phenomena representing milestones in our understanding of non-equilibrium physics -- with potential applications ranging from optimal packing patterns and transport in biological matter [5,6] to the fabrication of disordered materials with photonic bandgaps [7-10] --, the possibility of them being connected has remained so far elusive. Using a combination of experimental and theoretical work on active nematic defects, we demonstrate, through the notion of critical absorbing states [11,12], that such a spectrum is in fact closed, and that active matter can in fact be hyperuniform. Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Statistical physics Physical sciences/Materials science/Soft materials/Liquid crystals Physical sciences/Physics/Condensed-matter physics/Topological matter/Topological defects Physical sciences/Physics/Fluid dynamics Hyperuniformity Active matter Topological defects Full Text Additional Declarations There is NO Competing Interest. Cite Share Download PDF Status: Under Review Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4292677","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":297948689,"identity":"f94b5af2-0196-46e5-9b84-473d8dce79fe","order_by":0,"name":"Alberto 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