Self-organized hyperuniformity in a minimal model of population dynamics
File(s)
Published version
Author(s)
Agranov, Tal
Wiegenfeld, Natan
Karin, Omer
Simons, Benjamin D
Type
Journal Article
Abstract
By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of individuals over a shared resource serves as feedback that can asymptotically guide the population toward a critical steady state with a divergent individual lifetime. We show that, in its spatially extended form, this many-body model exhibits hyperuniform density fluctuations. Through explicit coarse-graining, we develop a hydrodynamic theory that conforms closely with the results of stochastic simulations. Unlike previous models for nonequilibrium hyperuniform states, our model does not exhibit conservation laws, even in the asymptotic regime. Instead, hyperuniformity arises from the divergence of the range of the resource-mediated interactions. These findings may find applications in engineering, cellular population dynamics, and ecology.
Date Issued
2026-09-11
Date Acceptance
2026-06-30
Citation
Physical Review Letters, 2026, 137 (11)
ISSN
0031-9007
Publisher
American Physical Society (APS)
Journal / Book Title
Physical Review Letters
Volume
137
Issue
11
Copyright Statement
Published by the American Physical Society Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
License URL
Publication Status
Published
Article Number
117401
Date Publish Online
2026-09-10