Activity Leads to Topological Phase Transition in 2D Populations of Heterogeneous Oscillators

Populations of heterogeneous, noisy oscillators on a two-dimensional lattice display short-range order. Here, we show that if the oscillators are allowed to actively move in space, the system undergoes instead a Berezenskii-Kosterlitz-Thouless transition and exhibits quasi-long-range order. This fundamental result connects two paradigmatic models-the XY and Kuramoto models-and provides insight into the emergence of order in active systems.

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Publication Details

Journal
Physical Review Letters
Published
2025-05-06
DOI
https://doi.org/10.1103/physrevlett.134.188301
Citations
1
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
1.49

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article

Activity Leads to Topological Phase Transition in 2D Populations of Heterogeneous Oscillators

Ignacio Pagonabarraga, Demian Levis, Ylann Rouzaire, Fernando Peruani et al.
1 citations
Physical Review Letters
Nonlinear Dynamics and Pattern Formation
1.49
article

Activity Leads to Topological Phase Transition in 2D Populations of Heterogeneous Oscillators

Ignacio Pagonabarraga, Demian Levis, Ylann Rouzaire, Fernando Peruani, Parisa Rahmani
article en
1 citations

Abstract

Populations of heterogeneous, noisy oscillators on a two-dimensional lattice display short-range order. Here, we show that if the oscillators are allowed to actively move in space, the system undergoes instead a Berezenskii-Kosterlitz-Thouless transition and exhibits quasi-long-range order. This fundamental result connects two paradigmatic models-the XY and Kuramoto models-and provides insight into the emergence of order in active systems.

Physical Review LettersVol. 134(18)
Laboratoire de Physique Théorique et Modélisation (FR), Universitat de Barcelona (ES)
Ministerio de Ciencia, Innovación y Universidades, Agence Nationale de la Recherche, Generalitat de Catalunya, Institució Catalana de Recerca i Estudis Avançats, Labex, Departament d'Universitats, Recerca i Societat de la Informació, European Regional Development Fund, Agencia Estatal de Investigación
Climate action
Openalex Percentile: Top 18%
Nonlinear Dynamics and Pattern Formation
1.49
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Activity Leads to Topological Phase Transition in 2D Populations of Heterogeneous Oscillators — Ignacio Pagonabarraga, Demian Levis, et al. · Physical Review Letters (2025) | TGRS Research Map | TGRS