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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/228509

Activity leads to topological phase transition in 2D populations of heterogeneous oscillators

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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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ROUZAIRE, Ylann, et al. Activity leads to topological phase transition in 2D populations of heterogeneous oscillators. Physical Review Letters. 2025. Vol. 134, num. 1-6. ISSN 0031-9007. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/228509

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