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arXiv · 2407.19603

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

Ylann Rouzaire·Parisa Rahmani·Ignacio Pagonabarraga·Fernando Peruani·Demian Levis
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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 -- XY and Kuramoto model -- and provides insight on the emergence of order in active systems.

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Ylann Rouzaire, Parisa Rahmani, Ignacio Pagonabarraga, Fernando Peruani, Demian Levis. 2024-07-28. Activity leads to topological phase transition in 2D populations of heterogeneous oscillators. https://arxiv.org/abs/2407.19603

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