Activity leads to topological phase transition in 2D populations of heterogeneous oscillators
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916657531715584 |
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| author | Rouzaire, Ylann Rahmani, Parisa Pagonabarraga, Ignacio Peruani, Fernando Levis, Demian |
| author_facet | Rouzaire, Ylann Rahmani, Parisa Pagonabarraga, Ignacio Peruani, Fernando Levis, Demian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Activity leads to topological phase transition in 2D populations of heterogeneous oscillators Rouzaire, Ylann Rahmani, Parisa Pagonabarraga, Ignacio Peruani, Fernando Levis, Demian Statistical Mechanics 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. |
| title | Activity leads to topological phase transition in 2D populations of heterogeneous oscillators |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.19603 |