Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909981833428992 |
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| author | Patriarca, Marco Scialla, Stefano Heinsalu, Els Yamakou, Marius E. Cartwright, Julyan H. E. |
| author_facet | Patriarca, Marco Scialla, Stefano Heinsalu, Els Yamakou, Marius E. Cartwright, Julyan H. E. |
| contents | Networks of heterogeneous oscillators are often seen to display collective synchronized oscillations, even when single elements of the network do not oscillate in isolation. It has been found that it is the diversity of the individual elements that drives the phenomenon, possibly leading to the appearance of a resonance in the response. Here we study the way in which heterogeneity acts in producing an oscillatory regime in a network and show that the resonance response is based on the same physics underlying the resonant translocation regime observed in models of polymer diffusion on a substrate potential. Such a mechanical analog provides an alternative viewpoint that is useful to interpret and understand the nature of collective oscillations in heterogeneous networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00900 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance Patriarca, Marco Scialla, Stefano Heinsalu, Els Yamakou, Marius E. Cartwright, Julyan H. E. Biological Physics Statistical Mechanics Adaptation and Self-Organizing Systems Networks of heterogeneous oscillators are often seen to display collective synchronized oscillations, even when single elements of the network do not oscillate in isolation. It has been found that it is the diversity of the individual elements that drives the phenomenon, possibly leading to the appearance of a resonance in the response. Here we study the way in which heterogeneity acts in producing an oscillatory regime in a network and show that the resonance response is based on the same physics underlying the resonant translocation regime observed in models of polymer diffusion on a substrate potential. Such a mechanical analog provides an alternative viewpoint that is useful to interpret and understand the nature of collective oscillations in heterogeneous networks. |
| title | Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance |
| topic | Biological Physics Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2502.00900 |