Directed percolation transition to active turbulence driven by non-reciprocal forces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912630617145344 |
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| author | Klamser, Juliane U. Berthier, Ludovic |
| author_facet | Klamser, Juliane U. Berthier, Ludovic |
| contents | We numerically study the collective dynamics of dense particle assemblies driven by non-reciprocal pairwise forces of amplitude $κ$. At a critical value $κ_{\rm c}$, the system undergoes a dynamical phase transition from an absorbing state ($κ< κ_{\rm c}$) to a chaotic steady state ($κ> κ_{\rm c}$). The chaotic phase is marked by nontrivial spatiotemporal velocity correlations and mixing, reminiscent of active turbulence in self-propelled systems. The sharp onset of chaos shows critical scaling consistent with the universality class of directed percolation. We argue that this transition is generic to a broad class of locally-driven, dense disordered materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Directed percolation transition to active turbulence driven by non-reciprocal forces Klamser, Juliane U. Berthier, Ludovic Statistical Mechanics Disordered Systems and Neural Networks We numerically study the collective dynamics of dense particle assemblies driven by non-reciprocal pairwise forces of amplitude $κ$. At a critical value $κ_{\rm c}$, the system undergoes a dynamical phase transition from an absorbing state ($κ< κ_{\rm c}$) to a chaotic steady state ($κ> κ_{\rm c}$). The chaotic phase is marked by nontrivial spatiotemporal velocity correlations and mixing, reminiscent of active turbulence in self-propelled systems. The sharp onset of chaos shows critical scaling consistent with the universality class of directed percolation. We argue that this transition is generic to a broad class of locally-driven, dense disordered materials. |
| title | Directed percolation transition to active turbulence driven by non-reciprocal forces |
| topic | Statistical Mechanics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2510.04575 |