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October 10, 20250 citationsOpen Access

Directed percolation transition to active turbulence driven by non-reciprocal forces

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JKJuliane U. KlamserLBLudovic Berthier

Key Points

  • The system transitions from an absorbing state to a chaotic steady state, demonstrating critical scaling behavior.
  • At critical force amplitude, κc, the onset of chaos mirrors characteristics of active turbulence, indicating significant spatiotemporal correlations.
  • Scaling behavior observed is consistent with directed percolation, highlighting the underlying universality in disordered medium dynamics.
  • The findings propose that these transitions are general to a variety of locally-driven and dense material systems.

Abstract

We numerically study the collective dynamics of dense particle assemblies driven by non-reciprocal pairwise forces of amplitude κ. At a critical value κ ₂, the system undergoes a dynamical phase transition from an absorbing state (κ κ ₂). 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.

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Cite This Study

Klamser et al. (2025) studied this question.

synapsesocial.com/papers/68e861857ef2f04ca37e39c6https://doi.org/10.48550/arxiv.2510.04575
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