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Non-reciprocity across scales in active mixtures

Author

Listed:
  • Alberto Dinelli

    (Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS)

  • Jérémy O’Byrne

    (Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS
    University of Cambridge, Centre for Mathematical Sciences)

  • Agnese Curatolo

    (Harvard University)

  • Yongfeng Zhao

    (Soochow University)

  • Peter Sollich

    (Georg-August-Universität Göttingen
    King’s College London)

  • Julien Tailleur

    (Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS
    Massachusetts Institute of Technology)

Abstract

In active matter, particles typically experience mediated interactions, which are not constrained by Newton’s third law and are therefore generically non-reciprocal. Non-reciprocity leads to a rich set of emerging behaviors that are hard to account for starting from the microscopic scale, due to the absence of a generic theoretical framework out of equilibrium. Here we consider bacterial mixtures that interact via mediated, non-reciprocal interactions (NRI) like quorum-sensing and chemotaxis. By explicitly relating microscopic and macroscopic dynamics, we show that, under conditions that we derive explicitly, non-reciprocity may fade upon coarse-graining, leading to large-scale equilibrium descriptions. In turn, this allows us to account quantitatively, and without fitting parameters, for the rich behaviors observed in microscopic simulations including phase separation, demixing, and multi-phase coexistence. We also derive the condition under which non-reciprocity survives coarse-graining, leading to a wealth of dynamical patterns. Again, our analytical approach allows us to predict the phase diagram of the system starting from its microscopic description. All in all, our work demonstrates that the fate of non-reciprocity across scales is a subtle and important question.

Suggested Citation

  • Alberto Dinelli & Jérémy O’Byrne & Agnese Curatolo & Yongfeng Zhao & Peter Sollich & Julien Tailleur, 2023. "Non-reciprocity across scales in active mixtures," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-42713-5
    DOI: 10.1038/s41467-023-42713-5
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    References listed on IDEAS

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