Non-reciprocity across scales in active mixtures

Alberto Dinelli, Jérémy O’Byrne, Agnese Curatolo, Yongfeng Zhao, Peter Sollich and Julien Tailleur ()
Additional contact information
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
Agnese Curatolo: Harvard University
Yongfeng Zhao: Soochow University
Peter Sollich: Georg-August-Universität Göttingen
Julien Tailleur: Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS

Nature Communications, 2023, vol. 14, issue 1, 1-10

Abstract: 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.

Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.nature.com/articles/s41467-023-42713-5 Abstract (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-42713-5

Ordering information: This journal article can be ordered from
https://www.nature.com/ncomms/

DOI: 10.1038/s41467-023-42713-5

Access Statistics for this article

Nature Communications is currently edited by Nathalie Le Bot, Enda Bergin and Fiona Gillespie

More articles in Nature Communications from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().