Non-reciprocity across scales in active mixtures

Fuente: arXiv
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Autori principali: Dinelli, Alberto, O'Byrne, Jérémy, Curatolo, Agnese, Zhao, Yongfeng, Sollich, Peter, Tailleur, Julien
Natura: Preprint
Pubblicazione: 2022
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author Dinelli, Alberto
O'Byrne, Jérémy
Curatolo, Agnese
Zhao, Yongfeng
Sollich, Peter
Tailleur, Julien
author_facet Dinelli, Alberto
O'Byrne, Jérémy
Curatolo, Agnese
Zhao, Yongfeng
Sollich, Peter
Tailleur, Julien
contents In active matter, the lack of momentum conservation makes non-reciprocal interactions the rule rather than the exception. They lead to a rich set of emerging behaviors that are hard to account for and to predict 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 like quorum-sensing and chemotaxis. By explicity relating microscopic and macroscopic dynamics, we show that non-reciprocity may fade as coarse-graining proceeds, leading to large-scale bona fide equilibrium descriptions. In turns, this allows us to account quantitatively, and without fitting parameters, for the rich behaviors observed in microscopic simulations including phase separation, demixing or multi-phase coexistence. We also derive the condition under which non-reciprocity is strong enough to survive coarse-graining, leading to a wealth of dynamical patterns. Again, the explicit coarse-graining of the dynamics 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.
format Preprint
id arxiv_https___arxiv_org_abs_2203_07757
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Non-reciprocity across scales in active mixtures
Dinelli, Alberto
O'Byrne, Jérémy
Curatolo, Agnese
Zhao, Yongfeng
Sollich, Peter
Tailleur, Julien
Statistical Mechanics
Soft Condensed Matter
In active matter, the lack of momentum conservation makes non-reciprocal interactions the rule rather than the exception. They lead to a rich set of emerging behaviors that are hard to account for and to predict 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 like quorum-sensing and chemotaxis. By explicity relating microscopic and macroscopic dynamics, we show that non-reciprocity may fade as coarse-graining proceeds, leading to large-scale bona fide equilibrium descriptions. In turns, this allows us to account quantitatively, and without fitting parameters, for the rich behaviors observed in microscopic simulations including phase separation, demixing or multi-phase coexistence. We also derive the condition under which non-reciprocity is strong enough to survive coarse-graining, leading to a wealth of dynamical patterns. Again, the explicit coarse-graining of the dynamics 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.
title Non-reciprocity across scales in active mixtures
topic Statistical Mechanics
Soft Condensed Matter
url https://arxiv.org/abs/2203.07757