Topology-Driven Ordering of Flocking Matter

When interacting motile units self-organize into flocks, they realize one of the most robust ordered states found in nature. However, after 25 years of intense research, the very mechanism controlling the ordering dynamics of both living and artificial flocks has remained unsettled. Here, combining...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Amélie Chardac, Ludwig A. Hoffmann, Yoann Poupart, Luca Giomi, Denis Bartolo
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/7fa9401bebf2491abad1df3291653af9
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:7fa9401bebf2491abad1df3291653af9
record_format	dspace
spelling	oai:doaj.org-article:7fa9401bebf2491abad1df3291653af92021-12-02T18:53:53ZTopology-Driven Ordering of Flocking Matter10.1103/PhysRevX.11.0310692160-3308https://doaj.org/article/7fa9401bebf2491abad1df3291653af92021-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031069http://doi.org/10.1103/PhysRevX.11.031069https://doaj.org/toc/2160-3308When interacting motile units self-organize into flocks, they realize one of the most robust ordered states found in nature. However, after 25 years of intense research, the very mechanism controlling the ordering dynamics of both living and artificial flocks has remained unsettled. Here, combining active-colloid experiments, numerical simulations, and analytical work, we explain how flocking liquids heal their spontaneous flows initially plagued by collections of topological defects to achieve long-ranged polar order even in two dimensions. We demonstrate that the self-similar ordering of flocking matter is ruled by a living network of domain walls linking all ±1 vortices and guiding their annihilation dynamics. Crucially, this singular orientational structure echoes the formation of extended density patterns in the shape of interconnected bow ties. We establish that this double structure emerges from the interplay between self-advection and density gradients dressing each -1 topological charge with four orientation walls. We then explain how active Magnus forces link all topological charges with extended domain walls, while elastic interactions drive their attraction along the resulting filamentous network of polarization singularities. Taken together, our experimental, numerical, and analytical results illuminate the suppression of all flow singularities and the emergence of pristine unidirectional order in flocking matter.Amélie ChardacLudwig A. HoffmannYoann PoupartLuca GiomiDenis BartoloAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031069 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Amélie Chardac Ludwig A. Hoffmann Yoann Poupart Luca Giomi Denis Bartolo Topology-Driven Ordering of Flocking Matter
description	When interacting motile units self-organize into flocks, they realize one of the most robust ordered states found in nature. However, after 25 years of intense research, the very mechanism controlling the ordering dynamics of both living and artificial flocks has remained unsettled. Here, combining active-colloid experiments, numerical simulations, and analytical work, we explain how flocking liquids heal their spontaneous flows initially plagued by collections of topological defects to achieve long-ranged polar order even in two dimensions. We demonstrate that the self-similar ordering of flocking matter is ruled by a living network of domain walls linking all ±1 vortices and guiding their annihilation dynamics. Crucially, this singular orientational structure echoes the formation of extended density patterns in the shape of interconnected bow ties. We establish that this double structure emerges from the interplay between self-advection and density gradients dressing each -1 topological charge with four orientation walls. We then explain how active Magnus forces link all topological charges with extended domain walls, while elastic interactions drive their attraction along the resulting filamentous network of polarization singularities. Taken together, our experimental, numerical, and analytical results illuminate the suppression of all flow singularities and the emergence of pristine unidirectional order in flocking matter.
format	article
author	Amélie Chardac Ludwig A. Hoffmann Yoann Poupart Luca Giomi Denis Bartolo
author_facet	Amélie Chardac Ludwig A. Hoffmann Yoann Poupart Luca Giomi Denis Bartolo
author_sort	Amélie Chardac
title	Topology-Driven Ordering of Flocking Matter
title_short	Topology-Driven Ordering of Flocking Matter
title_full	Topology-Driven Ordering of Flocking Matter
title_fullStr	Topology-Driven Ordering of Flocking Matter
title_full_unstemmed	Topology-Driven Ordering of Flocking Matter
title_sort	topology-driven ordering of flocking matter
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/7fa9401bebf2491abad1df3291653af9
work_keys_str_mv	AT ameliechardac topologydrivenorderingofflockingmatter AT ludwigahoffmann topologydrivenorderingofflockingmatter AT yoannpoupart topologydrivenorderingofflockingmatter AT lucagiomi topologydrivenorderingofflockingmatter AT denisbartolo topologydrivenorderingofflockingmatter
_version_	1718377336764628992

Topology-Driven Ordering of Flocking Matter

Ejemplares similares