Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms

Active matter exhibits various forms of nonequilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modeled from first principles, and our understanding of their physics relies heavily on minimal models. These are mos...

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Autores principales:	Viktor Škultéty, Cesare Nardini, Joakim Stenhammar, Davide Marenduzzo, Alexander Morozov
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/7d149781a8134d65997488cae59d1bb9
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spelling	oai:doaj.org-article:7d149781a8134d65997488cae59d1bb92021-12-02T11:16:14ZSwimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms10.1103/PhysRevX.10.0310592160-3308https://doaj.org/article/7d149781a8134d65997488cae59d1bb92020-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031059http://doi.org/10.1103/PhysRevX.10.031059https://doaj.org/toc/2160-3308Active matter exhibits various forms of nonequilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modeled from first principles, and our understanding of their physics relies heavily on minimal models. These are mostly studied in the case of “dry” active matter, where particle dynamics are dominated by friction with their surroundings. Significantly less is known about systems with long-range hydrodynamic interactions that belong to “wet” active matter. Dilute suspensions of motile bacteria, modeled as self-propelled dipolar particles interacting solely through long-ranged hydrodynamic fields, are arguably the most studied example from this class of active systems. Their phenomenology is well established: At a sufficiently high density of bacteria, there appear large-scale vortices and jets comprising many individual organisms, forming a chaotic state commonly known as bacterial turbulence. As revealed by computer simulations, below the onset of collective motion, the suspension exhibits very strong correlations between individual microswimmers stemming from the long-ranged nature of dipolar fields. Here, we demonstrate that this phenomenology is captured by the minimal model of microswimmers. We develop a kinetic theory that goes beyond the commonly used mean-field assumption and explicitly takes into account such correlations. Notably, these can be computed exactly within our theory. We calculate the fluid velocity variance, spatial and temporal correlation functions, the fluid velocity spectrum, and the enhanced diffusivity of tracer particles. We find that correlations are suppressed by particle self-propulsion, although the mean-field behavior is not restored even in the limit of very fast swimming. Our theory is not perturbative and is valid for any value of the microswimmer density below the onset of collective motion. This work constitutes a significant methodological advance and allows us to make qualitative and quantitative predictions that can be directly compared to experiments and computer simulations of microswimmer suspensions.Viktor ŠkultétyCesare NardiniJoakim StenhammarDavide MarenduzzoAlexander MorozovAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031059 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Viktor Škultéty Cesare Nardini Joakim Stenhammar Davide Marenduzzo Alexander Morozov Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
description	Active matter exhibits various forms of nonequilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modeled from first principles, and our understanding of their physics relies heavily on minimal models. These are mostly studied in the case of “dry” active matter, where particle dynamics are dominated by friction with their surroundings. Significantly less is known about systems with long-range hydrodynamic interactions that belong to “wet” active matter. Dilute suspensions of motile bacteria, modeled as self-propelled dipolar particles interacting solely through long-ranged hydrodynamic fields, are arguably the most studied example from this class of active systems. Their phenomenology is well established: At a sufficiently high density of bacteria, there appear large-scale vortices and jets comprising many individual organisms, forming a chaotic state commonly known as bacterial turbulence. As revealed by computer simulations, below the onset of collective motion, the suspension exhibits very strong correlations between individual microswimmers stemming from the long-ranged nature of dipolar fields. Here, we demonstrate that this phenomenology is captured by the minimal model of microswimmers. We develop a kinetic theory that goes beyond the commonly used mean-field assumption and explicitly takes into account such correlations. Notably, these can be computed exactly within our theory. We calculate the fluid velocity variance, spatial and temporal correlation functions, the fluid velocity spectrum, and the enhanced diffusivity of tracer particles. We find that correlations are suppressed by particle self-propulsion, although the mean-field behavior is not restored even in the limit of very fast swimming. Our theory is not perturbative and is valid for any value of the microswimmer density below the onset of collective motion. This work constitutes a significant methodological advance and allows us to make qualitative and quantitative predictions that can be directly compared to experiments and computer simulations of microswimmer suspensions.
format	article
author	Viktor Škultéty Cesare Nardini Joakim Stenhammar Davide Marenduzzo Alexander Morozov
author_facet	Viktor Škultéty Cesare Nardini Joakim Stenhammar Davide Marenduzzo Alexander Morozov
author_sort	Viktor Škultéty
title	Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
title_short	Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
title_full	Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
title_fullStr	Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
title_full_unstemmed	Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
title_sort	swimming suppresses correlations in dilute suspensions of pusher microorganisms
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/7d149781a8134d65997488cae59d1bb9
work_keys_str_mv	AT viktorskultety swimmingsuppressescorrelationsindilutesuspensionsofpushermicroorganisms AT cesarenardini swimmingsuppressescorrelationsindilutesuspensionsofpushermicroorganisms AT joakimstenhammar swimmingsuppressescorrelationsindilutesuspensionsofpushermicroorganisms AT davidemarenduzzo swimmingsuppressescorrelationsindilutesuspensionsofpushermicroorganisms AT alexandermorozov swimmingsuppressescorrelationsindilutesuspensionsofpushermicroorganisms
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Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms

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