Meso-scale turbulence in living fluids.

Turbulence is ubiquitous, from oceanic currents to small-scale biological and quantum systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing example of collective dynamical behavior among the simplest forms of life and is important for fluid mixing and molecular tra...

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Main Authors: Wensink, H, Dunkel, J, Heidenreich, S, Drescher, K, Goldstein, R, Löwen, H, Yeomans, J
Format: Journal article
Language:English
Published: 2012
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author Wensink, H
Dunkel, J
Heidenreich, S
Drescher, K
Goldstein, R
Löwen, H
Yeomans, J
author_facet Wensink, H
Dunkel, J
Heidenreich, S
Drescher, K
Goldstein, R
Löwen, H
Yeomans, J
author_sort Wensink, H
collection OXFORD
description Turbulence is ubiquitous, from oceanic currents to small-scale biological and quantum systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing example of collective dynamical behavior among the simplest forms of life and is important for fluid mixing and molecular transport on the microscale. The mathematical characterization of turbulence phenomena in active nonequilibrium fluids proves even more difficult than for conventional liquids or gases. It is not known which features of turbulent phases in living matter are universal or system-specific or which generalizations of the Navier-Stokes equations are able to describe them adequately. Here, we combine experiments, particle simulations, and continuum theory to identify the statistical properties of self-sustained meso-scale turbulence in active systems. To study how dimensionality and boundary conditions affect collective bacterial dynamics, we measured energy spectra and structure functions in dense Bacillus subtilis suspensions in quasi-2D and 3D geometries. Our experimental results for the bacterial flow statistics agree well with predictions from a minimal model for self-propelled rods, suggesting that at high concentrations the collective motion of the bacteria is dominated by short-range interactions. To provide a basis for future theoretical studies, we propose a minimal continuum model for incompressible bacterial flow. A detailed numerical analysis of the 2D case shows that this theory can reproduce many of the experimentally observed features of self-sustained active turbulence.
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spelling oxford-uuid:71282ee6-7ac0-4a52-adc0-099e3cf01cf12022-03-26T19:41:43ZMeso-scale turbulence in living fluids.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:71282ee6-7ac0-4a52-adc0-099e3cf01cf1EnglishSymplectic Elements at Oxford2012Wensink, HDunkel, JHeidenreich, SDrescher, KGoldstein, RLöwen, HYeomans, JTurbulence is ubiquitous, from oceanic currents to small-scale biological and quantum systems. Self-sustained turbulent motion in microbial suspensions presents an intriguing example of collective dynamical behavior among the simplest forms of life and is important for fluid mixing and molecular transport on the microscale. The mathematical characterization of turbulence phenomena in active nonequilibrium fluids proves even more difficult than for conventional liquids or gases. It is not known which features of turbulent phases in living matter are universal or system-specific or which generalizations of the Navier-Stokes equations are able to describe them adequately. Here, we combine experiments, particle simulations, and continuum theory to identify the statistical properties of self-sustained meso-scale turbulence in active systems. To study how dimensionality and boundary conditions affect collective bacterial dynamics, we measured energy spectra and structure functions in dense Bacillus subtilis suspensions in quasi-2D and 3D geometries. Our experimental results for the bacterial flow statistics agree well with predictions from a minimal model for self-propelled rods, suggesting that at high concentrations the collective motion of the bacteria is dominated by short-range interactions. To provide a basis for future theoretical studies, we propose a minimal continuum model for incompressible bacterial flow. A detailed numerical analysis of the 2D case shows that this theory can reproduce many of the experimentally observed features of self-sustained active turbulence.
spellingShingle Wensink, H
Dunkel, J
Heidenreich, S
Drescher, K
Goldstein, R
Löwen, H
Yeomans, J
Meso-scale turbulence in living fluids.
title Meso-scale turbulence in living fluids.
title_full Meso-scale turbulence in living fluids.
title_fullStr Meso-scale turbulence in living fluids.
title_full_unstemmed Meso-scale turbulence in living fluids.
title_short Meso-scale turbulence in living fluids.
title_sort meso scale turbulence in living fluids
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