Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.028005
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Funding
- Swedish Research Council [2015-05449]
- EPSRC [EP/J007404, EP/I004262/1]
- Aide Investissements d'Avenir du LabEx PALM [ANR-10-LABX-0039-PALM]
- Biotechnology and Biological Sciences Research Council [BB/R012415/1] Funding Source: researchfish
- Engineering and Physical Sciences Research Council [EP/I004262/1, EP/J007404/1] Funding Source: researchfish
- BBSRC [BB/R012415/1] Funding Source: UKRI
- EPSRC [EP/J007404/1] Funding Source: UKRI
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In this Letter, we study the collective behavior of a large number of self-propelled microswimmers immersed in a fluid. Using unprecedentedly large-scale lattice Boltzmann simulations, we reproduce the transition to bacterial turbulence. We showthat, even well belowthe transition, swimmersmove in a correlated fashion that cannot be described by a mean-field approach. We develop a novel kinetic theory that captures these correlations and is nonperturbative in the swimmer density. To provide an experimentally accessible measure of correlations, we calculate the diffusivity of passive tracers and reveal its nontrivial density dependence. The theory is in quantitative agreement with the lattice Boltzmann simulations and captures the asymmetry between pusher and puller swimmers below the transition to turbulence.
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