2023
DOI: 10.1017/jfm.2023.850
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Interplay between Brownian and hydrodynamic tracer diffusion in suspensions of swimming microorganisms

Henrik Nordanger,
Alexander Morozov,
Joakim Stenhammar

Abstract: The general problem of tracer diffusion in non-equilibrium baths is important in a wide range of systems, from the cellular level to geographical length scales. In this paper, we revisit the archetypical example of such a system: a collection of small passive particles immersed in a dilute suspension of non-interacting dipolar microswimmers, representing bacteria or algae. In particular, we consider the interplay between thermal (Brownian) diffusion and hydrodynamic (active) diffusion due to the persistent adv… Show more

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“…7 Interactions with multiple swimmers randomize these displacements, generating diffusive mixing. 4,6,8,[27][28][29] Effective diffusion coefficients 30,31 and probability distributions 32,33 of displacements for fluid elements interacting with multiple swimmers have been predicted in inviscid and highly viscous fluids based on analysis of the Lagrangian displacement of the fluid elements far from the swimmers. Furthermore, fluid elements close to passing swimmers can be entrained by the swimmer and move over significant distances that diverge for head-on collisions.…”
Section: Introductionmentioning
confidence: 99%
“…7 Interactions with multiple swimmers randomize these displacements, generating diffusive mixing. 4,6,8,[27][28][29] Effective diffusion coefficients 30,31 and probability distributions 32,33 of displacements for fluid elements interacting with multiple swimmers have been predicted in inviscid and highly viscous fluids based on analysis of the Lagrangian displacement of the fluid elements far from the swimmers. Furthermore, fluid elements close to passing swimmers can be entrained by the swimmer and move over significant distances that diverge for head-on collisions.…”
Section: Introductionmentioning
confidence: 99%