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In this paper we systematically derive a fourth-order continuum theory capable of reproducing mesoscale turbulence in a three-dimensional suspension of microswimmers. We start from overdamped Langevin equations for a generic microscopic…

Soft Condensed Matter · Physics 2018-06-28 Henning Reinken , Sabine H. L. Klapp , Markus Bär , Sebastian Heidenreich

Active fluids, such as suspensions of microswimmers, are known to self-organize into complex spatio-temporal flow patterns. An intriguing example is mesoscale turbulence, a state of dynamic vortex structures exhibiting a characteristic…

Soft Condensed Matter · Physics 2025-07-02 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

This paper studies the influence of orienting external fields on pattern formation, particularly mesoscale turbulence, in microswimmer suspensions. To this end, we apply a hydrodynamic theory that can be derived from a microscopic…

Soft Condensed Matter · Physics 2019-02-27 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

A collection of microswimmers immersed in an incompressible fluid is characterised by strong interactions due to the long-range nature of the hydrodynamic fields generated by individual organisms. As a result, suspensions of rear-actuated…

Soft Condensed Matter · Physics 2023-12-19 Viktor Škultéty , Dóra Bárdfalvy , Joakim Stenhammar , Cesare Nardini , Alexander Morozov

The macroscopic behavior of dense suspensions of neutrally-buoyant spheres in turbulent plane channel flow is examined. We show that particles larger than the smallest turbulence scales cause the suspension to deviate from the continuum…

Fluid Dynamics · Physics 2016-09-28 Pedro Costa , Francesco Picano , Luca Brandt , Wim-Paul Breugem

The collective motion of microswimmers in suspensions induce patterns of vortices on scales that are much larger than the characteristic size of a microswimmer, attaining a state called bacterial turbulence. Hydrodynamic turbulence acts on…

Fluid Dynamics · Physics 2019-08-02 Moritz Linkmann , Guido Boffetta , M. Cristina Marchetti , Bruno Eckhardt

We explore the mechanism underlying the anomalous rheology of puller-type microswimmer suspensions through direct hydrodynamic simulations. Puller-type swimmers generate contractile flow fields along their swimming direction, leading to…

Soft Condensed Matter · Physics 2025-03-04 Haruki Hayano , Akira Furukawa

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 amongst the simplest…

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

Microswimmers exhibit an intriguing, highly-dynamic collective motion with large-scale swirling and streaming patterns, denoted as active turbulence -- reminiscent of classical high-Reynolds-number hydrodynamic turbulence. Various…

Soft Condensed Matter · Physics 2024-06-03 Kai Qi , Elmar Westphal , Gerhard Gompper , Roland G. Winkler

Active turbulence is a paradigmatic and fascinating example of self-organized motion at large scales occurring in active matter. We employ massive hydrodynamic simulations of suspensions of resolved model microswimmers to tackle the…

Soft Condensed Matter · Physics 2025-03-18 Antonio Gascó , Ignacio Pagonabarraga , Andrea Scagliarini

We combine experiments, large scale simulations and continuum models to study the emergence of coherent structures in a suspension of magnetically driven microrollers sedimented near a floor. Collective hydrodynamic effects are predominant…

Soft Condensed Matter · Physics 2017-08-31 Blaise Delmotte , Michelle Driscoll , Paul Chaikin , Aleksandar Donev

Systems of motile microorganisms exhibit a multitude of collective phenomena, including motility-induced phase separation and turbulence. Sensing of the environment and adaptation of movement plays an essential role in the emergent…

Soft Condensed Matter · Physics 2024-06-26 Segun Goh , Elmar Westphal , Roland G. Winkler , Gerhard Gompper

Self-sustained turbulent structures have been observed in a wide range of living fluids, yet no quantitative theory exists to explain their properties. We report experiments on active turbulence in highly concentrated 3D suspensions of…

Previous particle-based computer simulations have revealed a significantly more pronounced tendency of spontaneous global polar ordering in puller (contractile) microswimmer suspensions than in pusher (extensile) suspensions. We here…

Soft Condensed Matter · Physics 2018-10-23 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

We study a novel phase of active polar fluids, which is characterized by the continuous creation and destruction of dense clusters due to self-sustained turbulence. This state arises due to the interplay of the self-advection of the aligned…

Soft Condensed Matter · Physics 2022-07-12 Vasco M. Worlitzer , Gil Ariel , Avraham Be'er , Holger Stark , Markus Bär , Sebastian Heidenreich

Suspensions of swimming bacteria interact hydrodynamically over long ranges, organizing themselves into collective states that drive large-scale chaotic flows, often referred to as "bacterial turbulence". Despite extensive experimental and…

The measurement of a quantitative and macroscopic parameter to estimate the global motility of a large population of swimming biological cells is a challenge Experiments on the rheology of active suspensions have been performed. Effective…

Soft Condensed Matter · Physics 2014-12-12 Salima Rafai , Levan Jibuti , Philippe Peyla

Biological and artificial microswimmers often self-propel in external flows of vortical nature; relevant examples include algae in small-scale ocean eddies, spermatozoa in uterine peristaltic flows and bacteria in microfluidic devices. A…

Biological Physics · Physics 2022-11-14 Ivan Tanasijevic , Eric Lauga

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

Soft Condensed Matter · Physics 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel
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