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In this paper we study a mathematical model of one-dimensional swimmers performing a planar motion while fully immersed in a viscous fluid. The swimmers are assumed to be of small size, and all inertial effects are neglected. Hydrodynamic…

Optimization and Control · Mathematics 2014-04-25 Gianni Dal Maso , Antonio DeSimone , Marco Morandotti

Microswimmers are encountered in a wide variety of biophysical settings. When interacting with flow fields, they show interesting dynamical features such as trapping, clustering, and preferential orientation. One important step towards the…

Fluid Dynamics · Physics 2020-10-02 José-Agustín Arguedas-Leiva , Michael Wilczek

We study different types of microswimmers moving in channels with varying cross section and thereby interacting hydrodynamically with the channel walls. Starting from the Smoluchowski equation for a dilute suspension, for which interactions…

Soft Condensed Matter · Physics 2017-05-24 Paolo Malgaretti , Holger Stark

Motile and driven particles confined in microfluidic channels exhibit interesting emergent behavior from propagating density bands to density shock waves. A deeper understanding of the physical mechanisms responsible for these emergent…

Fluid Dynamics · Physics 2016-02-03 Alan Cheng Hou Tsang , Eva Kanso

Swimming in circles occurs in a variety of situations at low Reynolds number. Here we propose a simple model for a swimmer that undergoes circular motion, generalising the model of a linear swimmer proposed by Najafi and Golestanian (Phys.…

Soft Condensed Matter · Physics 2012-07-16 Rodrigo Ledesma-Aguilar , Hartmut Loewen , Julia M. Yeomans

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

Fluid Dynamics · Physics 2024-10-10 Adam K. Townsend , Eric E. Keaveny

Suspensions of swimming micro-organisms are known to undergo intricate collective dynamics as a result of hydrodynamic and collision interactions. Micro-swimmers, such as bacteria and micro-algae, naturally live and have evolved in complex…

Fluid Dynamics · Physics 2025-10-31 Yasser Almoteri , Enkeleida Lushi

Geometric confinements are frequently encountered in the biological world and strongly affect the stability, topology, and transport properties of active suspensions in viscous flow. Based on a far-field analytical model, the…

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

We introduce the pushy random walk, where a walker can push multiple obstacles, thereby penetrating large distances in environments with finite obstacle density. This process provides a minimal model for experimentally observed interactions…

Statistical Mechanics · Physics 2026-04-07 Ofek Lauber Bonomo , Itamar Shitrit , Shlomi Reuveni , Sidney Redner

We use boundary element simulations to study the interaction of model microswimmers with a neutrally buoyant spherical particle. The ratio of the size of the particle to that of the swimmer is varied from $R^\mathrm{P} / R^\mathrm{S} \ll…

Soft Condensed Matter · Physics 2017-11-01 Henry Shum , Julia M. Yeomans

We discuss the path of a tracer particle as a microswimmer moves past on an infinite straight trajectory. If the tracer is sufficiently far from the path of the swimmer it moves in a closed loop. As the initial distance between the tracer…

Fluid Dynamics · Physics 2013-07-26 Dmitri O. Pushkin , Henry Shum , Julia M. Yeomans

From bacteria and sperm cells to artificial microrobots, self-propelled microscopic objects at low Reynolds numbers often perceive fluctuating mechanical and chemical stimuli and contact exterior wall boundaries both in nature and the…

Soft Condensed Matter · Physics 2023-12-22 Yoshiki Hiruta , Kenta Ishimoto

The microalga Chlamydomonas Reinhardtii (CR) is used here as a model system to study the effect of complex environments on the swimming of micro-organisms. Its motion can be modelled by a run and tumble mechanism so that it describes a…

Soft Condensed Matter · Physics 2019-03-27 Marvin Brun-Cosme-Bruny , Eric Bertin , Benoît Coasne , Philippe Peyla , Salima Rafaï

Achieving macroscopic directed migration of microscale swimmers in a fluid is an important step towards utilizing their autonomous motion. It has been experimentally shown that directed motion can be induced, without any external fields, by…

Soft Condensed Matter · Physics 2017-09-14 Jiajun Tong , Michael J. Shelley

It has been shown that an anisotropic liquid crystalline (LC) environment can be used to guide the self-propulsion dynamics of dispersed microswimmers, such as bacteria. This type of composite system is named "living nematic" (LN). In the…

Soft Condensed Matter · Physics 2025-05-29 Zeyang Mou , Yuan Li , Zhihong You , Rui Zhang

Self-propelled micron-size particles suspended in a fluid, like bacteria or synthetic microswimmers, are strongly non-equilibrium systems where particle motility breaks the microscopic detailed balance, often resulting in large-scale…

Soft Condensed Matter · Physics 2024-03-15 Dóra Bárdfalvy , Viktor Škultéty , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

We report on dynamic properties of a simple model microswimmer composed of three spheres and propelling itself in a viscous fluid by spinning motion of the spheres under zero net torque constraint. At a fixed temperature and increasing the…

Fluid Dynamics · Physics 2008-05-08 Vladimir Lobaskin , Dmitry Lobaskin , Igor M. Kulic

Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the…

Soft Condensed Matter · Physics 2010-10-13 Jörn Dunkel , Irwin M. Zaid

Microswimmers are often found in heterogeneous and crowded environments within narrow conduits under external flow conditions, enabling them to perform interesting translational and rotational maneuvers, such as swimming in the upstream…

Soft Condensed Matter · Physics 2026-05-26 Margam Ramprasad , Shubhadeep Mandal , Pallab Sinha Mahapatra