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Wisdom has recently unveiled a new relativistic effect, called ``spacetime swimming'', where quasi-rigid free bodies in curved spacetimes can "speed up", "slow down" or "deviate" their falls by performing "local" cyclic shape deformations.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eduardo Gueron , Clovis A. S. Maia , George E. A. Matsas

A recent promising technique for robotic micro-swimmers is to endow them with a magnetization and apply an external magnetic field to provoke their deformation. In this note we consider a simple planar micro-swimmer model made of two…

Optimization and Control · Mathematics 2017-07-04 Laetitia Giraldi , Jean-Baptiste Pomet

An optimal microswimmer with a given geometry has a surface velocity profile that minimizes energy dissipation for a given swimming speed. An axisymmetric swimmer can be puller-, pusher-, or neutral-type depending on the sign of the…

Fluid Dynamics · Physics 2024-10-08 Rafe Md Abu Zayed , Arezoo M. Ardekani , Amir Nourhani

Micro-organisms expend energy moving through complex media. While propulsion speed is an important property of locomotion, efficiency is another factor that may determine the swimming gait adopted by a micro-organism in order to locomote in…

Fluid Dynamics · Physics 2017-12-14 Herve Nganguia , Kyle Pietrzyk , On Shun Pak

Swimming in curved spacetimes is a phenomenon whereby free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. When originally proposed, it was further suggested that, in the limit of fast…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Rodrigo Andrade e Silva

We examine swimmers comprising of two rigid spheres which oscillate periodically along their axis of symmetry, considering both when the oscillation is in phase and anti-phase, and study the effects of fluid viscoelasticity on their net…

Fluid Dynamics · Physics 2018-09-13 Charu Datt , Babak Nasouri , Gwynn J. Elfring

As the length scales of the smallest technology continue to advance beyond the micron scale it becomes increasingly important to equip robotic components with the means for intelligent and autonomous decision making with limited…

Soft Condensed Matter · Physics 2022-09-08 Paul A. Monderkamp , Fabian Jan Schwarzendahl , Michael A. Klatt , Hartmut Löwen

Artificial microswimmers, nano and microrobots, are essential in many applications from engineering to biology and medicine. We present a Stokesian Dynamics study of the dynamical properties and efficiency of one of the simplest artificial…

Soft Condensed Matter · Physics 2022-03-04 I. Berdakin , V. I. Marconi , Adolfo J. Banchio

Micro-robotics at low Reynolds number has been a growing area of research over the past decade. We propose and study a generalized 3-link robotic swimmer inspired by the planar Purcell's swimmer. By incorporating out-of-plane motion of the…

Robotics · Computer Science 2017-11-15 Sudin Kadam , Ravi Banavar

Micro-organisms usually can swim in their liquid environment by flagellar or ciliary beating. In this numerical work, we analyze the influence of flagellar beating on the orbits of a swimming cell in a shear flow. We also calculate the…

Soft Condensed Matter · Physics 2017-11-21 Levan Jibuti , Walter Zimmermann , Salima Rafaï , Philippe Peyla

The concept of swim pressure quantifies the average force exerted by microswimmers on confining walls in non-equilibrium. Here we explore how the swim pressure depends on the wall curvature and on the presence of sharp corners in the wall.…

Soft Condensed Matter · Physics 2015-10-02 Frank Smallenburg , Hartmut Löwen

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

Most large-scale planetary magnetic fields are thought to be driven by low Rossby number convection of a low magnetic Prandtl number fluid. Here kinematic dynamo action is investigated with an asymptotic, rapidly rotating dynamo model for…

Geophysics · Physics 2016-12-14 Michael A. Calkins , Louie Long , David Nieves , Keith Julien , Steven M. Tobias

In this letter we propose a kinematic model to show how collisions with a surface and rotational Brownian motion give rise to the accumulation of micro-swimmers near a surface. In this model, an elongated microswimmer invariably travels…

Biological Physics · Physics 2008-12-23 Guanglai Li , Jay X. Tang

We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming…

Soft Condensed Matter · Physics 2023-05-23 Yuval Shoham , Naomi Oppenheimer

We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipette inserted into the flow. We solve the governing evolution…

Biological Physics · Physics 2014-08-21 Kiori Obuse , Jean-Luc Thiffeault

The hydrodynamic interactions between a sedimenting microswimmer and a solid wall have ubiquitous biological and technological applications. A plethora of gravity-induced swimming dynamics near a planar no-slip wall provides a platform for…

Soft Condensed Matter · Physics 2025-05-14 Henry Shum , Devenayagam Palaniappan , Yuan-Nan Young

The net steady state flow pattern of a distorting sphere is studied in the framework of the bilinear theory of swimming at low Reynolds number. It is argued that the starting point of a theory of interacting active particles should be based…

Fluid Dynamics · Physics 2015-05-20 B. U. Felderhof

Self-propelled microparticles create flow fields that determine how they interact with surfaces, external flows, and each other. These flow fields fall into distinct classes--pushers, pullers, and neutral swimmers--each exhibiting…

Soft Condensed Matter · Physics 2025-12-25 Lisa Rohde , Gordei Anchutkin , Viktor Holubec , Frank Cichos

Many microorganisms swim through gels and non-Newtonian fluids in their natural environments. In this paper, we focus on microorganisms which use flagella for propulsion. We address how swimming velocities are affected in nonlinearly…

Biological Physics · Physics 2010-04-07 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers
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