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For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to…

微分几何 · 数学 2014-12-01 Florian Besau , Elisabeth Werner

The paper presents a two-phase hydrodynamic model for the numerical simulation of collective motion in a thin layer of active colloids containing spherical microswimmers. The model accounts for three fundamental mechanisms governing the…

软凝聚态物质 · 物理学 2025-12-10 A. Kiverin , S. Luguev , I. Yakovenko

The paper is about the parking 3-sphere swimmer ($\text{sPr}_3$). This is a low-Reynolds number model swimmer composed of three balls of equal radii. The three balls can move along three horizontal axes (supported in the same plane) that…

最优化与控制 · 数学 2016-10-18 François Alouges , Giovanni Di Fratta

Microscopic swimmers, e.g., chemotactic bacteria and cells, are capable of directed motion by exerting a force on their environment. For asymmetric microswimmers, e.g., bacteria, spermatozoa and many artificial active colloidal particles, a…

软凝聚态物质 · 物理学 2013-07-09 Mite Mijalkov , Giovanni Volpe

Swelling is a volumetric-growth process in which a porous material expands by spontaneous imbibition of additional pore fluid. Swelling is distinct from other growth processes in that it is inherently poromechanical: Local expansion of the…

软凝聚态物质 · 物理学 2025-05-13 Thibault Bertrand , Jorge Peixinho , Shomeek Mukhopadhyay , Christopher W. MacMinn

We characterize the full spatiotemporal gait of populations of swimming {\it Escherichia coli} using renewal processes to analyze the measurements of intermediate scattering functions. This allows us to demonstrate quantitatively how the…

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the collective motion of model swimmers in confinement. We show that certain swimming mechanisms can lead to traveling wave-like collective motion even…

软凝聚态物质 · 物理学 2016-04-20 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

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…

软凝聚态物质 · 物理学 2010-10-13 Jörn Dunkel , Irwin M. Zaid

Flagella are hair-like appendages attached to microorganisms that allow the organisms to traverse their fluid environment. The algae Volvox are spherical swimmers with thousands of individual flagella on their surface and their coordination…

流体动力学 · 物理学 2020-10-07 Forest Mannan , Miika Jarvela , Karin Leriderman

The mobility of particles in fluid membranes is a fundamental aspect of many biological processes. In a 1975 paper [1], Saffman and Delbr\"uck demonstrated how the presence of external Stokesian solvents is crucial in regularising the…

生物物理 · 物理学 2025-01-10 Marco Vona , Eric Lauga

In a set of experiments, Couder et. al. demonstrate that an oscillating fluid bed may propagate a bouncing droplet through the guidance of the surface waves. We present a dynamical systems model, in the form of an iterative map, for a…

混沌动力学 · 物理学 2015-06-04 David Shirokoff

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…

软凝聚态物质 · 物理学 2023-12-22 Yoshiki Hiruta , Kenta Ishimoto

Many microorganisms live and evolve in complex fluids. Examples include mammalian spermatozoa in cervical mucus, worms (e.g., \textit{C. elegans}) in wet soil, and bacteria (e.g., \textit{H. pylori}) in our stomach lining. Due to the…

流体动力学 · 物理学 2022-10-21 Paulo E. Arratia

We study a model of flocking in order to describe the transitions during the collective motion of organisms in three dimensions (e.g., birds). In this model the particles representing the organisms are self-propelled, i.e., they move with…

生物物理 · 物理学 2015-06-26 A. Czirok , M. Vicsek , T. Vicsek

Near a solid boundary, E. coli swims in clockwise circular motion. We provide a hydrodynamic model for this behavior. We show that circular trajectories are natural consequences of force-free and torque-free swimming, and the hydrodynamic…

软凝聚态物质 · 物理学 2016-08-31 Eric Lauga , Willow R. DiLuzio , George M. Whitesides , Howard A. Stone

Undulatory locomotion is ubiquitous in nature and observed in different media, from the swimming of flagellated microorganisms in biological fluids, to the slithering of snakes on land, or the locomotion of sandfish lizards in sand. Despite…

流体动力学 · 物理学 2017-01-03 Zhiwei Peng , On Shun Pak , Gwynn J. Elfring

Circular milling, a stunning manifestation of collective motion, is found across the natural world, from fish shoals to army ants. It has been observed recently that the plant-animal worm $Symsagittifera~roscoffensis$ exhibits circular…

Bacterial swimming is well characterized in uniform liquids at rest. The natural habitat of bacterial swimmers, however, is often dominated by moving fluids and interfaces, resulting in shear flows that may strongly alter bacterial…

We find the mixing induced by a small swimming organism in a density stratified fluid. We model the swimmer as a spherical squirmer and quantify mixing through a mixing efficiency that is the ratio of rate of change of potential energy of…

软凝聚态物质 · 物理学 2025-02-26 Vaseem A. Shaik , Gwynn J. Elfring

Swimming micro-organisms such as bacteria or spermatozoa are typically found in dense suspensions, and exhibit collective modes of locomotion qualitatively different from that displayed by isolated cells. In the dilute limit where…

生物物理 · 物理学 2010-05-02 Sebastien Michelin , Eric Lauga
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