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We survey recent results in the mathematical literature on the equations of incompressible fluid dynamics, highlighting common themes and how they might contribute to the understanding of some phenomena in the theory of fully developed…

流体动力学 · 物理学 2022-02-16 Camillo De Lellis , La'szlo' Sze'kelyhidi

Several active organisms in nature tend to reside as a community in a viscous fluid medium. We analyze the variation of swimming characteristics of an active swimmer present in a dilute and disperse suspension, modeled as an effective…

软凝聚态物质 · 物理学 2021-10-04 Abyaya Dhar , P. S. Burada , G. P. Raja Sekhar

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…

软凝聚态物质 · 物理学 2024-03-15 Dóra Bárdfalvy , Viktor Škultéty , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

In the paper a simple discrete dynamical model for dynamics of two antagonistic agents (opponents) under iterated sanctions and counter-sanctions is proposed. The model is inspired with Osipov-Lanchester model for combats. Simple stability…

最优化与控制 · 数学 2022-07-19 Alexander Fradkov

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric…

统计力学 · 物理学 2018-07-18 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

Suspensions of self-motile, elongated particles are a topic of significant current interest, exemplifying a form of `active matter'. Examples include self-propelling bacteria, algae and sperm, and artificial swimmers. Ericksen's model of a…

A dilute non-interacting suspension of micro-swimmers exhibits a finite velocity variance and short-ranged correlations that decay over a swimmer length. For a suspension of interacting straight swimmers, however, pair-interactions leads to…

软凝聚态物质 · 物理学 2020-12-02 Sankalp Nambiar , Piyush Garg , Ganesh Subramanian

Several nonlinear and nonequilibrium driven as well as active systems (e.g. microswimmers) show bifurcations from one state to another (for example a transition from a non motile to motile state for microswimmers) when some control…

软凝聚态物质 · 物理学 2022-01-10 Alexander Farutin , Chaouqi Misbah

We analyze the dynamics of a microswimmer in pressure-driven Poiseuille flow, where fluid inertia is small but non-negligible. Using perturbation theory and the reciprocal theorem, we show that in addition to the classical inertial lift of…

软凝聚态物质 · 物理学 2021-09-21 Akash Choudhary , Subhechchha Paul , Felix Rühle , Holger Stark

We theoretically investigate the effect of random fluctuations on the motion of elongated microswimmers near hydrodynamic transport barriers in externally-driven fluid flows. Focusing on the two-dimensional hyperbolic flow, we consider the…

流体动力学 · 物理学 2022-02-03 Simon A. Berman , Kevin A. Mitchell

Biological microswimmers alter their motility in complex corner geometries, facilitating their survival. However, the dynamical features of low-Reynolds-number swimming at corners remain undefined. Here, we use active droplet microswimmers…

软凝聚态物质 · 物理学 2026-04-22 Subhasish Guchhait , Harshita Tiwari , Sumesh P. Thampi , Ranabir Dey

We consider a kinetic model of an active suspension of rod-like microswimmers. In certain regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near homogeneous isotropic equilibria $\overline{\psi} =…

偏微分方程分析 · 数学 2023-08-21 Dallas Albritton , Laurel Ohm

In this paper we derive some new weakly nonlinear asymptotic models describing viscous waves in deep water with or without surface tension effects. These asymptotic models take into account several different dissipative effects and are…

偏微分方程分析 · 数学 2019-08-16 Rafael Granero-Belinchón , Stefano Scrobogna

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…

软凝聚态物质 · 物理学 2025-03-04 Haruki Hayano , Akira Furukawa

We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid. We then provide a weak-strong uniqueness result that allows…

偏微分方程分析 · 数学 2020-03-18 Giovanni Paolo Galdi , Václav Mácha , Šárka Nečasová

Active colloidal microswimmers serve as archetypical active fluid systems, and as models for biological swimmers. Here, by studying in detail their velocity traces, we find robust power-law intermittency with system-dependent exponential…

软凝聚态物质 · 物理学 2023-10-27 Nick Oikonomeas-Koppasis , Stefania Ketzetzi , Daniela J. Kraft , Peter Schall

We study theoretically the behavior of a class of hydrodynamic dipoles. This study is motivated by recent experiments on synthetic and biological swimmers in microfluidic \textit{Hele-Shaw} type geometries. Under such confinement, a…

流体动力学 · 物理学 2015-09-30 Eva Kanso , Alan Tsang

The collective effects of microswimmers in active suspensions result in active turbulence, a spatiotemporally chaotic dynamics at mesoscale, which is characterized by the presence of vortices and jets at scales much larger than the…

流体动力学 · 物理学 2020-02-24 Moritz Linkmann , M. Cristina Marchetti , Guido Boffetta , Bruno Eckhardt

Guiding active microswimmers by external fields to requested target locations is a promising strategy to realize complex transport on the microscale. To this end, one possibility consists of attaching the microswimmers to orientable passive…

流体动力学 · 物理学 2020-02-19 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Hartmut Löwen , Andreas M. Menzel

We investigate the dynamics of model microswimmers under confinement, in cylindrical geometries, by means of three dimensional direct numerical calculations with fully resolved hydrodynamics. Such swimmers are known to show collective…

软凝聚态物质 · 物理学 2017-09-26 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto