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This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

Microorganisms living in microfluidic environments often form multi-species swarms, where they can leverage collective motions to achieve enhanced transport and spreading. Nevertheless, there is a general lack of physical understandings of…

Fluid Dynamics · Physics 2022-02-14 Bryce Palmer , Wen Yan , Tong Gao

We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body,…

Optimization and Control · Mathematics 2009-09-29 Mario Sigalotti , Jean-Claude Vivalda

Active particles often swim in confined environments. The transport mechanisms, especially the global one as reflected by the Taylor dispersion model, are of great practical interest to various applications. For active dispersion process in…

Fluid Dynamics · Physics 2023-06-22 Weiquan Jiang , Guoqian Chen

Swimming of microorganisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible f luid of low Reynolds number. The flagellated motion is analyzed in two dimensional fluid, by using the…

High Energy Physics - Theory · Physics 2009-10-22 Masako Kawamura , Akio Sugamoto , Shin'ichi Nojiri

Swimming and flying animals demonstrate remarkable adaptations to diverse flow conditions in their environments. In this study, we aim to advance the fundamental understanding of the interaction between flexible bodies and heterogeneous…

Fluid Dynamics · Physics 2025-12-16 Abdur Rehman , Daniel Floryan

By taking into account the hydrodynamic interactions in a one dimensional array of model cilia attached to a no-slip cylinderical surface, we investigate their synchronized motion. We show, how does the emergence of metachronal waves depend…

Biological Physics · Physics 2017-05-31 Aref Ghorbani , Ali Najafi

Demonstrating and quantifying the respective roles of social interactions and external stimuli governing fish dynamics is key to understanding fish spatial distribution. If seminal studies have contributed to our understanding of fish…

Biological Physics · Physics 2015-06-03 Manuela Capello , Marc Soria , Pascal Cotel , Jean-Louis Deneubourg , Laurent Dagorn

We derive a self-consistent hydrodynamic theory of coupled binary-fluid-surfactant systems from the underlying microscopic physics using Rayleigh's variational principle. At the microscopic level, surfactant molecules are modelled as…

Soft Condensed Matter · Physics 2026-02-25 Alexandra J. Hardy , Samuel Cameron , Steven McDonald , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

Typically, in the description of active Brownian particles, a constant effective propulsion force is assumed, which is then subjected to fluctuations in orientation and translation leading to a persistent random walk with an enlarged…

Soft Condensed Matter · Physics 2014-02-28 Sonja Babel , Borge ten Hagen , Hartmut Löwen

Inspired by groups of animals and robots, we study the collective dynamics of large numbers of active particles, each one trying to get to its own randomly placed target, while avoiding collisions with each other. The particles we study are…

Statistical Mechanics · Physics 2022-11-09 Mathias Casiulis , Dov Levine

It has been experimentally shown that Brownian motion and active forward drift controlled by quorum sensing is sufficient to produce clustering behavior in orientable Janus particles. This paper explores the group formation and cohesion of…

Pattern Formation and Solitons · Physics 2025-04-24 Griffin Smith , Nathan Stouffer , Scott G. McCalla , Dominique P. Zosso

The structure and dynamics of confined suspensions of particles of arbitrary shape is of interest in multiple disciplines, from biology to engineering. Theoretical studies are often limited by the complexity of long-range particle-particle…

We consider a free boundary model of epithelial cell migration with logistic growth and nonlinear diffusion induced by mechanical interactions. Using numerical simulations, phase plane and perturbation analysis, we find and analyse…

Pattern Formation and Solitons · Physics 2020-10-05 Ryan J Murphy , Pascal R Buenzli , Ruth E Baker , Matthew J Simpson

We investigate the influence of external forces on the collective dynamics of interacting active Brownian particles in two as well as three spatial dimensions. Via explicit coarse graining, we derive predictive models that are applicable…

Soft Condensed Matter · Physics 2022-02-10 Jens Bickmann , Stephan Bröker , Raphael Wittkowski

We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a…

Analysis of PDEs · Mathematics 2013-11-08 Igor Chueshov , Irena Lasiecka , Justin T. Webster

We simulate clustering, phase separation and hexatic ordering in a monolayered suspension of active squirming disks subject to an attractive Lennard-Jones-like pairwise interaction potential, taking hydrodynamic interactions between the…

Soft Condensed Matter · Physics 2016-03-31 Ricard Matas Navarro , Suzanne Fielding

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

Cell motility in viscous fluids is ubiquitous and affects many biological processes, including reproduction, infection, and the marine life ecosystem. Here we review the biophysical and mechanical principles of locomotion at the small…

Soft Condensed Matter · Physics 2009-09-16 Eric Lauga , Thomas R. Powers

Flagellated bacteria exploiting helical propulsion are known to swim along circular trajectories near surfaces. Fluid dynamics predicts this circular motion to be clockwise (CW) above a rigid surface (when viewed from inside the fluid) and…

Biological Physics · Physics 2014-07-18 Diego Lopez , Eric Lauga