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We present a hydrodynamic model of flocking that generalizes the familiar Toner-Tu equations to incorporate turning inertia of well-polarized flocks. The continuum equations controlled by only two dimensionless parameters, orientational…

Soft Condensed Matter · Physics 2016-01-20 Xingbo Yang , M. Cristina Marchetti

Inspired by the classical Kepler and Rutherford problem, we investigate an analogous set-up in the context of active microswimmers: the behavior of a deformable microswimmer in a swirl flow. First we identify new steady bound states in the…

Soft Condensed Matter · Physics 2014-09-11 Mitsusuke Tarama , Andreas M. Menzel , Hartmut Löwen

In bio-social models, cooperative behaviour has evolved as an adaptive strategy, playing multi-functional roles. One of such roles in populations is to increase the success of survival and reproduction of individuals and their families or…

Dynamical Systems · Mathematics 2024-06-18 Sangeeta Saha , Swadesh Pal , Roderick Melnik

Micro-swimmers can serve as cargo carriers that move deep inside complex flow networks. When a school collectively entrains the surrounding fluid, their transport capacity can be enhanced. This effect is quantified with good agreement…

Soft Condensed Matter · Physics 2021-08-26 Chenyu Jin , Yibo Chen , Corinna C. Maass , Arnold J. T. M. Mathijssen

We consider collective motion and damping of dipolar Fermi gases in the hydrodynamic regime. We investigate the trajectories of collective oscillations -- here dubbed ``weltering'' motions -- in cross-dimensional rethermalization…

Quantum Gases · Physics 2023-06-02 Reuben R. W. Wang , John L. Bohn

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

Analysis of PDEs · Mathematics 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

We propose a hydrodynamic theory to examine the emergence of contraction waves in dense active liquids composed of pulsating deformable particles. Our theory couples the liquid density with a chemical phase that determines the periodic…

Statistical Mechanics · Physics 2025-09-24 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

Capturing the emergence of deformation waves in contractile living tissues is a challenge that has recently been tackled with models of actively deformable particles. Inspired by the anisotropic deformation of cardiomyocytes in cardiac…

Soft Condensed Matter · Physics 2026-05-26 Luca Casagrande , Alessandro Manacorda , Etienne Fodor

Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion. We focus on the case where there is a balance between…

Analysis of PDEs · Mathematics 2018-03-12 José A. Carrillo , Aneta Wróblewska-Kamińska , Ewelina Zatorska

We present an experimental study of the statistical properties of millimeter-size spheres floating on the surface of a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. By using two magnet…

Fluid Dynamics · Physics 2016-07-04 Pablo Gutiérrez , Sébastien Aumaître

The collective behavior of active semiflexible filaments is studied with a model of tangentially driven self-propelled worm-like chains. The combination of excluded-volume interactions and self-propulsion leads to several distinct dynamic…

Biological Physics · Physics 2024-06-03 Ozer Duman , Rolf E. Isele-Holder , Jens Elgeti , Gerhard Gompper

Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is background flows. While the influence of select flows,…

Fluid Dynamics · Physics 2025-10-30 Eamonn A. Gaffney , Kenta Ishimoto , Benjamin J. Walker

The aerial flocking of birds, or murmurations, has fascinated observers while presenting many challenges to behavioral study and simulation. We examine how the periphery of murmurations remain well bounded and cohesive. We also investigate…

Quantitative Methods · Quantitative Biology 2024-07-22 Rama Carl Hoetzlein

Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwelling determines large-scale oceanic circulation properties…

Biological and artificial microswimmers often have to propel through a variety of environments, ranging from heterogeneous suspending media to strong geometrical confinement. Under confinement, local flow fields generated by microswimmers,…

Soft Condensed Matter · Physics 2024-06-04 Florian A. Overberg , Gerhard Gompper , Dmitry A. Fedosov

While mathematical models, in particular self-propelled particle (SPP) models, capture many of the observed properties of large fish schools, they do not always capture the interactions of smaller shoals. Nor do these models tend to account…

Neurons and Cognition · Quantitative Biology 2023-04-04 Linnéa Gyllingberg , Alex Szorkovszky , David J. T. Sumpter

Collective behaviour in living systems is observed across many scales, from bacteria to insects, to fish shoals. Zebrafish have emerged as a model system amenable to laboratory study. Here we report a three-dimensional study of the…

Statistical Mechanics · Physics 2024-05-16 Yushi Yang , Francesco Turci , Erika Kague , Chrissy L. Hammond , John Russo , C. Patrick Royall

Swimming cells and microorganisms are as diverse in their collective dynamics as they are in their individual shapes and propulsion mechanisms. Even for sperm cells, which have a stereotyped shape consisting of a cell body connected to a…

Fluid Dynamics · Physics 2018-06-25 S. F. Schoeller , E. E. Keaveny

We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each individual relaxes to the mean velocity. In our present case,…

Analysis of PDEs · Mathematics 2019-12-03 Mihaï Bostan , José Antonio Carrillo

Active particles such as swimming bacteria or self-propelled colloids are known to spontaneously organize into fascinating large-scale dynamic structures. The emergence of these collective states from the motility pattern of the individual…

Soft Condensed Matter · Physics 2019-11-20 Hamid Karan , Gerardo E. Pradillo , Petia M. Vlahovska