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Active matter comprises individually driven units that convert locally stored energy into mechanical motion. Interactions between driven units lead to a variety of non-equilibrium collective phenomena in active matter. One of such phenomena…

Soft Condensed Matter · Physics 2021-06-15 Mingji Huang , Wensi Hu , Siyuan Yang , Quan-Xing Liu , H. P. Zhang

Microorganisms often encounter strong confinement and complex hydrodynamic flows while navigating their habitats. Combining finite-element methods and stochastic simulations, we study the interplay of active transport and heterogeneous…

Soft Condensed Matter · Physics 2025-11-05 Pallabi Das , Mirko Residori , Axel Voigt , Suvendu Mandal , Christina Kurzthaler

Microorganisms ofter move in confined, disordered environments, where hydrodynamic couplings can modify their transport behavior. Using extensive finite-element simulations, we investigate the dynamics of microswimmers -- modeled as…

Soft Condensed Matter · Physics 2026-03-24 Mirko Residori , Sebastian Aland , Christina Kurzthaler

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

We investigate the linearized hydrodynamic equations of interacting self-propelled particles in two dimensional space. It is found that the small perturbations of density and polarization fields satisfy the hyperbolic partial differential…

Biological Physics · Physics 2019-01-01 Waipot Ngamsaad , Suthep Suantai

This paper studies the influence of orienting external fields on pattern formation, particularly mesoscale turbulence, in microswimmer suspensions. To this end, we apply a hydrodynamic theory that can be derived from a microscopic…

Soft Condensed Matter · Physics 2019-02-27 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

A collection of microswimmers immersed in an incompressible fluid is characterised by strong interactions due to the long-range nature of the hydrodynamic fields generated by individual organisms. As a result, suspensions of rear-actuated…

Soft Condensed Matter · Physics 2023-12-19 Viktor Škultéty , Dóra Bárdfalvy , Joakim Stenhammar , Cesare Nardini , Alexander Morozov

Active systems comprised of self-propelled units show fascinating transitions from Brownian-like dynamics to collective coherent motion. Swirling of swimming bacteria is a spectacular example. This study demonstrates that a nematic liquid…

Biological and artificial microswimmers often self-propel in external flows of vortical nature; relevant examples include algae in small-scale ocean eddies, spermatozoa in uterine peristaltic flows and bacteria in microfluidic devices. A…

Biological Physics · Physics 2022-11-14 Ivan Tanasijevic , Eric Lauga

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

Understanding the organization of collective motion in biological systems is an ongoing challenge. In this Paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish,…

Biological Physics · Physics 2015-06-04 Shradha Mishra , Kolbjørn Tunstrøm , Iain D. Couzin , Cristián Huepe

We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete…

Analysis of PDEs · Mathematics 2020-07-15 Ruiwen Shu , Eitan Tadmor

A drop bouncing on a vertically-vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The…

Soft Condensed Matter · Physics 2023-05-25 Adrien Hélias , Matthieu Labousse

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

We use the Fokker-Planck equation and its moment equations to study the collective behavior of interacting particles in unsteady one-dimensional flows. Particles interact according to a long-range attractive and a short-range repulsive…

Fluid Dynamics · Physics 2014-08-05 Maryam Abedi , Mir Abbas Jalali

We experimentally investigate the role of illumination on the collective dynamics of a large school (ca. 50 individuals) of Hemigrammus rhodostomus. The structure of the group, defined using two order parameters, is quantified while…

Adaptation and Self-Organizing Systems · Physics 2023-01-24 Baptiste Lafoux , Jeanne Moscatelli , Ramiro Godoy-Diana , Benjamin Thiria

It has been a long-standing problem how schooling fish optimize their motion by exploiting the vortices shed by the others. A recent experimental study showed that a pair of fish reduce energy consumption by matching the phases of their…

Biological Physics · Physics 2023-12-05 Susumu Ito , Nariya Uchida

Dense suspensions of swimming bacteria are known to exhibit collective behaviour arising from the interplay of steric and hydrodynamic interactions. Unconfined suspensions exhibit transient, recurring vortices and jets, whereas those…

Biological Physics · Physics 2016-07-04 Hugo Wioland , Enkeleida Lushi , Raymond E. Goldstein

We study in detail the hydrodynamic theories describing the transition to collective motion in polar active matter, exemplified by the Vicsek and active Ising models. Using a simple phenomenological theory, we show the existence of an…

Statistical Mechanics · Physics 2016-01-20 Alexandre P. Solon , Jean-Baptiste Caussin , Denis Bartolo , Hugues Chaté , Julien Tailleur

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar