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Two hallmarks of non-equilibrium systems, from active colloids to animal herds, are agents motility and nonreciprocal interactions. Their interplay creates feedback loops leading to complex spatiotemporal dynamics crucial to understand and…

Statistical Mechanics · Physics 2025-09-17 David Martin , Daniel Seara , Yael Avni , Michel Fruchart , Vincenzo Vitelli

Continuum hydrodynamic models of active liquid crystals have been used to describe dynamic self-organising systems such as bacterial swarms and cytoskeletal gels. A key prediction of such models is the existence of self-stabilising kink…

Soft Condensed Matter · Physics 2009-11-13 S. A. Edwards , J. M. Yeomans

We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high…

High Energy Physics - Phenomenology · Physics 2017-01-04 Esteban Calzetta , Alejandra Kandus

We investigate the dynamics of a dilute suspension of hydrodynamically interacting motile or immotile stress-generating swimmers or particles as they invade a surrounding viscous fluid. Colonies of aligned pusher particles are shown to…

Soft Condensed Matter · Physics 2019-03-08 Christopher J. Miles , Arthur A. Evans , Michael J. Shelley , Saverio E. Spagnolie

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

Recent work on stochastic interacting particle systems with two particle species (or single-species systems with kinematic constraints) has demonstrated the existence of spontaneous symmetry breaking, long-range order and phase coexistence…

Statistical Mechanics · Physics 2016-08-16 Gunter M. Schütz

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria

We study the long-time hydrodynamic behavior of systems of multi-species which arise from agent-based description of alignment dynamics. The interaction between species is governed by an array of symmetric communication kernels. We prove…

Analysis of PDEs · Mathematics 2022-09-07 Jingcheng Lu , Eitan Tadmor

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest…

Soft Condensed Matter · Physics 2009-11-13 Evgeniy Khain

We have investigated the onset of collective motion in systems of model microswimmers, by performing a comprehensive analysis of the binary collision dynamics using three dimensional direct numerical simulations (DNS) with fully resolved…

Fluid Dynamics · Physics 2017-12-05 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls are performed. The results of simulations are compared with a theory that describes dilute…

Fluid Dynamics · Physics 2015-05-13 Juan P. Hernandez-Ortiz , Patrick T. Underhill , Michael D. Graham

Coordinated movement and self-organisation of active self-driven agents is common in nature and is seen across different scales, from herds of animals to collective motion in bacteria. Often, these systems are heterogeneous in composition,…

Adaptation and Self-Organizing Systems · Physics 2026-04-28 Balagopal Nair , Arshed Nabeel , Danny Raj M

In this paper we systematically derive a fourth-order continuum theory capable of reproducing mesoscale turbulence in a three-dimensional suspension of microswimmers. We start from overdamped Langevin equations for a generic microscopic…

Soft Condensed Matter · Physics 2018-06-28 Henning Reinken , Sabine H. L. Klapp , Markus Bär , Sebastian Heidenreich

For natural microswimmers, the interplay of swimming activity and external flow can promote robust motion, e.g. propulsion against ("upstream rheotaxis") or perpendicular to the direction of flow. These effects are generally attributed to…

Soft Condensed Matter · Physics 2018-01-30 Jaideep Katuri , William E. Uspal , Juliane Simmchen , Albert Miguel-López , Samuel Sánchez

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

Ensembles of biological and artificial microswimmers produce long-range velocity fields with strong nonequilibrium fluctuations, which result in dramatic increase diffusivity of embedded particles (tracers). While such enhanced diffusivity…

Soft Condensed Matter · Physics 2019-02-20 Sergey Belan , Mehran Kardar

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

The spontaneous emergence of collective motion patterns is usually associated with the presence of a velocity alignment mechanism that mediates the interactions among the moving individuals. Despite of this widespread view, it has been…

Biological Physics · Physics 2019-12-18 Fernando Peruani

Natural habitats of most living microorganisms are distinguished by a complex structure often formed by a porous medium such as soil. The dynamics and transport properties of motile microorganisms are strongly affected by crowded and…

Soft Condensed Matter · Physics 2023-06-23 Florian von Rüling , Liubov Bakhchova , Ulrike Steinmann , Alexey Eremin

Catalytic microswimmers convert the chemical energy of a fuel into motion, sustaining spatial chemical gradients and fluid flows that drive their propulsion. This leads to unconventional individual behavior and the emergence of collective…

Soft Condensed Matter · Physics 2024-09-04 Celso Carrasco , Quentin Martinet , Zaiyi Shen , Juho S. Lintuvuori , Jérémie Palacci , Antoine Aubret