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The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

Micro-organisms propel themselves in viscous environments by the periodic, nonreciprocal beating of slender appendages known as flagella. Active materials have been widely exploited to mimic this form of locomotion. However, the realization…

Soft Condensed Matter · Physics 2024-08-06 Ariel Surya Boiardi , Giovanni Noselli

We study the local controllability properties of 2D and 3D bio-mimetic swimmers employing the change of their geometric shape to propel themselves in an incompressible fluid described by Navier-Stokes equations. It is assumed that swimmers'…

Analysis of PDEs · Mathematics 2016-05-09 Piermarco Cannarsa , Alexandre Khapalov

Many organisms leverage an interplay between shape and activity to generate motion and adapt to their environment. Embedding such feedback into synthetic microrobots could eliminate the need for sensors, software, and actuators, yet current…

Soft Condensed Matter · Physics 2025-06-19 Mengshi Wei , Daniela J. Kraft

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

We investigate the self-locomotion of an elongated microswimmer by virtue of the unidirectional tangential surface treadmilling. We show that the propulsion could be almost frictionless, as the microswimmer is propelled forward with the…

Fluid Dynamics · Physics 2009-11-13 Alexander M. Leshansky , Oded Kenneth , Omri Gat , Joseph E. Avron

Locomotion by shape changes (spermatozoon swimming, snake slithering, bird flapping) or gas expulsion (rocket firing) is assumed to require environmental interaction, due to conservation of momentum. As first noted in (Wisdom, 2003) and…

The biological fluids encountered by self-propelled cells display complex microstructures and rheology. We consider here the general problem of low-Reynolds number locomotion in a complex fluid. {Building on classical work on the transport…

Fluid Dynamics · Physics 2014-10-16 Eric Lauga

Many microorganisms take a chiral path while swimming in an ambient uid. In this paper, we study the combined behavior of two chiral swimmers using the well-known squirmer model taking into account chiral asymmetries. In contrast to the…

Soft Condensed Matter · Physics 2022-02-23 P. S. Burada , R. Maity , F. Jülicher

We demonstrate with experiments and simulations how microscopic self-propelled particles navigate through environments presenting complex spatial features, which mimic the conditions inside cells, living organisms and future lab-on-a-chip…

Biological Physics · Physics 2011-09-22 Giovanni Volpe , Ivo Buttinoni , Dominik Vogt , Hans-Juergen Kuemmerer , Clemens Bechinger

Self-organization of a biologically motivated swarm into smaller subgroups of different velocities is found by solving a 1-dimensional adaptive-velocity swarm, in which the velocity of an agent is averaged over a finite local radius of…

Adaptation and Self-Organizing Systems · Physics 2013-09-13 Jiangning Chen , Weituo Zhang , Chjan C. Lim

Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statistical distribution of the droplet position. We develop a…

Dynamical Systems · Mathematics 2023-02-03 Gonzalo Ferrandez Quinto , Aminur Rahman

The spontaneous migration of droplets on conical fibers is studied experimentally by depositing silicone oil droplets onto conical glass fibers. Their motion is recorded using optical microscopy and analysed to extract the relevant…

Soft Condensed Matter · Physics 2020-09-01 Clementine Fournier , Carmen Lee , Rafael Schulman , Elie Raphael , Kari Dalnoki-Veress

A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the…

Mathematical Physics · Physics 2015-06-05 Pierre Degond , Jiale Hua

Self-propelling active matter relies on the conversion of energy from the undirected, nanoscopic scale to directed, macroscopic motion. One of the challenges in the design of synthetic active matter lies in the control of dynamic states, or…

Fluid Dynamics · Physics 2025-03-10 Prashanth Ramesh , Yibo Chen , Petra Räder , Svenja Morsbach , Maziyar Jalaal , Corinna C Maass

We propose a simple model of self-propelled particles to show that coherent structures, such as jets and swirls, can arise from a plausible microscopic mechanisms: (i) the elongated shape of the self-propelled particles with (ii) the…

Soft Condensed Matter · Physics 2009-11-13 Nicholas Sambelashvili , A. W. C. Lau , David Cai

We study chemically driven running droplets on a partially wetting solid substrate by means of coupled evolution equations for the thickness profile of the droplets and the density profile of an adsorbate layer. Two models are introduced…

Soft Condensed Matter · Physics 2007-05-23 K. John , M. Baer , U. Thiele

The hydrodynamic flow field generated by self-propelled active particles and swimming microorganisms is strongly altered by the presence of nearby boundaries in a viscous flow. Using a simple model three-linked sphere swimmer, we show that…

Fluid Dynamics · Physics 2018-04-18 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Christian Hoell , Hartmut Löwen

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

Active droplets can swim spontaneously in viscous flows as a result of the non-linear convective transport of a chemical solute produced at their surface by the Marangoni and/or phoretic flows generated by this solute's inhomogeneous…

Fluid Dynamics · Physics 2022-12-01 Nikhil Desai , Sebastien Michelin