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The dispersion of a passive colloid immersed in a bath of non-interacting and non-Brownian run-and-tumble microswimmers in two dimensions is analyzed using stochastic simulations and an asymptotic theory, both based on a minimal model of…

Soft Condensed Matter · Physics 2024-03-18 Tanumoy Dhar , David Saintillan

One striking feature of bacterial motion is their ability to swim upstream along corners and crevices, by leveraging hydrodynamic interactions. This motion through anatomic ducts or medical devices might be at the origin of serious…

Soft Condensed Matter · Physics 2020-04-07 Nuris Figueroa-Morales , Aramis Rivera , Rodrigo Soto , Anke Lindner , Ernesto Altshuler , Eric Clement

The sedimentation process in a suspension of bacteria is the result of the competition between gravity and the intrinsic motion of the microorganisms. We perform simulations of run-and-tumble "squirmers" that move in a fluid medium,…

Soft Condensed Matter · Physics 2021-11-11 Andrea Scagliarini , Ignacio Pagonabarraga

We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation {\theta} of the particle can assume a set of n possible discrete values while in the second case {\theta} is a…

Statistical Mechanics · Physics 2020-06-17 Ion Santra , Urna Basu , Sanjib Sabhapandit

We analyze a simplistic model for run-and-tumble dynamics, motivated by observations of complex spatio-temporal patterns in colonies of myxobacteria. In our model, agents run with fixed speed either left or right, and agents turn with a…

Pattern Formation and Solitons · Physics 2017-12-04 Patrick Flynn , Quinton Neville , Arnd Scheel

The induced diffusion of tracers in a bacterial suspension is studied theoretically and experimentally at low bacterial concentrations. Considering the swimmer-tracer hydrodynamic interactions at low-Reynolds number and using a kinetic…

Soft Condensed Matter · Physics 2015-06-11 G. L. Miño , J. Dunstan , A. Rousselet , E. Clement , R. Soto

We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a rate $\lambda$ at a certain point $\vec x$. In that case the…

Statistical Mechanics · Physics 2015-06-25 Michael Schulz , Steffen Trimper , Knud Zabrocki

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

Statistical Mechanics · Physics 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

Dispersal is essential to the plethora of motile microorganisms living in porous environments, yet how it relates to movement patterns and pore space structure remains largely unknown. Here we investigate numerically the long-time dispersal…

Soft Condensed Matter · Physics 2025-03-06 T. Pietrangeli , R. Foffi , R. Stocker , C. Ybert , C. Cottin-Bizonne , F. Detcheverry

In addition to enabling movement towards environments with favourable living conditions, swimming by microorganisms has also been linked to enhanced mixing and improved nutrient uptake by their populations. Experimental studies have shown…

Fluid Dynamics · Physics 2017-11-07 Blaise Delmotte , Eric E Keaveny , Eric Climent , Franck Plouraboué

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

Here we characterize the motility of athermal swimming droplets within the framework of active rotational diffusion. Just like active colloids, their trajectories can be modeled with a constant velocity $V$ and a slow angular diffusion, but…

Soft Condensed Matter · Physics 2020-05-20 Adrien Izzet , Pepijn Moerman , Jan Groenewold , Jérôme Bibette , Jasna Brujić

The experiments of Leptos et al. [Phys. Rev. Lett. 103, 198103 (2009)] show that the displacements of small particles affected by swimming microorganisms achieve a non-Gaussian distribution, which nevertheless scales diffusively -- the…

Soft Condensed Matter · Physics 2017-10-26 Jean-Luc Thiffeault

Active matter exhibits various forms of non-equilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modelled from first principles and our understanding of…

Soft Condensed Matter · Physics 2020-09-17 Viktor Škultéty , Cesare Nardini , Joakim Stenhammar , Davide Marenduzzo , Alexander Morozov

We study the dynamics of a single inertial run-and-tumble particle on a straight line. The motion of this particle is characterized by two intrinsic time-scales, namely, an inertial and an active time-scale. We show that interplay of these…

Statistical Mechanics · Physics 2025-05-21 Debraj Dutta , Anupam Kundu , Urna Basu

We introduce a numerical method to extract the parameters of run-and-tumble dynamics from experimental measurements of the intermediate scattering function. We show that proceeding in Laplace space is unpractical and employ instead renewal…

The trajectories of microswimmers moving in narrow channels of widths comparable to their sizes are significantly altered when they encounter another microswimmer moving in the opposite direction. The consequence of these encounters is a…

The run-and-tumble dynamics of bacteria, as exhibited by \textit{E. coli}, offers a simple experimental realization of non-Brownian, yet diffusive, particles. Here we present some analytic and numerical results for models of the ideal…

Statistical Mechanics · Physics 2009-08-12 J. Tailleur , M. E. Cates

We study the long-time behaviour of a run and tumble model which is a kinetic-transport equation describing bacterial movement under the effect of a chemical stimulus. The experiments suggest that the non-uniform tumbling kernels are…

Analysis of PDEs · Mathematics 2024-04-30 Josephine Evans , Havva Yoldaş

We study the dispersion of bubble swarms rising in initially quiescent water using 3D Lagrangian tracking of deformable bubbles and tracer particles in an octagonal bubble column. First, we compare the dispersion inside bubble swarms with…