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Typically, in the description of active Brownian particles, a constant effective propulsion force is assumed, which is then subjected to fluctuations in orientation and translation leading to a persistent random walk with an enlarged…

Soft Condensed Matter · Physics 2014-02-28 Sonja Babel , Borge ten Hagen , Hartmut Löwen

We study the position of a biased tracer particle (TP) in a bath of hardcore particles moving on a lattice of arbitrary dimension and in contact with a reservoir. Starting from the master equation satisfied by the joint probability of the…

Statistical Mechanics · Physics 2015-12-09 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Raphaël Voituriez

Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they are capable of self-propulsion. Among these, a significant class execute so-called run-and-tumble motion: they follow a fairly straight path for…

Statistical Mechanics · Physics 2012-09-06 M. E. Cates

The rotational Brownian motion of colloidal spheres in dense suspensions reflects local hydrodynamics and friction, both key to non-linear rheological phenomena such as shear-thickening and jamming, and transport in crowded environments,…

Soft Condensed Matter · Physics 2021-06-23 Taiki Yanagishima , Yanyan Liu , Hajime Tanaka , Roel Dullens

Living systems at the sub-cellular, cellular, and multi-cellular level are often crowded systems that contain active particles. The active motion of these particles can also propel passive particles, which typically results in enhanced…

Soft Condensed Matter · Physics 2021-05-12 Leila Abbaspour , Stefan Klumpp

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using…

Soft Condensed Matter · Physics 2011-03-11 Dmitry S. Novikov , Els Fieremans , Jens H. Jensen , Joseph A. Helpern

Swimming microbes, such as bacteria and algae, live in diverse habitats including soil, ocean and human body which are characterized by structural boundaries and heterogeneous fluid flows. Although much progress has been made in…

Biological Physics · Physics 2022-02-16 Kejie Chen , Kairong Qin

The coupling between advection and diffusion in position space can often lead to enhanced mass transport compared to diffusion without flow. An important framework used to characterize the long-time diffusive transport in position space is…

Fluid Dynamics · Physics 2024-10-10 Zhiwei Peng

The diffusion of micro- and nanoswimmers in a fluid, confined within irregular structures that impose entropic barriers, is often modeled using overdamped active Brownian dynamics, where viscous effects are paramount and inertia is…

Soft Condensed Matter · Physics 2026-04-03 Narender Khatri , Vikas Sharma , Anton F. Burnet , Suneet Kumar Awasthi

Diffusion at solid-liquid interfaces is crucial in many technological and biophysical processes. Although its behavior seems deceivingly simple, recent studies showing passive superdiffusive transport suggest diffusion on surfaces may hide…

Statistical Mechanics · Physics 2016-05-25 Diego Krapf , Grace Campagnola , Kanti Nepal , Olve B. Peersen

Brownian motion is a Gaussian process described by the central limit theorem. However, exponential decays of the positional probability density function $P(X,t)$ of packets of spreading random walkers, were observed in numerous situations…

Statistical Mechanics · Physics 2020-02-18 Eli Barkai , Stanislav Burov

The combined impact of axial stretching and cross-stream diffusion on the downstream transport of solute is termed Taylor dispersion. The dispersion of active suspensions is qualitatively distinct: viscous and external torques can establish…

Soft Condensed Matter · Physics 2025-05-27 Hakan Osman Caldag , Martin Alan Bees

We study both experimentally and theoretically the dynamics of chemically self-propelled Janus colloids moving atop a two-dimensional crystalline surface. The surface is a hexagonally close-packed monolayer of colloidal particles of the…

Soft Condensed Matter · Physics 2017-12-19 Udit Choudhury , Arthur V. Straube , Peer Fischer , John G. Gibbs , Felix Höfling

It is well known that on long time scales the behaviour of tracer particles diffusing in a cellular flow is effectively that of a Brownian motion. This paper studies the behaviour on "intermediate" time scales before diffusion sets in.…

Analysis of PDEs · Mathematics 2016-09-09 Gautam Iyer , Alexei Novikov

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

Mesh-like structures, such as mucus gel or cytoskeleton networks, are ubiquitous in biological systems. These intricate structures are composed of cross-linked, semi-flexible bio-filaments, crucial to numerous biological processes. In many…

Soft Condensed Matter · Physics 2024-01-10 Yeongjin Kim , Won Kyu Kim , Jae-Hyung Jeon

An active bath, made of self-propelling units, is a nonequilibrium medium in which the Einstein relation $D=\mu k_B T$ between the mobility $\mu$ and the diffusivity $D$ of a tracer particle cannot be expected to hold a priori. We consider…

Statistical Mechanics · Physics 2022-04-20 Alexandre Solon , Jordan M. Horowitz

Bacterial assemblies exhibit rich collective behaviors that control their biological functions, making them a relevant object of study from an active matter physics perspective. Dense bacterial suspensions self-organize into distinct…

Soft Condensed Matter · Physics 2025-04-08 Martin Maliet , Nicolas Fix-Boulier , Ludovic Berthier , Maxime Deforet

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
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