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The equilibrium structure and dynamics of a single polymer chain in a thermal solvent is by now well-understood in terms of scaling laws. Here we consider a polymer in a bacterial bath, i.e. in a solvent consisting of active particles which…

Soft Condensed Matter · Physics 2014-07-29 Andreas Kaiser , Hartmut Löwen

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

{\it E. coli} bacteria swim in straight runs interrupted by sudden reorientation events called tumbles. The resulting random walks give rise to density fluctuations that can be derived analytically in the limit of non interacting particles…

Statistical Mechanics · Physics 2013-09-05 M. Paoluzzi , R. Di Leonardo , L. Angelani

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Active particles (i.e., self-propelled particles or called microswimmers), different from passive Brownian particles, possess more complicated translational and angular dynamics, which can generate a series of anomalous transport phenomena.…

Soft Condensed Matter · Physics 2022-01-05 Ze-Hao Chen , Zhi-Xi Wu

Drying of bacterial suspensions is frequently encountered in a plethora of natural and engineering processes. However, the evaporation-driven mechanical instabilities of dense consolidating bacterial suspensions have not been explored…

Soft Condensed Matter · Physics 2022-07-26 Xiaolei Ma , Zhengyang Liu , Wei Zeng , Tianyi Lin , Xin Tian , Xiang Cheng

Micro- and nano-swimmers moving in a fluid solvent confined by structures that produce entropic barriers are often described by overdamped active Brownian particle dynamics, where viscous effects are large and inertia plays no role.…

Soft Condensed Matter · Physics 2023-03-28 Narender Khatri , Raymond Kapral

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

We describe a tracer in a bath of soft Brownian colloids by a particle coupled to the density field of the other bath particles. From the Dean equation, we derive an exact equation for the evolution of the whole system, and show that the…

Statistical Mechanics · Physics 2015-06-18 Vincent Démery , Hugo Jacquin , Olivier Bénichou

Nonergodicity observed in single-particle tracking experiments is usually modeled by transient trapping rather than spatial disorder. We introduce models of a particle diffusing in a medium consisting of regions with random sizes and random…

Soft Condensed Matter · Physics 2014-09-23 P. Massignan , C. Manzo , J. A. Torreno-Pina , M. F. García-Parajo , M. Lewenstein , G. J. Lapeyre

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

Measurements of protein motion in living cells and membranes consistently report transient anomalous diffusion (subdiffusion) which converges back to a Brownian motion with reduced diffusion coefficient at long times, after the anomalous…

Quantitative Methods · Quantitative Biology 2015-06-05 Hédi Soula , Bertrand Caré , Guillaume Beslon , Hugues Berry

We develop a maximum likelihood method to infer relevant physical properties of elongated active particles. Using individual trajectories of advected swimmers as input, we are able to accurately determine their rotational diffusion…

Soft Condensed Matter · Physics 2021-03-31 Gaspard Junot , Eric Clément , Harold Auradou , Reinaldo García-García

Optical tracking in vivo experiments reveal that diffusion of particles in biological cells is strongly enhanced in the presence of ATP and the experimental data for animal cells could previously be reproduced within a phenomenological…

Soft Condensed Matter · Physics 2017-03-22 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura , Alexander S. Mikhailov

We perform molecular dynamics simulations using the extended simple point charge SPC/E water model in order to investigate the dynamical behavior of supercooled-stretched water. We focus on the behavior of the translational diffusion…

Statistical Mechanics · Physics 2007-05-23 P. A. Netz , F. Starr , M. C. Barbosa , H. Eugene Stanley

Particles with ligand-receptor contacts bind and unbind fluctuating "legs" to surfaces, whose fluctuations cause the particle to diffuse. Quantifying the diffusion of such "nanoscale caterpillars" is a challenge, since binding events often…

Soft Condensed Matter · Physics 2022-03-21 Sophie Marbach , Jeana Aojie Zheng , Miranda Holmes-Cerfon

Non-typical transport phenomena may arise when randomly driven particles remain in an active relationship with the environment instead of being passive. If we attribute to Brownian particles an ability to induce alterations of the…

Statistical Mechanics · Physics 2009-10-31 Piotr Garbaczewski

A recent experiment [Sadoon AA, Wang Y. 2018 Phys. Rev. E 98, 042411] has revealed that nucleoid associated proteins (i.e., DNA-binding proteins) exhibit highly heterogeneous diffusion processes in bacteria where not only the diffusion…

Statistical Mechanics · Physics 2021-03-09 Yuichi Itto , Christian Beck

We present a Brownian dynamics study of a 2d bath of active particles interacting among each other through usual steric interactions and, additionally, via non-reciprocal avoidant orientational interactions. We motivate them by the fact…

Soft Condensed Matter · Physics 2022-10-24 Milos Knezevic , Till Welker , Holger Stark

We consider a two-type reducible branching Brownian motion, defined as a particle system on the real line in which particles of two types move according to independent Brownian motion and create offspring at constant rate. Particles of type…

Probability · Mathematics 2021-04-08 Mohamed Ali Belloum , Bastien Mallein