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We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In contrast to previous studies, we find that the damping and noise correlations possess long-time tails with exponents that depend on the tracer…

Soft Condensed Matter · Physics 2022-07-26 Omer Granek , Yariv Kafri , Julien Tailleur

Computer simulations were done of the mean square displacement (MSD) of tracer particles in colloidal gels formed by diffusion or reaction limited aggregation of hard spheres. The diffusion coefficient was found to be determined by the…

Soft Condensed Matter · Physics 2009-03-25 Sujin Babu , Jean Christophe Gimel , Taco Nicolai

Single-file diffusion refers to the Brownian motion in narrow channels where particles cannot pass each other. In such processes, the diffusion of a tagged particle is typically normal at short times and becomes subdiffusive at long times.…

Statistical Mechanics · Physics 2026-02-23 Sören Schweers , Alexander P. Antonov , Artem Ryabov , Philipp Maass

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

The general problem of tracer diffusion in non-equilibrium baths is important in a wide range of systems, from the cellular level to geographical lengthscales. In this paper, we revisit the archetypical example of such a system: a…

Soft Condensed Matter · Physics 2023-11-08 Henrik Nordanger , Alexander Morozov , Joakim Stenhammar

Tracer diffusion and hydrodynamic dispersion in two-dimensional fractures with self-affine roughness is studied by analytic and numerical methods. Numerical simulations were performed via the lattice-Boltzmann approach, using a new boundary…

Statistical Mechanics · Physics 2016-08-31 German Drazer , Joel Koplik

Many lamellar systems exhibit strongly anisotropic diffusion. When the diffusion across the lamellae is slow, an alternative mechanism for transverse transport becomes important. A tracer particle can propagate in the direction normal to…

Statistical Mechanics · Physics 2009-11-07 Victor Gurarie , Alexander E. Lobkovsky

We report molecular dynamics simulation results for two-component fluid mixtures of Gaussian-core particles, focusing on how tracer diffusivities and static pair correlations depend on temperature, particle concentration, and composition.…

Soft Condensed Matter · Physics 2009-11-04 Mark J. Pond , William P. Krekelberg , Vincent K. Shen , Jeffrey R. Errington , Thomas M. Truskett

We study the effect of spatially-varying potential and diffusivity on the dispersion of a tracer particle in single-file diffusion. Non-interacting particles in such a system exhibit normal diffusion at late times, which is characterised by…

Statistical Mechanics · Physics 2025-09-15 Benjamin Sorkin , David S. Dean

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

Mass transport of impurities immersed in a confined quasi-two-dimensional moderately dense granular gas of inelastic hard spheres is studied. The effect of the confinement on granular particles is modeled through a collisional model (the…

Soft Condensed Matter · Physics 2024-12-31 Rubén Gómez González , Vicente Garzó , Ricardo Brito , Rodrigo Soto

We discuss the manner in which the dynamics of tracer polystyrene chains varies with the concentration of matrix polystyrene chains dissolved in toluene. Using fluorescence correlation spectroscopy and theory, it is shown that the…

Soft Condensed Matter · Physics 2010-12-01 Ute Zettl , Matthias Ballauff , Ludger Harnau

Tracer particles immersed in suspensions of biological microswimmers such as E. coli or C. reinhardtii display phenomena unseen in conventional equilibrium systems, including strongly enhanced diffusivity relative to the Brownian value and…

Soft Condensed Matter · Physics 2022-01-27 Henrik Nordanger , Alexander Morozov , Joakim Stenhammar

We describe the motion of a tracer in an environment given by a kinetically constrained spin model (KCSM) at equilibrium. We check convergence of its trajectory properly rescaled to a Brownian motion and positivity of the diffusion…

Probability · Mathematics 2015-05-18 Oriane Blondel

Emergent bath-mediated attraction and condensation arise when multiple particles are simultaneously driven through an equilibrated bath under geometric constraints. While such scenarios are observed in a variety of non-equilibrium…

Statistical Mechanics · Physics 2021-08-25 Asaf Miron , David Mukamel , Harald A. Posch

Experimental studies of systems containing active proteins that undergo conformational changes driven by catalytic chemical reactions have shown that the diffusion coefficients of passive tracer particles and active molecules are larger…

Soft Condensed Matter · Physics 2017-02-27 Matthew Dennison , Raymond Kapral , Holger Stark

Swimming bacteria create long-range velocity fields that stir a large volume of fluid and move around passive particles dispersed in the fluid. Recent experiments and simulations have shown that long-time mean-squared displacement of…

Soft Condensed Matter · Physics 2013-08-20 Alexander Morozov , Davide Marenduzzo

Many theoretical and experimental results show that solute transport in heterogeneous porous media exhibits multi-scaling behaviors. To describe such non-Fickian diffusions, this work provides a distributed order Hausdorff diffusion model…

Fluid Dynamics · Physics 2018-12-05 Yingjie Liang , Wen Chen , Wei Xu , HongGuang Sun

It was previously believed that diffusion of a tracer particle in a viscoelastic material should be of the fractional Brownian motion (fBm) type. This is due to the long-term memory in the response of such materials to mechanical…

Soft Condensed Matter · Physics 2024-06-19 Maayan Levin , Golan Bel , Yael Roichman

Experimental results for passive tracer dispersion in the turbulent surface layer under convective conditions are presented. In this case, the dispersion of tracer particles is determined by the interplay of two mechanisms: buoyancy and…

Chaotic Dynamics · Physics 2014-08-26 Alex Skvortsov , Milan Jamriska , Timothy C DuBois
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