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We study the mean-square displacement (MSD) of a tracer particle diffusing in a granular gas of inelastic hard spheres under homogeneous cooling state (HCS). Tracer and granular gas particles are in general mechanically different. Our…

Statistical Mechanics · Physics 2026-01-29 Santos Bravo Yuste , Rubén Gómez González , Vicente Garzó

Recent advances in light microscopy have spawned new research frontiers in microbiology by working around the diffraction barrier and allowing for the observation of nanometric biological structures. Microrheology is the study of the…

Probability · Mathematics 2016-07-27 Gustavo Didier , Kui Zhang

Several experiments on tagged molecules or particles in living systems suggest that they move anomalously slow - their mean squared displacement (MSD) increase slower than linearly with time. Leading models aimed at understanding these…

Statistical Mechanics · Physics 2017-01-04 Ludvig Lizana , Tobias Ambjörnsson , Michael A. Lomholt

We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume…

Soft Condensed Matter · Physics 2014-12-24 Surya K. Ghosh , Andrey G. Cherstvy , Ralf Metzler

There have been increasing reports that the diffusion coefficient of macromolecules depends on time and fluctuates randomly. Here, a novel method to elucidate the fluctuating diffusivity from trajectory data is developed. The time-averaged…

Statistical Mechanics · Physics 2017-10-25 Tomoshige Miyaguchi

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

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

Interacting particles diffusing in single-file is a fundamental model of transport in narrow channels where particles cannot bypass each other. An important result has been obtained by Kollmann [Phys. Rev. Lett. 90, 180602 (2003)] for the…

Statistical Mechanics · Physics 2025-07-24 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

Non-reciprocal interactions play a key role in shaping transport in active and passive systems, giving rise to striking nonequilibrium behavior. Here, we study the dynamics of a tracer -- active or passive -- embedded in a bath of active or…

Statistical Mechanics · Physics 2026-01-08 Subhajit Paul , Debasish Chaudhuri

We study the dynamics of a tracer particle, which performs a totally directed random walk in an adsorbed monolayer composed of mobile hard-core particles undergoing continuous exchanges with a vapour phase. In terms of a mean-field-type…

Statistical Mechanics · Physics 2009-10-31 O. Benichou , A. M. Cazabat , M. Moreau , G. Oshanin

Subdiffusive motion of tracer particles in complex crowded environments, such as biological cells, has been shown to be widepsread. This deviation from brownian motion is usually characterized by a sublinear time dependence of the mean…

Statistical Mechanics · Physics 2009-11-13 S. Condamin , V. Tejedor , R. Voituriez , O. Benichou , J. Klafter

Tracer diffusion in crowded environments is central to many biological and soft matter systems, but quantitative frameworks for linking tracer motion to environmental structure remain limited. Here, we study the transport of rigid tracers…

Soft Condensed Matter · Physics 2026-05-07 Jinseok Lee , Tong Lin , Mengyang Gu , Yimin Luo

We describe a method to track particles undergoing large displacements. Starting with a list of particle positions sampled at different time points, we assign particle identities by minimizing the sum across all particles of the trace of…

Soft Condensed Matter · Physics 2016-09-02 Rostislav Boltyanskiy , Jason W. Merrill , Eric R. Dufresne

Miscible tracer dispersion measurements in transparent model fractures with different types of wall roughness are reported. The nature (Fickian or not) of dispersion is determined by studying variations of the mixing front as a function of…

The turbulent diffusion of Lagrangian tracer particles has been studied in a flow on the surface of a large tank of water and in computer simulations. The effect of flow compressibility is captured in images of particle fields. The velocity…

Chaotic Dynamics · Physics 2009-11-10 John R. Cressman , Walter I. Goldburg , Joerg Schumacher

The diffusion motions of individual polymer aggregates in disordered porous media were visualized using the single particle tracking (SPT) method because the motions inside porous media play important roles in various fields of science and…

Soft Condensed Matter · Physics 2024-10-24 Yusaku Abe , Naoki Tomioka , Yu Matsuda

When probe molecules of interest are embedded in a container or aggregate under stochastic motion, one needs to rely on the so-called two-point mean square displacement (MSD) measurement to extract the intrinsic mobility of the probes. We…

Soft Condensed Matter · Physics 2025-08-06 Naoya Katayama , Takahiro Sakaue

A topic of intense current investigation pursues the question how the highly crowded environment of biological cells affects the dynamic properties of passively diffusing particles. Motivated by recent experiments we report results of…

Statistical Mechanics · Physics 2016-09-28 Surya K. Ghosh , Andrey G. Cherstvy , Denis S. Grebenkov , Ralf Metzler

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

Chaotic Dynamics · Physics 2011-07-29 Alex Skvortsov , Milan Jamriska , Timothy C. DuBois

In this article we present methods for measuring hindered Brownian motion in the confinement of complex 3D geometries using digital video microscopy. Here we discuss essential features of automated 3D particle tracking as well as diffusion…

Fluid Dynamics · Physics 2014-08-20 Simon L Dettmer , Ulrich F Keyser , Stefano Pagliara
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