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We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We study the dynamics of a tracer in a dense mixture of particles connected to different thermostats. Starting from the overdamped Langevin equations that describe the evolution of the system, we derive the expression of the self-diffusion…

Soft Condensed Matter · Physics 2022-12-28 Marie Jardat , Vincent Dahirel , Pierre Illien

We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions. We study the dynamics of a single tracer…

Statistical Mechanics · Physics 2022-02-11 Tirthankar Banerjee , Robert L. Jack , Michael E. Cates

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

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

Tracking of individual particle and studying their motion serves as a direct means to understand the dynamics in crowded and complex environments. In this study, the dynamics of tracer particles in the matrix of dense soft-colloidal…

Soft Condensed Matter · Physics 2023-06-28 Jimpaul Samukcham , Lenin S. Shagolsem

The dynamics of a tracer particle in a bath of quasi-hard colloidal spheres is studied by Langevin dynamics simulations and mode coupling theory (MCT); the tracer radius is varied from equal to up to 7 times larger than the bath particles…

Soft Condensed Matter · Physics 2023-08-01 Francisco Orts , Manuel Maier , Matthias Fuchs , Gloria Ortega , Ester M. Garzón , Antonio M. Puertas

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

Statistical Mechanics · Physics 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

This study examines the dynamics of a tracer particle diffusing in a nonequilibrium medium under stochastic resetting. The nonequilibrium state is induced by harmonic coupling between the tracer and bath particles, generating memory effects…

Statistical Mechanics · Physics 2025-02-04 Koushik Goswami

A polar tracer immersed in an active bath is known to be propelled forward and therefore activated. Here we report that the induced dynamics of an inertial tracer can be much richer than expected. We investigate a heavy polar tracer…

Statistical Mechanics · Physics 2026-05-14 Jing-Bo Zeng , Ji-Hui Pei

We study the dynamics of a zero-temperature particle interacting linearly with a bath of hot Brownian particles. Starting with the most general model of a linearly-coupled bath, we eliminate the bath degrees of freedom exactly to map the…

Statistical Mechanics · Physics 2026-03-24 Amer Al-Hiyasat , Sunghan Ro , Julien Tailleur

We study a two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is the same as in our previous work [J. Chem. Phys. 140, 044706 (2014)] in which standard, gaussian…

Chemical Physics · Physics 2020-03-17 Michał Cieśla , Bartłomiej Dybiec , Ewa Gudowska-Nowak , Igor Sokolov

Our interest goes to the behavior of a tracer particle, accelerated by a constant and uniform external field, when the energy injected by the field is redistributed through collision to a bath of unaccelerated particles. A non equilibrium…

Soft Condensed Matter · Physics 2013-08-16 Matthieu Barbier , Emmanuel Trizac

The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article we generalise this system and…

Statistical Mechanics · Physics 2015-06-18 Robin Forsling , Lloyd Sanders , Tobias Ambjörnsson , Ludvig Lizana

Quantifying the correlations between the position of a tagged tracer and the density of surrounding bath particles is crucial for understanding tracer diffusion in interacting particle systems, and for characterizing the response properties…

Statistical Mechanics · Physics 2025-09-16 Davide Venturelli , Pierre Illien , Aurélien Grabsch , Olivier Bénichou

Gradient-driven diffusion in crowded, multicomponent mixtures is a topic of high interest because of its role in biological processes such as transport in cell membranes. In partially phase-separated solutions, gradient-driven diffusion…

Soft Condensed Matter · Physics 2017-02-15 Prithviraj Nandigrami , Brandy Grove , Andrew Konya , Robin L. B. Selinger

We analyze the dynamics of a tracer particle embedded in a bath of hard spheres confined in a channel of varying section. By means of Brownian dynamics simulations we apply a constant force on the tracer particle and discuss the dependence…

Soft Condensed Matter · Physics 2018-11-14 Antonio M. Puertas , Paolo Malgaretti , Ignacio Pagonabarraga

We explore the relaxation dynamics of a tracer in a harmonic trap coupled to a non-equilibrium bath particle in stationary state, finding qualitative differences compared to the well known equilibrium case. These can be attributed to an…

Statistical Mechanics · Physics 2024-12-16 Ion Santra , Matthias Krüger

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Statistical Mechanics · Physics 2018-05-23 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Alessandro Sarracino , Raphaël Voituriez

Single-file transport, where particles cannot bypass each other, has been observed in various experimental setups. In such systems, the behaviour of a tracer particle (TP) is subdiffusive, which originates from strong correlations between…

Statistical Mechanics · Physics 2019-11-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin