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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

The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a single-file geometry, in which the particles cannot cross. In this model, the study of currents have attracted a lot of attention. In particular, the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

Tracer diffusion in single-file systems, where particles are restricted to move on a line without passing each other, has been a fertile ground to investigate anomalous diffusion and strong memory effects. While the long-time behavior of…

Statistical Mechanics · Physics 2025-05-28 Alexis Poncet , Aurélien Grabsch , Olivier Bénichou

Strong positional correlations between particles render the diffusion of a tracer particle in a single file anomalous and non-Markovian. While ensemble average observables of tracer particles are nowadays well understood, little is known…

Statistical Mechanics · Physics 2018-11-15 Alessio Lapolla , Aljaz Godec

Single-file diffusion is a paradigmatic model for the transport of Brownian colloidal particles in narrow one-dimensional channels, such as those found in certain porous media, where the particles cannot cross each other. We consider a…

Statistical Mechanics · Physics 2025-01-07 Benjamin Sorkin , David S. Dean

We study the statistics of a tagged particle in single-file diffusion, a one-dimensional interacting infinite-particle system in which the order of particles never changes. We compute the two-time correlation function for the displacement…

Statistical Mechanics · Physics 2016-04-18 P. L. Krapivsky , Kirone Mallick , Tridib Sadhu

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

We investigate the effective diffusion of a tracer immersed in an active particle bath consisting of self-propelled particles. Utilising the Dean's method developed for the equilibrium bath and extending it to the nonequilibrium situation,…

Soft Condensed Matter · Physics 2024-06-27 Mengkai Feng , Zhonghuai Hou

The term single file (SF) dynamics refers to the motion of an assembly of particles through a channel with cross-section comparable to the particles' diameter. Single file diffusion (SFD) is then the diffusion of a tagged particle in a…

Soft Condensed Matter · Physics 2022-06-09 Alessandro Taloni , Ophir Flomenbom , Ramon Castaneda-Priego , Fabio Marchesoni

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

We consider a gas of point particles moving on the one-dimensional line with a hard-core inter-particle interaction that prevents particle crossings --- this is usually referred to as single-file motion. The individual particle dynamics can…

Statistical Mechanics · Physics 2016-11-15 Sanjib Sabhapandit , Abhishek Dhar

We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically…

Statistical Mechanics · Physics 2015-05-27 Jean-Baptiste Delfau , Christophe Coste , Michel Saint-Jean

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 computationally study the effects of binding kinetics to the channel wall, leading to transient immobility, on the diffusive transport of particles within narrow channels, that exhibit single-file diffusion (SFD). We find that slow…

Statistical Mechanics · Physics 2018-08-22 Spencer G. Farrell , Andrew D. Rutenberg

We study a minimal model of self-propelled particle in a crowded single-file environment. We extend classical models of exclusion processes (previously analyzed for diffusive and driven tracer particles) to the case where the tracer…

Statistical Mechanics · Physics 2018-12-26 Thibault Bertrand , Pierre Illien , Olivier Bénichou , Raphaël Voituriez

We apply the macroscopic fluctuation theory to analyze the long-time statistics of the position of a tracer in the dense and the dilute limits of diffusive single-file systems. Our explicit results are about the corresponding large…

Statistical Mechanics · Physics 2023-02-01 Jagannath Rana , Tridib Sadhu

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have…

Statistical Mechanics · Physics 2009-11-13 Tobias Ambjornsson , Ludvig Lizana , Michael A. Lomholt , Robert J. Silbey

We consider a gas of point particles moving in a one-dimensional channel with a hard-core inter-particle interaction that prevents particle crossings --- this is called single-file motion. Starting from equilibrium initial conditions we…

Statistical Mechanics · Physics 2016-11-15 Chaitra Hegde , Sanjib Sabhapandit , Abhishek Dhar

Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this…

Soft Condensed Matter · Physics 2017-03-08 Takeshi Ooshida , Susumu Goto , Takeshi Matsumoto , Michio Otsuki

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

Statistical Mechanics · Physics 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto