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We study the effect of a single driven tracer particle in a bath of other particles performing the random average process on an infinite line using a stochastic hydrodynamics approach. We consider arbitrary fixed as well as random initial…

Statistical Mechanics · Physics 2016-11-03 A. Kundu , J. Cividini

Exact density profiles in the steady state of the one-dimensional fully asymmetric simple exclusion process on semi-infinite chains are obtained in the case of forward-ordered sequential dynamics by taking the thermodynamic limit in our…

Statistical Mechanics · Physics 2009-10-31 Jordan Brankov , Nina Pesheva

Diffusion of impenetrable particles in a crowded one-dimensional channel is referred as the single file diffusion. The particles do not pass each other and the displacement of each individual particle is sub-diffusive. We analyse a simple…

Statistical Mechanics · Physics 2016-04-18 Tridib Sadhu , Bernard Derrida

Single-file diffusion (SFD) is a key mechanism underlying transport phenomena in confined physical and biological systems. In a typical SFD process, microscopic particles are restricted to moving in a narrow channel where they cannot pass…

Soft Condensed Matter · Physics 2025-05-28 A. Akintunde , P. Bayati , H. Row , S. A. Mallory

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

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires a heavy mathematical machinery. There is therefore…

Statistical Mechanics · Physics 2015-06-15 Ludvig Lizana , Michael A. Lomholt , Tobias Ambjörnsson

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

We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case of Brownian point particles with hard-core…

Statistical Mechanics · Physics 2014-11-18 P. L. Krapivsky , Kirone Mallick , Tridib Sadhu

A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This model breaks the particle-hole symmetry observed on an…

Statistical Mechanics · Physics 2009-07-10 Jakub Otwinowski , Stefan Boettcher

In this paper, we study a macroscopic system of electrically interacting metallic beads organized as a sequence along an annulus. A random mechanical shaking mimics the thermal excitation. We exhibit non Fickian diffusion (Single File…

Statistical Mechanics · Physics 2015-05-18 Christophe Coste , Jean-Baptiste Delfau , Catherine Even , Michel Saint Jean

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 consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a $d$ dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical…

Statistical Mechanics · Physics 2020-01-29 Eial Teomy , Ralf Metzler

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

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

Single-file transport, arising in quasi one-dimensional geometries where particles cannot pass each other, is characterized by the anomalous dynamics of a probe, notably its response to an external force. In these systems, the motion of…

Statistical Mechanics · Physics 2018-03-29 Olivier Bénichou , Vincent Démery , Alexis Poncet

The symmetric simple exclusion process (SEP), where diffusive particles cannot overtake each other, is a paradigmatic model of transport in the single-file geometry. In this model, the study of currents has attracted a lot of attention, but…

Statistical Mechanics · Physics 2024-09-12 Aurélien Grabsch , Hiroki Moriya , Kirone Mallick , Tomohiro Sasamoto , Olivier Bénichou

We have used Dynamic Monte Carlo (DMC) methods and analytical techniques to analyze Single-File Systems for which diffusion is infinitely-fast. We have simplified the Master Equation removing the fast reactions and we have introduced a DMC…

Chemical Physics · Physics 2009-11-07 s. V. Nedea , A. P. J. Jansen , J. J. Lukkien

In this work, we present an effective discrete Edwards-Wilkinson equation aimed to describe the single-file diffusion process. The key physical properties of the system are captured defining an effective elasticity, which is proportional to…

Statistical Mechanics · Physics 2010-06-04 P. M. Centres , S. Bustingorry

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

Transport of nanoscale objects in complex, structured environments plays a key role in a wide range of processes, from biomolecular dynamics in extracellular spaces to transport in porous materials such as filters and catalysts. While…