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In one-dimension, the diffusion of particles along a line is slowed by the addition of energy barriers. The same is true in two-dimensions, provided that the confining channel in which the particles move doesn't change shape. However, if…

Statistical Mechanics · Physics 2022-06-08 Thomas Gray , Claudio Castelnovo , Ee Hou Yong

Single-file diffusion is a one-dimensional interacting infinite-particle system in which the order of particles never changes. An intriguing feature of single-file diffusion is that the mean-square displacement of a tagged particle exhibits…

Statistical Mechanics · Physics 2015-06-03 Paul L. Krapivsky , Kirone Mallick , Tridib Sadhu

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

Single-file diffusion is a ubiquitous physical process exploited by living and synthetic systems to exchange molecules with their environment. It is paramount quantifying the escape time needed for single files of particles to exit from…

Soft Condensed Matter · Physics 2016-07-25 Emanuele Locatelli , Matteo Pierno , Fulvio Baldovin , Enzo Orlandini , Yizhou Tan , Stefano Pagliara

Diffusive properties of a monodisperse system of interacting particles confined to a \textit{quasi}-one-dimensional (Q1D) channel are studied using molecular dynamics (MD) simulations. We calculate numerically the mean-squared displacement…

Soft Condensed Matter · Physics 2013-01-10 D. Lucena , D. V. Tkachenko , K. Nelissen , V. R. Misko , W. P. Ferreira , G. A. Farias , F. M. Peeters

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

Statistical Mechanics · Physics 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

The single file diffusion in a circular channel of millimetric charged balls is studied. The evolution in time of the mean square displacement is shown to be subdiffusive, but slower than the power-like $t^{1/2}$ behavior observed in…

Statistical Mechanics · Physics 2007-05-23 Gwennou Coupier , Michel Saint Jean , Claudine Guthmann

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

Active particles may happen to be confined in channels so narrow that they cannot overtake each other (Single File conditions). This interesting situation reveals nontrivial physical features as a consequence of the strong inter-particle…

Statistical Mechanics · Physics 2015-06-19 Emanuele Locatelli , Fulvio Baldovin , Enzo Orlandini , Matteo Pierno

The performance of nanoscale magnetic devices is often limited by the presence of thermal fluctuations, while in micro-nanofluidic applications the same fluctuations may be used to spread reactants or drugs. Here we demonstrate the…

Soft Condensed Matter · Physics 2019-01-30 Ralph L. Stoop , Arthur V. Straube , Pietro Tierno

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 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

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

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

Single-file transport refers to the motion of particles in a narrow channel, such that they cannot bypass each other. This constraint leads to strong correlations between the particles, described by correlation profiles, which measure the…

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

The single-file problem of N particles in one spatial dimension is analyzed, when each particle has a randomly distributed diffusion constant D sampled in a density $\rho(D)$. The averaged one-particle distributions of the edge particles…

Statistical Mechanics · Physics 2009-10-31 Claude Aslangul

The rectification of a single file of attracting particles subjected to a low frequency ac drive is proposed as a working mechanism for particle shuttling in an asymmetric narrow channel. Increasing the particle attraction results in the…

Statistical Mechanics · Physics 2011-03-17 Andrey Pototsky , Andrew J. Archer , Michael Bestehorn , Domnic Merkt , Sergey Savel'ev , Fabio Marchesoni

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

Diffusive properties of interacting magnetic dipoles confined in a parabolic narrow channel and in the presence of a periodic modulated (corrugated) potential along the unconfined direction are studied using Brownian dynamics simulations.…

Soft Condensed Matter · Physics 2014-03-17 D. Lucena , J. E. Galván-Moya , W. P. Ferreira , F. M. Peeters
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