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We consider single-file diffusion in an open system with two species $A,B$ of particles. At the boundaries we assume different reservoir densities which drive the system into a non-equilibrium steady state. As a model we use an…

统计力学 · 物理学 2007-05-23 A. Brzank , G. M. Schütz

Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical physics. Various microscopic models of single-file systems…

统计力学 · 物理学 2023-01-13 Pierre Rizkallah , Aurélien Grabsch , Pierre Illien , Olivier Bénichou

The crossover from single-file diffusion, where the mean-square displacement scales as <x^2> ~t^(1/2), to normal Fickian diffusion, where <x^2>~t$, is studied as a function of channel width for colloidal particles. By comparing Brownian…

软凝聚态物质 · 物理学 2010-01-07 J. Sané , J. T. Padding , A. A. Louis

Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the famed Fick-Jacobs equation focus on the idealised case of…

统计力学 · 物理学 2014-12-24 Max Bauer , Aljaz Godec , Ralf Metzler

We study a driven many particle system comprising of two identical lanes of finite lengths. On one lane, particles hop diffusively with a bias in a specific direction. On the other lane, particles hop in a specific direction obeying mutual…

统计力学 · 物理学 2015-06-03 Bappa Saha , Sutapa Mukherji

We consider an interacting particle system in the interval $[1,N]$ with reservoirs at the boundaries. While the dynamics in the channel is the simple symmetric exclusion process, the reservoirs are also particle systems which interact with…

概率论 · 数学 2018-12-05 Thu Dang Thien Nguyen

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…

软凝聚态物质 · 物理学 2013-01-10 D. Lucena , D. V. Tkachenko , K. Nelissen , V. R. Misko , W. P. Ferreira , G. A. Farias , F. M. Peeters

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

软凝聚态物质 · 物理学 2019-09-10 Narender Khatri , P. S. Burada

Single file diffusion (SFD) exhibits anomalously slow collective transport when particles are able to immobilize by binding and unbinding to the one-dimensional channel within which the particles diffuse. We have explored this system for…

统计力学 · 物理学 2021-09-15 Spencer Farrell , Andrew D Rutenberg

Diffusion of a two component fluid is studied in the framework of differential equations, but where these equations are systematically derived from a well-defined microscopic model. The model has a finite carrying capacity imposed upon it…

统计力学 · 物理学 2015-06-04 D. Fanelli , A. J. McKane , G. Pompili , B. Tiribilli , M. Vassalli , T. Biancalani

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…

软凝聚态物质 · 物理学 2016-07-25 Emanuele Locatelli , Matteo Pierno , Fulvio Baldovin , Enzo Orlandini , Yizhou Tan , Stefano Pagliara

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…

统计力学 · 物理学 2009-11-13 Tobias Ambjornsson , Ludvig Lizana , Michael A. Lomholt , Robert J. Silbey

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

统计力学 · 物理学 2014-02-26 Artem Ryabov , Petr Chvosta

A colloidal monolayer embedded in the bulk of a fluid experiences a "compressible", long-range hydrodynamic interaction which, far from boundaries, leads to a breakdown of Fick's law above a well defined length scale, showing up as…

软凝聚态物质 · 物理学 2026-05-12 M. Chamorro-Burgos , Alvaro Domínguez

We investigate the long-time behavior of the survival probability of a tagged particle in a single-file diffusion in a finite interval. The boundary conditions are of two types: 1) one boundary is absorbing the second is reflecting, 2) both…

统计力学 · 物理学 2013-05-01 Artem Ryabov

Particles confined to a single file, in a narrow quasi-one dimensional channel, exhibit a dynamic crossover from single file diffusion to Fickian diffusion as the channel radius increases and the particles can begin to pass each other. The…

软凝聚态物质 · 物理学 2017-04-27 Sheida Ahmadi , Richard K. Bowles

We use discontinuous molecular dynamics and grand-canonical transition-matrix Monte Carlo simulations to explore how confinement between parallel hard walls modifies the relationships between packing fraction, self-diffusivity, partial…

软凝聚态物质 · 物理学 2009-11-13 Jeetain Mittal , Vincent K. Shen , Jeffrey R. Errington , Thomas M. Truskett

This paper revisits the modeling of multicomponent diffusion within the framework of thermodynamics of irreversible processes. We briefly review the two well-known main approaches, leading to the generalized Fick-Onsager multicomponent…

数学物理 · 物理学 2020-08-13 Dieter Bothe , Pierre-Etienne Druet

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

统计力学 · 物理学 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

We consider transport diffusion in a stochastic billiard in a random tube which is elongated in the direction of the first coordinate (the tube axis). Inside the random tube, which is stationary and ergodic, non-interacting particles move…

概率论 · 数学 2010-04-13 Francis Comets , Serguei Popov , Gunter M. Schütz , Marina Vachkovskaia
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