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Using Monte Carlo simulations, we systematically investigate the effect of particle size distribution on the phase behaviour of polydisperse hard disks. Compared with the commonly used Gaussian-like polydisperse hard disks [Commun. Phys. 2,…

Soft Condensed Matter · Physics 2020-11-04 Pablo Sampedro Ruiz , Ran Ni

In this paper we study the motion of two particles diffusing on low-dimensional discrete structures in presence of a hard-core repulsive interaction. We show that the problem can be mapped in two decoupled problems of single particles…

Statistical Mechanics · Physics 2009-11-07 R. Burioni , D. Cassi , G. Giusiano , S. Regina

I consider the coupled one-dimensional diffusion of a cluster of N classical particles with contact repulsion. General expressions are given for the probability distributions, allowing to obtain the transport coefficients. In the limit of…

Condensed Matter · Physics 2009-10-31 Claude Aslangul

Single-file diffusion refers to the motion in narrow channels of particles which cannot bypass each other. These strong correlations between particles lead to tracer subdiffusion, which has been observed in contexts as varied as transport…

Statistical Mechanics · Physics 2021-12-08 Alexis Poncet , Aurélien Grabsch , Pierre Illien , Olivier Bénichou

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

Analysis of PDEs · Mathematics 2012-01-06 Maria Bruna , S. Jonathan Chapman

The dynamics of dense finite-size particles in vertical channel flows of Newtonian and viscoelastic carrier fluids are examined using particle resolved simulations. Comparison to neutrally buoyant particles in the same configuration…

Fluid Dynamics · Physics 2021-05-26 Amir Esteghamatian , Tamer A. Zaki

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…

Soft Condensed Matter · Physics 2017-04-27 Sheida Ahmadi , Richard K. Bowles

Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated…

Statistical Mechanics · Physics 2015-05-14 Hidetsugu Sakaguchi

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

We perform extensive MD simulations of two-dimensional systems of hard disks, focusing on the \emph{on}-collision statistical properties. We analyze the distribution functions of velocity, free flight time and free path length for packing…

Statistical Mechanics · Physics 2015-09-02 Alessandro Taloni , Yasmine Meroz , Adrián Huerta

We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially-dependent diffusion coefficient of the form $D(x)\sim |x|^c$, at constant temperature. The particle's probability distribution function…

Statistical Mechanics · Physics 2016-08-03 Shaked Regev , Niels Grønbech-Jensen , Oded Farago

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

Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle…

Statistical Mechanics · Physics 2014-05-12 Marcin Mińkowski , Magdalena A. Załuska Kotur

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

We study propagation dynamics of a particle phase in a single-file pore connected to a reservoir of particles (bulk liquid phase). We show that the total mass $M(t)$ of particles entering the pore up to time $t$ grows as $M(t) = 2…

Soft Condensed Matter · Physics 2007-05-23 A. M. Lacasta , J. M. Sancho , F. Sagues , G. Oshanin

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…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

Statistical Mechanics · Physics 2020-09-01 Francisco J. Sevilla

We study the interface dynamics of a binary particle mixture in a rotating cylinder numerically. By considering only the particle motion in axial direction, it is shown that the initial dynamics can be well described by a one-dimensional…

Soft Condensed Matter · Physics 2007-05-23 Christian M. Dury , Gerald H. Ristow

We study agitated frictional disks in two dimensions with the aim of developing a scaling theory for their diffusion over time. As a function of the area fraction $\phi$ and mean-square velocity fluctuations $\langle v^2\rangle$ the…

Soft Condensed Matter · Physics 2019-10-09 H. G. E. Hentschel , Itamar Procaccia , Saikat Roy