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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

Consider $N$ particles performing random walks on the $\epsilon$-grid $(\epsilon Z)^d$, $\epsilon>0$ with branching and density-dependent selection: When one of the particles branches, a particle is removed from the most populated site. The…

Probability · Mathematics 2026-01-30 Rami Atar , Leonid Mytnik , Gershon Wolansky

Objects driven through periodically modulated potential-energy landscapes in two dimensions can become locked in to symmetry-selected directions that are independent of the driving force's orientation. We investigate this problem in the…

Soft Condensed Matter · Physics 2007-05-23 Kosta Ladavac , Matthew Pelton , David G. Grier

We prove a Large Deviations Principle (LDP) for systems of diffusions (particles) interacting through their ranks, when the number of particles tends to infinity. We show that the limiting particle density is given by the unique solution of…

Probability · Mathematics 2017-04-05 Amir Dembo , Mykhaylo Shkolnikov , S. R. Srinivasa Varadhan , Ofer Zeitouni

We consider a general system of n noninteracting identical particles which evolve under a given dynamical law and whose initial microstates are a priori independent. The time evolution of the n-particle average of a bounded function on the…

chao-dyn · Physics 2021-04-28 Brian R. La Cour , William C. Schieve

Dense mixtures of particles of varying size tend to segregate based on size during flow. Granular size-segregation plays an important role in many industrial and geophysical processes, but the development of coupled, continuum models…

Soft Condensed Matter · Physics 2024-08-13 Harkirat Singh , Daren Liu , David L. Henann

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

Soft Condensed Matter · Physics 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

By means of Molecular Dynamics simulations, we investigate the elementary process of avalanches and size segregation by surface flow in 2 dimensions: a single ball confined to moving along an inclined line consisting of balls. The global…

Condensed Matter · Physics 2009-10-28 S. Dippel , G. G. Batrouni , D. E. Wolf

We analyze a simple model of deterministic diffusion. The model consists of a one-dimensional periodic array of scatterers in which point particles move from cell to cell as defined by a piecewise linear map. The microscopic chaotic…

chao-dyn · Physics 2009-10-31 R. Klages , J. R. Dorfman

Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spontaneously align in one-dimensional…

Fluid Dynamics · Physics 2015-05-28 Dmitri Pushkin , Denis Melnikov , Valentina Shevtsova

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We…

Chaotic Dynamics · Physics 2013-05-30 Grigory A. Sizov

We study the drift induced by the passage of two cylinders through an unbounded extent of inviscid incompressible fluid under the assumption that the flow is two-dimensional and steady in the moving frame of reference. The goal is to assess…

Fluid Dynamics · Physics 2016-05-25 Sergei Melkoumian , Bartosz Protas

It has been well established that particulate systems show the jamming transition and critical scaling behaviors associated with it. However, our knowledge is limited to (nearly) monodisperse systems. Recently, a binary mixture of jammed…

Soft Condensed Matter · Physics 2021-05-12 Yusuke Hara , Hideyuki Mizuno , Atsushi Ikeda

The macroscopic behavior of dense suspensions of neutrally-buoyant spheres in turbulent plane channel flow is examined. We show that particles larger than the smallest turbulence scales cause the suspension to deviate from the continuum…

Fluid Dynamics · Physics 2016-09-28 Pedro Costa , Francesco Picano , Luca Brandt , Wim-Paul Breugem

We present a numerical study of the effect that fluid and particle inertia have on the motion of suspended spherical particles through a geometric constriction to understand analogous microfluidic settings, such as pinched flow…

Fluid Dynamics · Physics 2013-06-20 Sumedh R. Risbud , Mingxiang Luo , Joelle Frechette , German Drazer

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

Flocculation is the process whereby particles (i.e., flocs) in suspension reversibly combine and separate. The process is widespread in soft matter and aerosol physics as well as environmental science and engineering. We consider a general…

Dynamical Systems · Mathematics 2018-04-24 Inom Mirzaev , David M. Bortz

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann

The dynamics of dense particle packings near the jamming transition is characterized by correlated particle motion. The growth of dynamical heterogeneities, or strong spatial variations in the motion of the particles constituting the…

Soft Condensed Matter · Physics 2024-09-12 Rajkumar Biswas , Anoop Mutneja , Smarajit Karmakar , Ranjini Bandyopadhyay

We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate…

Statistical Mechanics · Physics 2020-12-02 Davide Gabrielli , D. R. Michiel Renger