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Statistical properties of the front of a semi-infinite system of single-file diffusion (one dimensional system where particles cannot pass each other, but in-between collisions each one independently follow diffusive motion) are…

Statistical Mechanics · Physics 2007-05-23 Sanjib Sabhapandit

We address the now classical problem of a diffusion process that crosses over from a ballistic behavior at short times to a fractional diffusion (sub- or super-diffusion) at longer times. Using the standard non-Markovian diffusion equation…

Statistical Mechanics · Physics 2015-05-14 Valery Ilyin , Itamar Procaccia , Anatoly Zagorodny

We study the relaxation of a test particle immersed in a bath of field particles interacting via weak long-range forces. To order 1/N in the $N\to +\infty$ limit, the velocity distribution of the test particle satisfies a Fokker-Planck…

Statistical Mechanics · Physics 2009-11-11 P. H. Chavanis

We study the spontaneous motion, binary collisions, and collective dynamics of "polar disks", i.e. purpose-built particles which, when vibrated between two horizontal plates, move coherently along a direction strongly correlated to their…

Soft Condensed Matter · Physics 2016-01-19 Julien Deseigne , Sébastien Léonard , Olivier Dauchot , Hugues Chaté

We study the non-equilibrium steady-states of a one-dimensional ($1D1V$) fluid in a finite space region of length $L$. Particles interact among themselves by multi-particle collisions and are in contact with two thermal-wall heat…

Statistical Mechanics · Physics 2021-03-08 Stefano Lepri , Guido Ciraolo , Pierfrancesco Di Cintio , Jamie Gunn , Roberto Livi

We present here a summary of some recent techniques used for atomistic studies of thin film growth and morphological evolution. Specific attention is given to a new kinetic Monte Carlo technique in which the usage of unique labeling schemes…

Materials Science · Physics 2009-11-11 Talat S. Rahman , Chandana Ghosh , Oleg Trushin , Abdelkader Kara , Altaf Karim

Deterministic diffusion in temporally oscillating convection is studied for particles with finite mass. The particles are assumed to obey a simple dissipative dynamical system and the particle diffusion is induced by the strange attractor.…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

Soft Condensed Matter · Physics 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky

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…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

Statistical Mechanics · Physics 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

Being able to accurately model and predict the dynamics of dispersed inclusions transported by a turbulent flow, remains a challenge with important scientific, environmental and economical issues. One critical and difficult point is to…

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials,…

Statistical Mechanics · Physics 2009-11-13 C. Dotti , A. Gambassi , M. N. Popescu , S. Dietrich

Starting from a particle model describing self-propelled particles interacting through nematic alignment, we derive a macroscopic model for the particle density and mean direction of motion. We first propose a mean-field kinetic model of…

Mathematical Physics · Physics 2019-10-08 Pierre Degond , Sara Merino-Aceituno

Anomalous behavior of correlation functions of tagged particles are studied in generalizations of the one dimensional asymmetric exclusion problem. In these generalized models the range of the hard-core interactions are changed and the…

Statistical Mechanics · Physics 2009-11-07 Anderson A. Ferreira , Francisco C. Alcaraz

We analyze diffusion of particles on a two dimensional square lattice. Each lattice site contains an arbitrary number of particles. Interactions affect particles only in the same site, and are macroscopically represented by the excess…

Statistical Mechanics · Physics 2022-08-17 Matías A. Di Muro , Miguel Hoyuelos

We study the diffusive behaviour of interacting active particles (self-propelled) with mass $m$ in an asymmetric channel. The particles are subjected to an external oscillatory force along the length of the channel. In this setup, particles…

Soft Condensed Matter · Physics 2023-08-28 Ankit Gupta , P. S. Burada

We probe the diffusive motion of particles in slowly sheared three dimensional granular suspensions. For sufficiently large strains, the particle dynamics exhibits diffusive Gaussian statistics, with the diffusivity proportional to the…

Soft Condensed Matter · Physics 2015-06-11 Elie Wandersman , Joshua A. Dijksman , Martin van Hecke

The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow is completely deterministic, described by an interaction…

Statistical Mechanics · Physics 2021-01-12 Jennifer Weissen , Simone Göttlich , Dieter Armbruster

We consider a three dimensional system consisting of a large number of small spherical particles, distributed in a range of sizes and heights (with uniform distribution in the horizontal direction). Particles move vertically at a…

Statistical Mechanics · Physics 2007-12-05 P. Horvai , S. V. Nazarenko , T. H. M. Stein