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We investigate diffusion in a polydisperse granular media. We derive mean-squared displacement of granular particles in a polydisperse granular gas in a homogeneous cooling state, containing arbitrary amount of species of different sizes…

软凝聚态物质 · 物理学 2024-03-21 Anna S. Bodrova

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

混沌动力学 · 物理学 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

We explore the emergence of nonequilibrium collective motion in disordered non-thermal active matter when persistent motion and crowding effects compete, using simulations of a two-dimensional model of size polydisperse self-propelled…

软凝聚态物质 · 物理学 2022-07-27 Yann-Edwin Keta , Robert L. Jack , Ludovic Berthier

The most efficient way to pack equally sized spheres isotropically in 3D is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution…

软凝聚态物质 · 物理学 2010-01-05 Robert S. Farr , Robert D. Groot

We study relaxation towards a stationary out of equilibrium state by analizing a one-dimensional stochastic process followed by a particle accelerated by an external field and propagating through a thermal bath. The effect of collisions is…

统计力学 · 物理学 2010-09-17 Angel Alastuey , Jaroslaw Piasecki

We use a recently-derived reformulation of the diffusion constant [Stillinger F H and Debenedetti P G 2005 J. Phys. Chem. B 109 6604] to investigate heterogeneous dynamics and non-Gaussian diffusion in a binary Lennard-Jones mixture. Our…

软凝聚态物质 · 物理学 2007-05-23 M. Scott Shell , Pablo G. Debenedetti , Frank H. Stillinger

Many features of granular media can be modeled by a fluid of hard spheres with inelastic collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations accounting for dissipation…

统计力学 · 物理学 2007-05-23 V. Garzo , J. W. Dufty

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

统计力学 · 物理学 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

The dynamical properties of a tracer or impurity particle immersed in a host gas of inelastic and rough hard spheres in the homogeneous cooling state is studied. Specifically, the breakdown of energy equipartition as characterized by the…

软凝聚态物质 · 物理学 2019-10-02 Francisco Vega Reyes , Antonio Lasanta , Andrés Santos , Vicente Garzó

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

软凝聚态物质 · 物理学 2013-05-10 Nikolai V. Priezjev

The velocity distribution of inelastic granular gas is examined numerically on two dimensional hard disk system in nearly elastic regime using molecular dynamical simulations. The system is prepared initially in the equilibrium state with…

统计力学 · 物理学 2009-11-07 Hiizu Nakanishi

We study a kinetic model for non-reactive mixtures of monatomic gases with hard-sphere cross-sections under isothermal condition. By considering a diffusive scaling of the kinetic model and using the method of moments, we formally obtain…

计算物理 · 物理学 2020-04-24 Benjamin Anwasia

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

统计力学 · 物理学 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

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…

软凝聚态物质 · 物理学 2024-09-12 Rajkumar Biswas , Anoop Mutneja , Smarajit Karmakar , Ranjini Bandyopadhyay

This article is devoted to the study of the dynamical behavior of a collisionless kinetic gas in d=1,2,3 space dimensions which is trapped in a rotationally symmetric potential well. Although at the microscopic level the trajectories of…

广义相对论与量子宇宙学 · 物理学 2020-08-19 Paola Rioseco , Olivier Sarbach

We investigate the diffusion asymptotics of the Boltzmann equation for gaseous mixtures, in the perturbative regime around a local Maxwellian vector whose fluid quantities solve a flux-incompressible Maxwell-Stefan system. Our framework is…

偏微分方程分析 · 数学 2019-10-21 Andrea Bondesan , Marc Briant

We develop a kinetic-theory framework to investigate the steady rheology of a dilute gas interacting via a repulsive potential under uniform shear flow. Starting from the Boltzmann equation with a restitution coefficient that depends on the…

软凝聚态物质 · 物理学 2026-04-23 Yuria Kobayashi , Makoto R. Kikuchi , Shunsuke Iizuka , Satoshi Takada

We consider a model of a dynamical Lorentz gaz : a single particle is moving in $\mathbb{R}^d$ through an array of fixed an soft scatterers each possessing an internal degree of freedom coupled to the particle. Assuming the initial velocity…

概率论 · 数学 2018-07-04 Émilie Soret

A steady self-diffusion process in a gas of hard spheres at equilibrium is analyzed. The system exhibits a constant gradient of labeled particles. Neither the concentration of these particles nor its gradient are assumed to be small. It is…

统计力学 · 物理学 2015-06-17 J. Javier Brey , M. J. Ruiz-Montero

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

软凝聚态物质 · 物理学 2021-03-09 Benaoumeur Bakhti , Gerhard Müller