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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

Transport coefficients associated with the mass flux of impurities immersed in a moderately dense granular gas of hard disks or spheres described by the inelastic Enskog equation are obtained by means of the Chapman-Enskog expansion. The…

统计力学 · 物理学 2013-05-29 Vicente Garzo , Francisco Vega Reyes

We consider the inelastic Maxwell model, which consists of a collection of particles that are characterized by only their velocities, and evolving through binary collisions and external driving. At any instant, a particle is equally likely…

统计力学 · 物理学 2015-07-23 V. V. Prasad , Sanjib Sabhapandit , Abhishek Dhar

This review is a kinetic theory study investigating the effects of inelasticity on the structure of the non-equilibrium states, in particular on the behavior of the velocity distribution in the high energy tails. Starting point is the…

统计力学 · 物理学 2007-05-23 R. Brito , M. H. Ernst

The Navier--Stokes transport coefficients of multicomponent granular suspensions at moderate densities are obtained in the context of the (inelastic) Enskog kinetic theory. The suspension is modeled as an ensemble of solid particles where…

统计力学 · 物理学 2020-01-20 Rubén Gómez González , Nagi Khalil , Vicente Garzó

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

软凝聚态物质 · 物理学 2025-11-07 Rubén Gómez González , Vicente Garzó

We compare the steady state velocity distributions from our three-dimensional inelastic hard sphere molecular dynamics simulation for homogeneously heated granular media, with the predictions of a mean field-type Enskog-Boltzmann equation…

软凝聚态物质 · 物理学 2009-11-07 Sung Joon Moon , M. D. Shattuck , J. B. Swift

The diffusion of tracer particles immersed in a granular gas under uniform shear flow (USF) is analyzed within the framework of the inelastic Boltzmann equation. Two different but complementary approaches are followed to achieve exact…

软凝聚态物质 · 物理学 2026-01-01 David González Méndez , Vicente Garzó

In this work we explicitly calculate the thermal conductivity for a general bidimensional dilute gas of neutral molecules by solving Boltzmann's equation. Chapman-Enskog's method is used in order to analytically obtain this transport…

流体动力学 · 物理学 2016-11-11 A. R. Méndez , A. L. Garcia-Perciante , E. S. Escobar-Aguilar

The transport coefficients of a dilute classical gas in the presence of a drag force proportional to the velocity of the particle are determined from the Boltzmann equation. The viscous drag force could model the friction of solid particles…

统计力学 · 物理学 2015-06-18 José Carlos Pérez-Fuentes , Vicente Garzó

The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the…

统计力学 · 物理学 2013-05-01 Umberto Marini Bettolo Marconi , Simone Melchionna

The transport coefficients of a granular binary mixture driven by a stochastic bath with friction are determined from the inelastic Boltzmann kinetic equation. A normal solution is obtained via the Chapman-Enskog method for states near…

统计力学 · 物理学 2013-11-20 Nagi Khalil , Vicente Garzó

In this paper, we examine how to build coarse-grain transport models consistently from the kinetic to fluid regimes. The internal energy of the gas particles is described through a state-to-state approach. A kinetic equation allows us to…

流体动力学 · 物理学 2021-03-15 Erik Torres , Georgios Bellas-Chatzigeorgis , Thierry E. Magin

Transport coefficients are of crucial importance in theoretical as well as experimental studies. Despite substantial research on classical hard sphere/disk gases in low and high density regimes, a thorough investigation of transport…

统计力学 · 物理学 2020-08-04 Malihe Ghodrat

The Navier-Stokes transport coefficients for a granular gas of smooth inelastic hard disks or spheres are determined from the inelastic Boltzmann equation by means of Grad's moment method. The shear viscosity $\eta$, the thermal…

统计力学 · 物理学 2015-06-12 V. Garzó

We consider a new kinetic equation for systems with a multistep potential of interaction proposed by us recently in Physica A 234 (1996) 89. This potential consists of the hard sphere part and a system of attractive and repulsive walls.…

统计力学 · 物理学 2007-05-23 M. V. Tokarchuk , I. P. Omelyan , A. E. Kobryn

We study a generic class of inelastic soft sphere models with a binary collision rate $g^\nu$ that depends on the relative velocity $g$. This includes previously studied inelastic hard spheres ($\nu=1$) and inelastic Maxwell molecules…

统计力学 · 物理学 2007-05-23 M. H. Ernst , E. Trizac , A. Barrat

Granular matter under rapid flow conditions can be modeled as a granular gas, namely, a gas of hard spheres dissipating part of their kinetic energy during binary collisions (inelastic hard spheres, IHS). On the other hand, given that…

软凝聚态物质 · 物理学 2018-03-28 Moisés G. Chamorro

The Enskog kinetic equation is considered to determine the mobility $\lambda$ and diffusion $D$ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a…

软凝聚态物质 · 物理学 2024-02-27 Rubén Gómez González , Vicente Garzó

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics…

等离子体物理 · 物理学 2018-06-08 Diego S. Oliveira , Ricardo M. O. Galvão