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This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

软凝聚态物质 · 物理学 2026-03-27 David González Méndez , Vicente Garzó

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

The homogeneous steady state of a fluid of inelastic hard spheres immersed in a bath of elastic hard spheres kept at equilibrium is analyzed by means of the first Sonine approximation to the (spatially homogeneous) Enskog--Boltzmann…

统计力学 · 物理学 2007-05-23 Andres Santos

The Navier-Stokes transport coefficients of a granular dense fluid of smooth inelastic hard disks or spheres are explicitly determined by solving the inelastic Enskog equation by means of Grad's moment method. The transport coefficients are…

统计力学 · 物理学 2013-06-27 Vicente Garzó

The revised Enskog approximation for a fluid of hard spheres which lose energy upon collision is discussed for the case that the energy is lost from the normal component of the velocity at collision but is otherwise arbitrary. Granular…

软凝聚态物质 · 物理学 2007-05-23 James F. Lutsko

The transport coefficients of a granular fluid driven by a stochastic bath with friction are obtained by solving the inelastic Enskog kinetic equation from the Chapman-Enskog method. The heat and momentum fluxes as well as the cooling rate…

统计力学 · 物理学 2017-01-05 V. Garzó , M. G. Chamorro , F. Vega Reyes

The Navier-Stokes transport coefficients for a model of a confined quasi-two-dimensional granular gas of smooth inelastic hard spheres are derived from the Enskog kinetic equation. A normal solution to this kinetic equation is obtained via…

统计力学 · 物理学 2026-02-26 Vicente Garzó , Ricardo Brito , Rodrigo Soto

Under many conditions, macroscopic grains flow like a fluid; kinetic theory pred icts continuum equations of motion for this granular fluid. In order to test the theory, we perform event driven molecular simulations of a two-dimensional gas…

统计力学 · 物理学 2009-10-31 C. Bizon , M. D. Shattuck , J. B. Swift , Harry L. Swinney

We evaluate in this work the hydrodynamic transport coefficients of a granular binary mixture in $d$ dimensions. In order to eliminate the observed disagreement (for strong dissipation) between computer simulations and previously calculated…

软凝聚态物质 · 物理学 2009-11-13 Vicente Garzó , Francisco Vega Reyes , José María Montanero

The transport coefficients for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential ($\beta$) restitution are obtained in a unified framework as functions of the…

软凝聚态物质 · 物理学 2021-09-14 Alberto Megías , Andrés Santos

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 linear integral equations defining the Navier-Stokes (NS) transport coefficients for polydisperse granular mixtures of smooth inelastic hard disks or spheres are solved by using the leading terms in a Sonine polynomial expansion.…

统计力学 · 物理学 2009-11-13 V. Garzo , C. M. Hrenya , J. W. Dufty

The existing kinetic theory of gases is based on an analytical approach that becomes intractable for all but the simplest molecules. Here we propose a simple numerical scheme to compute the transport properties of molecular gases in the…

软凝聚态物质 · 物理学 2020-08-25 Xipeng Wang , Simón Ramírez-Hinestrosa , Daan Frenkel

The Boltzmann equation for inelastic and rough hard spheres is considered as a model of a dilute granular gas. In this model, the collisions are characterized by constant coefficients of normal and tangential restitution and hence the…

统计力学 · 物理学 2014-09-03 Gilberto M. Kremer , Andrés Santos , Vicente Garzó

The diffusion transport coefficients of a binary granular suspension where one of the components is present in tracer concentration are determined from the (inelastic) Enskog kinetic equation. The effect of the interstitial gas on the solid…

软凝聚态物质 · 物理学 2023-08-30 Rubén Gómez González , Vicente Garzó

Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [Brey et al., Phys.…

统计力学 · 物理学 2007-05-23 V. Garzo , A. Santos , J. M. Montanero

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

This paper investigates the dynamic properties of a confined quasi-two-dimensional granular fluid at moderate densities, modeled within the framework of the Enskog kinetic equation. The system is described using the so-called…

软凝聚态物质 · 物理学 2026-05-06 David González Méndez , Rubén Gómez González , Vicente Garzó

We proposed a new extended version of Enskog theory for the description of the self-diffusion coefficient of a colloidal hard-sphere fluid adsorbed in a matrix of disordered hard-sphere obstacles. In a considered approach instead of contact…

软凝聚态物质 · 物理学 2025-06-26 M. F. Holovko , M. Ya. Korvatska

The static and dynamic properties of binary mixtures of hard spheres with a diameter ratio of $\sigma_B/\sigma_A=0.1$ and a mass ratio of $m_B/m_A=0.001$ are investigated using event driven molecular dynamics. The contact value of the pair…

软凝聚态物质 · 物理学 2013-09-30 Marcus N. Bannerman , Leo Lue
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