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We study a two-dimensional gas of inelastic smooth hard dimers. Since the collisions between dimers are dissipative, being characterized by a coefficient of restitution $\alpha<1$, and no external driving force is present, the energy of the…

We consider a space-homogeneous gas of {\it inelastic hard spheres}, with a {\it diffusive term} representing a random background forcing (in the framework of so-called {\em constant normal restitution coefficients} $\alpha \in [0,1]$ for…

偏微分方程分析 · 数学 2010-02-02 Stéphane Mischler , Clément Mouhot

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

软凝聚态物质 · 物理学 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

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

A freely cooling granular gas with velocity dependent restitution coefficient is studied in one dimension. The restitution coefficient becomes near elastic when the relative velocity of the colliding particles is less than a velocity scale…

软凝聚态物质 · 物理学 2009-11-13 Mahendra Shinde , Dibyendu Das , R. Rajesh

The Boltzmann collision operator for a dilute granular gas of inelastic rough hard spheres is much more intricate than its counterpart for inelastic smooth spheres. Now the one-body distribution function depends not only on the…

软凝聚态物质 · 物理学 2014-11-10 Andrés Santos

The transmission of kinetic energy through chains of inelastically colliding spheres is investigated for the case of constant coefficient of restitution \epsilon=const and impact-velocity dependent coefficient \epsilon(v) for viscoelastic…

材料科学 · 物理学 2009-10-31 Thorsten Poeschel , Nikolai V. Brilliantov

We perform large-scale event-driven Molecular dynamics (MD) simulations for granular gases of particles interacting with the impact-velocity dependent restitution coefficient. We use the simplest first-principle collision model of…

统计力学 · 物理学 2015-06-11 Awadhesh Kumar Dubey , Anna Bodrova , Sanjay Puri , Nikolai Brilliantov

The coefficient of restitution of a spherical particle in contact with a flat plate is investigated as a function of the impact velocity. As an experimental observation we notice non-trivial (non-Gaussian) fluctuations of the measured…

In most of the literature on granular gases it is assumed that the restitution coefficient \epsilon, which quantifies the loss of kinetic energy upon a collision is independent on the impact velocity. Experiments as well as theoretical…

统计力学 · 物理学 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel

An analytical expression of the coefficient of restitution for viscoelastic materials is derived for the viscous-dominant case, such as collisions of polymeric melt. The recently proposed normal impact force model between two colliding…

软凝聚态物质 · 物理学 2015-06-17 Sangrak Kim

Granular systems confined in a shallow box and driven by vertical vibration provide a simple geometry to study fluidized granular media. Grains gain kinetic energy vertically through collisions with the walls and redistribute it…

软凝聚态物质 · 物理学 2026-04-21 Ricardo Brito , Rodrigo Soto , Vicente Garzó

We study here the steady state attained in a granular gas of inelastic rough spheres that is subject to a spatially uniform random volume force. The stochastic force has the form of the so-called white noise and acts by adding impulse to…

软凝聚态物质 · 物理学 2015-11-05 Francisco Vega Reyes , Andrés Santos

We explore the possibility of describing the main transport properties of a granular gas by means of a model consisting of elastic hard spheres under the action of a drag force that mimics the inelastic cooling of the granular gas. Direct…

统计力学 · 物理学 2007-05-23 Antonio Astillero , Andres Santos

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

We investigate the free cooling of inelastic rough spheres in the presence of Coulomb friction. Depending on the coefficients of normal restitution $\epsilon$ and Coulomb friction $\mu$, we find qualitatively different asymptotic states.…

统计力学 · 物理学 2007-05-23 Olaf Herbst , Martin Huthmann , Annette Zippelius

Motivated by recent experiments reporting non-Gaussian velocity distributions in driven dilute granular materials, we study by numerical simulation the properties of 2D inelastic gases. We find theoretically that the form of the observed…

软凝聚态物质 · 物理学 2009-11-10 J. S. van Zon , F. C. MacKintosh

We investigate in this article the long-time behaviour of the solutions to the energy-dependant, spatially-homogeneous, inelastic Boltzmann equation for hard spheres. This model describes a diluted gas composed of hard spheres under…

偏微分方程分析 · 数学 2012-07-18 Thomas Rey

The most widely used model for granular gases is perhaps the inelastic hard-sphere model (IHSM), where the grains are assumed to be perfectly smooth spheres colliding with a constant coefficient of normal restitution. A much more tractable…

软凝聚态物质 · 物理学 2022-09-09 Gilberto M. Kremer , Andrés Santos

The existence of two stationary solutions of the nonlinear Boltzmann equation for inelastic hard spheres or disks is investigated. They are restricted neither to weak dissipation nor to small gradients. The one-particle distribution…

软凝聚态物质 · 物理学 2013-05-06 J. Javier Brey , N. Khalil , M. J. Ruiz-Montero