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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…

Analysis of PDEs · Mathematics 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…

Soft Condensed Matter · Physics 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…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Materials Science · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 2015-05-27 Marina Montaine , Michael Heckel , Christof Kruelle , Thomas Schwager , Thorsten Poeschel

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…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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.…

Statistical Mechanics · Physics 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…

Soft Condensed Matter · Physics 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…

Analysis of PDEs · Mathematics 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…

Soft Condensed Matter · Physics 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…

Soft Condensed Matter · Physics 2013-05-06 J. Javier Brey , N. Khalil , M. J. Ruiz-Montero