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Granular gases demand models capable of capturing their distinct characteristics. The widely employed inelastic hard-sphere model (IHSM) introduces complexities that are compounded when incorporating realistic features like surface…

Soft Condensed Matter · Physics 2024-06-21 Andrés Santos , Gilberto M. Kremer

Mass transport of a driven granular binary mixture is analyzed from the inelastic Boltzmann kinetic equation for inelastic Maxwell models (IMM). The mixture is driven by a thermostat constituted by two terms: a stochastic force and a drag…

Statistical Mechanics · Physics 2018-09-18 Nagi Khalil , Vicente Garzó

The Boltzmann kinetic equation for dilute granular suspensions under simple (or uniform) shear flow (USF) is considered to determine the non-Newtonian transport properties of the system. In contrast to previous attempts based on a…

Soft Condensed Matter · Physics 2024-03-18 Rubén Gómez González , Vicente Garzó

We study a homogeneously driven granular gas of inelastic hard particles with rough surfaces subject to Coulomb friction. The stationary state as well as the full dynamic evolution of the translational and rotational granular temperatures…

Soft Condensed Matter · Physics 2015-06-24 Olaf Herbst , Raffaele Cafiero , Annette Zippelius , Hans Jürgen Herrmann , Stefan Luding

Granular gaseous mixtures under rapid flow conditions are usually modeled by a multicomponent system of smooth inelastic hard spheres with constant coefficients of normal restitution. In the low density regime an adequate framework is…

Statistical Mechanics · Physics 2009-11-13 Francisco Vega Reyes , Vicente Garzo , Andres Santos

The Boltzmann kinetic equation for low-density granular suspensions under simple shear flow is considered to determine the velocity moments through the fourth degree. The influence of the interstitial gas on solid particles is modeled by a…

Statistical Mechanics · Physics 2019-01-09 Rubén Gómez González , Vicente Garzó

A new numerical method is presented to efficiently simulate the inelastic hard sphere (IHS) model for granular media, when fluid and frozen regions coexist in the presence of gravity. The IHS model is extended by allowing particles to…

Soft Condensed Matter · Physics 2010-12-23 J. Sebastian Gonzalez , Dino Risso , Rodrigo Soto

The model of inelastic Maxwell particles (IMP) allows one to derive some exact results which show the strong influence of inelasticity on the nonequilibrium properties of a granular gas. The aim of this work is to propose a simple model…

Statistical Mechanics · Physics 2007-08-30 Andres Santos

The prototype model of a fluidized granular system is a gas of inelastic hard spheres (IHS) with a constant coefficient of normal restitution $\alpha$. Using a kinetic theory description we investigate the two basic ingredients that a model…

Statistical Mechanics · Physics 2009-11-10 Andres Santos , Antonio Astillero

The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

Soft Condensed Matter · Physics 2023-10-23 Alberto Megías

We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient $r_n$, a maximum tangential restitution…

Statistical Mechanics · Physics 2009-10-31 Raffaele Cafiero , Stefan Luding

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 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

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…

Soft Condensed Matter · Physics 2026-01-01 David González Méndez , Vicente Garzó

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…

Soft Condensed Matter · Physics 2018-03-28 Moisés G. Chamorro

We investigate the steady uniform shear flow of a granular gas composed of inelastic and rough Maxwell particles. Exploiting the mean-field character of the model, we derive exact expressions for the collisional production rates of the…

Soft Condensed Matter · Physics 2026-02-27 Andrés Santos , Gilberto M. Kremer

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 introduce the model of inelastic hard spheres with random restitution coefficient $\alpha$, in order to account for the fact that, in a vertically shaken granular system interacting elastically with the vibrating boundary, the energy…

Soft Condensed Matter · Physics 2009-11-07 Alain Barrat , Emmanuel Trizac , Jean-Noel Fuchs

We study the inhomogeneous clustered regime of a freely cooling granular gas of rough particles in two dimensions using large-scale event driven simulations and scaling arguments. During collisions, rough particles dissipate energy in both…

Soft Condensed Matter · Physics 2015-06-22 Sudhir N. Pathak , Dibyendu Das , R. Rajesh

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…

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